Nenano

Phthora nenano (Medieval Greek: φθορά νενανῶ, also νενανὼ) is the name of one of the two "extra" modes in the Byzantine Octoechos—an eight mode system, which was created during reforms of the Monastery Agios Sabas, near Jerusalem, and the Stoudiou-Monastery between the seventh and the tenth century.

The phthora nenano as part of the Hagiopolitan octoechos

Today the system of eight diatonic modes and two phthorai ("destroyers") is regarded as the modal system of Byzantine chant, and during the eighth century it became also model for the Latin tonaries—introductions into a proper diatonic eight mode system and its psalmody, created by Frankish cantores during the Carolinigian reform. While φθορά νενανῶ was often called "chromatic", the second phthora was named "nana" (gr. φθορά νανὰ) and called "enharmonic", the names were simply taken from the syllables used for the intonation (enechema). The two phthorai were regarded as two proper modes, but also used as transposition or alteration signs. Within the diatonic modes of the octoechos they cause a change into another (chromatic or enharmonic) genus (metavoli kata genon).

The earliest description of phthora nenano and of the eight mode system (octoechos) can be found in the Hagiopolites treatise which is known in a complete form through a fourteenth-century manuscript. The treatise itself can be dated back to the ninth century, when it introduced the book of tropologion, a collection of troparic and heirmologic hymns which was ordered according to the eight-week cycle of the octoechos. The first paragraph of the treatise maintains, that it was written by John of Damascus. The hymns of the tropologion provided the melodic models of one mode called echos (gr. ἦχος), and models for the phthora nenano appeared in some mele of certain echoi like protos and plagios devteros.

Ἤχους δὲ [λέγουσιν] ἐν τούτῳ ὀκτὼ ψάλλεσθαι. ἔστι δὲ τοῦτο ἀπ[οβλητέον καὶ] ψευδές· ὁ γὰρ πλάγιος δευτέρου ὡς ἐπὶ τὸ πλεῖστο[ν μέσος] δεύτερος ψάλλεται, ὡς τὸ «Νίκην ἔχων Χριστὲ» [καὶ ὡς τὸ «Σ]ὲ τὸν ἐπὶ ὑδάτων» καὶ ἄλλα ὅσα πα[ρὰ τοῦ κυροῦ Κοσμᾶ] καὶ τοῦ κυροῦ Ἰωάννου τοῦ Δαμασκ[ηνοῦ ἀπὸ τῆς μουσικῆς] ἐξ[ε]τέθησαν – ὅσα δὲ [ἐποιήθυσαν ὑπὸ τοῦ κυρ]οῦ [Ἰ]ωσὴφ [καὶ] ἄλλ[ων] τ[ινῶν, ε]ἰ δο[κιμάσεις αὐτὰ μετὰ τῆς μουσικῆς ψάλλειν, οὐκ ἰσάζουσι διὰ τὸ μὴ ἐκτεθῆναι ὑπ’ αὐτῆς – ὁμοίως δὲ καὶ ὁ πλάγιος τετάρτου ὡς ἐπὶ τὸ πλεῖστον μέσος τέταρτος ψάλλεται, ὡς] ἐπὶ τὸ «Σταυρὸν χαράξας Μωσῆς» καὶ ἕτερα οὐκ ὀλίγα. ἔστιν οὖκ ἐκ τούτων γνῶναι, ὅτι οὐκ ὀκτὼ μόνοι ψάλλονται ἀλλὰ δέκα.

For the songs in this book eight Echoi are said to be necessary. But this is not true and should be rejected. In fact the Plagios of Deuteros is mostly sung as Mesos Deuteros—e.g. «Νίκην ἔχων Χριστὲ», the «Σὲ ἐπὶ τῶν ὑδάτων» and other pieces written by Master Cosmas and Master John of Damascus "from the Mousike". (If, however, you try to sing the products of Master Joseph and others "with the Mousike", they will not fit, having not been composed "according to the Mousike"). Similarly the Plagios of Tetartos is mostly sung as Mesos Tetartos like over «Σταυρὸν χαράξας Μωσῆς» and many others. For these cases we can see that ten Echoi are used (for the repertory of this book) and not eight, only.

File:Phthora Nenano.png

Phthora Nenano (φθορά νενανὼ) within the enechema of the plagal devteros echos (ἦχος πλάγιος τοῦ δευτέρου) makes a mesos devteros — transcription according to the dialogue treatise (Mount Athos, Dionysiou monastery, Ms. 570, f. 21v).

The author of the treatise wrote obviously during or after the time of Joseph and his brother Theodore the Studite, when the use the mesos forms, phthorai nenano and nana were no longer popular. The word "mousike" (μουσική) referred an autochthonous theory during the 8th century used by the generation of John of Damascus and Cosmas of Maiuma at Mar Saba, because it was independent from ancient Greek music. But it seems that it was regarded as inappropriate to use these phthorai for the hymn melodies composed by Joseph and other hymns composed since the ninth century, since they must have preferred the diatonic octoechos based on the kyrios and the plagios instead of the mesoi.

The concept of phthora in the Hagiopolites was less concerned that the Nenano and Nana were somehow bridges between the modes. As an introduction of the tropologion it had to integrate the mele composed in these phthorai within the octoechos order and its weekly cycles. Since they had their own mele and compositions like the other echoi, they were subordinated to the eight diatonic echoi according to the pitches or degrees of the mode (phthongoi) of their cadences.

φθοραὶ δὲ ὠνομασθήσαν, ὅτι ἐκ τῶν ἰδίων ἤχων  πᾶρχονται, τελειοῦνται δὲ εἰς ἑτέρων ἤχων φθογγὰς αἱ θέσεις αὐτῶν καὶ τὰ  ποτελέσματα.

They were called Phthorai (i.e. destroyers), because they begin from their own Echoi, but the thesis of their cadences and formulas are on notes (phthongoi) from other Echoi.

They had to be classified according to a certain echos of the eight-week cycle by adding the intonation "nenano" to the intonation of the main diatonic echos (usually abbreviated by a modal signature). For example the intonation formula of echos plagios devteros (E) could be followed by the intonation of nenano which leads to the echos protos (a), as a kind of "mesos devteros", which lies in between the finalis of the kyrios (b natural) and the one of its plagios (E). Usually the diatonic kyrios protos (a) could end on its plagios (D) in the diatonic genus, but the chromatic phthora nenano makes it end in the plagios devteros (E).

The use of phthora nenano in the psaltic art

In the period of the psaltic art (gr. ψαλτική τέχνη, "the art of chant", 1261-1750) the Late Byzantine Notation used four additional phthorai for each mode, including the eight diatonic echoi, in order to indicate the precise moment of a transposition (metavoli kata tonon). The former system of sixteen echoi (4 kyrioi, 4 plagioi, 4 mesoi, and 4 phthorai) which was still used in the old books of the cathedral rite (asmatikon, kontakarion, etc.), was replaced by the Hagiopolitan octoechos and its two phthorai. The new book akolouthiai which replaced the former book and established a mixed rite in Constantinople, introduced into eight diatonic echoi and two phthorai. In rather soloistic chant genres, the devteros echoi were turned into the chromatic genus by an abundant use of the phthora nenano. Hence, it became necessary to distinguish between the proper echos and its phthora, nenano and nana as "extra modes", and their use for temporary changes within the melos of a certain diatonic echos.

The use of six phthorai for all of the ten Hagiopolitan echoi

In his theoretical treatise about psaltic art and in response to the "wrong ideas" that some singers already had some years after the conquest of Constantinople (1458), the famous Maïstoros Manuel Chrysaphes introduced not only into the two phthorai nenano and nana, but also into four phthorai which bind the melos to the diatonic echoi of protos, devteros, tritos, and tetartos.

File:Phthorai.jpg

List of 7 phthorai used for transposition in a 17th-century Papadike (GB-Lbl Ms. Harley 5544, f. 5v).

All six phthora, two of them belonged to the phthora nenano (the phthora of nenano and the one of plagios devteros), could dissolve the former melos and bind it to the melos of the following echos defined by the next medial signature. The diatonic phthora was no longer the destruction of the diatonic modes and its genus, melos, and its tonal system, it could change each mode and its finalis into another echos by a simple transposition. Hence, the list of phthorai mentioned in each Papadikai, was simply a catalogue of transposition signs, which were written over that neume where the transposition has to be done.

Phthora nenano and the plagal second echos

In that respect phthora nenano, as well as nana, stuck out, because within their own melos they were both directed to certain other echoi.

ὅταν δὲ τεθῇ καὶ εἰς ἄλλου ἤχου μέλος, ποιεῖ μέλος ἴδιον παρ’ ὅ ποιοῦσιν αἱ ἄλλαι φθοραὶ καὶ ἡ κατάληξις ταύτης οὐ γίνεται εἰς ἄλλον ἦχον ποτέ, εἰ μὴ εἰς τὸν πλάγιον δευτέρου. εἰ δὲ θήσει τις ταύτην τὴν φθορὰν καὶ οὐ καταλήξει εἰς πλάγιον δευτέρου, ἄλλ’ εἰς ἕτερον ἦχον, τοῦτο οὐκ ἔστιν ἔντεχνον· προείπομεν γάρ, ὅτι ἔστιν  πὸ παραλλαγῶν ἡ αὐτὴ πρῶτος ἦχος·

Whenever it stands in the melody [μέλος] of another echos, it creates its own melody [μέλος] and cadence [κατάληξις] which the other phthorai cannot do, and its resolution never closes into another mode apart from the plagios devteros. If one uses this phthora and it does not resolve [θήσει] into the echos plagios devteros but into another mode, this is not artistic [ἔντεχνον]; for we said before that this is the echos protos by parallage [παραλλαγή].

It was the psaltic art itself which moved the phthongos of plagios devteros to the one of plagios protos. It is possible, that the phthora of plagios devteros was needed to change again into diatonic genus. According to the New Method (since 1814) echos plagios devteros was always chromatic and based on the phthongos of echos protos, memorised as πα. This was Chrysanthos' way to understand Manuel Chrysaphes—probably a contemporary way, since the 17th-century Papadike introduced a seventh phthora for plagios protos.

File:ChrysanthosPlagiosDevteros.png

Chrysanthos' parallage of echos plagios devteros as phthora nenano in the parallage of echos protos and its pentachord (1832, 107, 109).

According to the rules of psaltic art phthora nenano could connect the phthongoi devteros and protos as well as protos and tetartos, as can be seen from the solfège diagram called the "parallage of John Plousiadenos" (see the first X in the first row around the centre of the enechema of phthora nenano).

File:Parallage Ioannis Plousiadinos.jpg

"ἡ σοφωτάτη παραλλαγὴ κυρίου Ἰωάννου Ἰερέως τοῦ Πλουσιαδηνοῦ" in an 18th-century manuscript (Athos, Docheiariou monastery, Ms. 319, fol. 18v)

Despite this possibility Manuel Chrysaphes insisted, that phthora nenano and its chromatic melos has always to be resolved as plagios devteros, any other echos would be against the rules of psaltic art. The living tradition today still respects this rule, since phthongos of the plagios devteros (πλβ᾽) has become the same like plagios protos (πλα᾽): πα (D).

The early Persian and Latin reception

Already in the thirteenth century, there were interval descriptions in Latin and Arabic treatises which proved that the use of the chromatic phthora was common not only among Greek psaltes.

Quţb al-Dīn al-Shīrīz distinguished two ways of using the chromatic genus in parde hiğāzī, named after a region of the Arabian Peninsula. The exact proportions were used during changes to the diatonic genus. In both diatonic and chromatic divisions the ring finger fret of the oud keyboard was used. It had the proportion 22:21—between middle and ring finger fret—and was called after the Baghdadi oud player Zalzal. These are the proportions, presented as a division of a tetrachord using the proportions of 22:21 and 7:6:

12:11 x 7:6 x 22:21 = 4:3 (approximate intervals in cents: 151, 267, 80 = 498)

This Persian treatise is the earliest source which tried to measure the exact proportions of a chromatic mode, which can be compared with historical descriptions of phthora nenano.

In his voluminous music treatise Jerome of Moravia described that "Gallian cantores" used to mix the diatonic genus with chromatic and the enharmonic, despite the use of the two latter were excluded according to Latin theorists:

Gaudent insuper, cum modum organicum notis ecclesiasticis admiscent, quod etiam non abjicit primus modus, necnon et de admixtione modorum duorum generum relictorum. Nam diesim enharmonicam et trihemitonium chromaticum generi diatonico associant. Semitonium loco toni et e converso commutant, in quo quidem a cunctis nationibus in cantu discordant.

Especially when they mix the eclesiastical chant with the organum mode, they like not only to abandon the first mode [simple plainchant in monophonic realization?], but the confusion of both [plainchant and ars organi] includes another [confusion of the diatonic] with the other genera, because they associate the enharmonic diesis and the chromatic trihemitonium with the diatonic genus. They replace the semitonium by the tonus and vice versa, in doing so they differ from the other nations, as far as chant is concerned.

During the seventies of the thirteenth century Jerome met the famous singers in Paris who were well skilled in the artistic performance of ars organi, which is evident by the chant manuscripts of the Abbey Saint-Maur-des-Fossés, of the Abbey Saint-Denis, and of the Notre Dame school. Despite of the fact, that no other Latin treatise ever mentioned that the singers were allowed to use enharmonic or chromatic intervals, and certainly not the transposition practice which was used sometimes by Greek psaltes, they obviously felt free enough to use both during the improvisation of organum—and probably, they became so familiar with the described enharmonic chromaticism, that they even used it during the monophonic performance of plainchant. Jerome as an educated listener regarded it as an unallowed "confusion" between monophonic and polyphonic performance style. Whatever was his opinion about the performance style of Parisian cantores, the detailed description fit well to the use of the phthora nenano as an "echos kratema", as it was mentioned in the later Greek treatises after the end of the Byzantine Empire.

The phthora nenano as kyrios echos and echos kratema

According to a Papadike treatise in a sixteenth-century manuscript (Athens, National Library, Ms. 899 [EBE 899], fol.3f), the anonymous author even argues that phthorai nenano and nana are rather independent modes than phthorai, because singers as well as composers can create whole kratemata out of them.

Εἰσὶ δὲ καὶ φθοραὶ δύο, αἵτινες ψάλλονται σὺν αὐτοῖς, τὸ νανὰ καὶ τὸ νενανὼ. Εἰσί δὲ καὶ ἄλλαι φθοραὶ τῶν ἄλλων ἤχων ἀλλοὐκ εἰσὶ τέλειαι ὡς αὗται. Εκεῖναι γὰρ δεικνύουσιν ἐναλλαγὴν μερικὴν ἀπὸ ἤχου εἰς ἕτερονἶ αὐταὶ δὲ τέλειαι οὖσαι ἔχουσι καὶ κρατήματα ποινθέντα παρὰ τῶν κατὰ καιροὺς ποιντῶν ὡς εἰς κυρίους ἤχους, καὶ εἰκότως ἄν [τις] καλέσειεν αὐτὰς τελείους ἤχους καὶ οὐ φθορὰς.

There are two phthorai which can be sung as those [of the Octoechos]: νανὰ and νενανὼ. There are also the phthorai of the other [kyrioi] echoi, but those are not as perfect [they have no proper melos like nana and nenano?], because they just cause a temporary transition [ἐναλλαγή μερική] from one to another echos, while the former have been used by composers of various epochs to create kratemata like they were [independent] kyrioi echoi. Hence, it is justified to call them rather "perfect echoi" than just "phthorai".

Kratemata were longer sections sung with abstract syllables in a faster tempo. As a disgression used within other forms in papadic or kalophonic chant genres—soloistic like cherubim chant or a sticheron kalophonikon. From a composer's point of view who composed within the mele of the octoechos, a kratema could not only recapitulate the modal structure of its model, but also create a change into another (chromatic or enharmonic) genus. If a composer or protopsaltes realised a traditional model of a cherubikon or koinonikon within the melos of echos protos, the phthora nenano will always end the form of the kratema in echos plagios devteros, only then the singer could find a way back to the main echos. In the later case the kratema was composed so perfectly in the proper melos of phthora nenano, that it could be performed as a separate composition of its own, as they were already separated compositions in the simpler genres like the troparion and the heirmologic odes of the canon since the 9th century.

Gabriel Hieromonachus (mid fifteenth century) already mentioned that the "nenano phone"—the characteristic step (interval) of nenano—seemed to be in some way halved. On folio 5 verso of the quoted treatise (EBE 899), the author gave a similar description of the intervals used with the intonation formula νε–να–νὼ, and it fitted very well to the description that Jerome gave 300 years ago while he was listening to Parisian singers:

Ἄκουσον γὰρ τὴν φθορὰν, ὅπως λέγεται: Τότε λέγεται φθορὰ, ὅταν τῆς φωνῆς τὸ ἥμιου εἴπης ἐν ταῖς κατιούσαις, (ἢ κατ’ ἀκριφολογίαν τὸ τρίτον, ἐν δὲ ταῖς ἀνιούσαις) μίαν καὶ ἥμισυ, ὥσπερ εἰς τὸ νενανώ. Ἄκουσον γὰρ:

νε [ἴσον]—να [δικεντήματα]—να [ὀλίγον]—νω [ὀλίγον με τῇ διπλῇ]

Αὕτη ἡ φθορὰ εἰς τὰς ἀνιούσας. Ἰδοὺ γὰρ εἶπε τοῦ νω τὴν φωνὴν τὴν ἥμισυ εἰς τὸ να.

Please note, what is called "phthora": phthora is called, if you make a half phonic step in descending [direction], (or more precisely a third of it, while [the second interval] has an ascending) one and a half, as in nenano. Listen:

νε [ison]—να [dikentimata: small tone]—να [oligon: one and a half of the great tone]—νὼ [oligon with diple: diesis or quarter tone]

This is the intonation of phthora which is ascending. Concerning the final phonic step [which was a third of tonus in a descending melos], half of it is now part of the [second] να step [φωνή] and the rest [interval is sung] on νω!

The upper small tone leading to the final note of the protos, has a slightly different intonation with respect to the melodic movement, at least according to the practice among educated psaltes of the Ottoman Empire during the eighteenth century. But Gabriel Hieromonachos described already in the fifteenth century, that the singers tend to stray away from their original intonation while they were singing the melos of phthora nenano:

Ὁποπαν γὰρ ψάλλομεν νενανὼ μέλος, οὐκ εἰς ἣν ήρξάμεθα καὶ τελευτῶμεν φωνήν, ἀλλὰ σκοπῶν εὑρήσεις ἐπὶ τὸ κάτω μάλλον ἐρχομένους ἡμᾶς. Αἴτιον δὲ ἡ τοῦ νενανὼ φονή· αὕτη γὰρ ἡμίσεια δοκεῖ πως εἶναι, εἰ καὶ ἡμῖν ἀγνοεῖται· ἄλλως θ' ὅτι ἀσθενεῖς ἐκφέρομεν τὰς τοῦ νενανὼ ἀνιούσας φωνάς, ἵνα ἡ τοῦ νενανὼ ἰδέα χρωματισθῇ τὰς δὲ κατιούσας σῴας, καὶ ἐκ τούτου συμβαίνει τὸ μέλος ὑποχαλᾶν.

Because when we sing a nenano melody, we don’t end on the tone, from which we started, but if you look at it closer, you will find that we come down to a somewhat lower pitch. The reason for this is the nenano interval; for it seems to be in some way halved, even if we are not aware of it; in other words, we perform the nenano intervals weakly in upward direction, in order to give the characteristic colour of nenano, but in downward direction [we perform them] correctly, and this causes the melody to get out of tune.

Actual usage and meaning

Later use of the enechema (initial incantation formula) of nenano as well as the phthora (alteration and transposition sign) of nenano in manuscripts makes it clear that it is associated with the main form of the second plagal mode as it survives in the current practice of Byzantine (Greek Orthodox) chant. Furthermore, the phthora sign of nenano has survived in the nineteenth-century neo-Byzantine notation system which is still used to switch between a diatonic and chromatic intonation of the tetrachord one fourth below.

Chrysanthos' exegesis of the phthora nenano

In the chapter "About apechemata", Chrysanthos quoted the medieval apechema of the phthora nenano as a chromatic tetrachord between the pitch (phthongos) of plagios devteros and protos.

File:Nenano.jpg

The medieval φθορά νενανὼ

This intonation formulas avoids the enharmonic step (diesis) which is expected between tetartos (δ') and protos (α').

His exegesis of this short apechema sets the chromatic or enharmonic tetrachord between plagios protos (πλ α') and tetartos (δ'), so that the diesis lies between tritos (γ') and tetartos (δ'):

File:NenanoExegesis.jpg

Chrysanthos' exegesis of the medieval apechema of phthora nenano (Chrysanthos 1832, 142—§317)

The common modern enechema places the tetrachord likewise:

File:Nenanomodern.jpg

The current intonation of phthora nenano

Chrysanthos' exegeseis of the devteros echoi

The hard chromatic plagios devteros

The medieval enechema of the diatonic echos plagios devteros (Chrysanthos 1832, 139)

Chrysanthos of Madytos offered following exegesis of the traditional echema νεανες which was originally diatonic, but it is currently sung with the chromatic nenano intonation (see νεχὲ ανὲς in Chrysanthos' parallage).

File:ChrysanthosNenano.png

Exegesis of the traditional intonation of the diatonic plagios echos of devteros (ἦχος πλάγιος τοῦ δευτέρου) in the melos of the phthora nenano (Chrysanthos 1832, 139—§314)

File:PlagiosDevterosmodern.jpg

The current enechema of the chromatic echos plagios devteros (Chrysanthos 1832, 140—§314)

Chrysanthos' exegesis employed the concluding cadence formula of the chromatic plagios devteros which was obviously an exegesis based on psaltic rules, as Manual Chrysaphes had once mentioned them.

He described the correct intonation as follows:

§. 245. Ἡ χρωματικὴ κλίμαξ, πα [βου ὕφεσις] [γα δίεσις] δι κε [ζω ὕφεσις] [νη δίεσις] Πα, σύγκειται ἀπὸ δύο τετράχορδα· ἐν ἑκατέρῳ δὲ τετραχόρδῳ κεῖνται τὰ ἡμίτονα οὕτως, ὥστε τὸ διάστημα πα βου εἶναι ἴσον μὲ τὸ κε ζω· τὸ δὲ βου γα εἶναι ἴσον μὲ τὸ ζω νη· καὶ τὸ γα δι εἶναι ἴσον μὲ τὸ νη Πα· καὶ ὅλον τὸ πα δι τετράχορδον εἶναι ἴσον μὲ τὸ κε Πα τετράχορδον. Εἶναι δὲ τὸ μὲν πα βου διάστημα ἴσον ἐλαχιστῳ τόνῳ· τὸ δὲ βου γα, τριημιτόνιον· καὶ τὸ γα δι, ἡμιτόνιον· ἤγουν ἴσον 3:12.

The chromatic scale: D πα—[high E flat]—[high F sharp]—G δι—a κε—[high b flat]—[high c sharp]—d πα', consists of two tetrachords. In each tetrachords the hemitones are placed in a way, that the interval D πα—E βου [ὕφεσις] is the same as a κε—b ζω' [ὕφεσις], Ε βου [ὕφεσις]—F sharp γα [δίεσις] is the same as b ζω' [ὕφεσις]—c sharp νη' [δίεσις], and F sharp γα [δίεσις]—G δι is the same as c sharp νη' [δίεσις]—d πα', so that both tetarchords, D πα—G δ and a κε—d πα', are unisono. This means that the interval D πα—E βου [ὕφεσις] is unisono with the small tone (ἐλάχιστος τόνος), Ε βου [ὕφεσις]—F sharp γα [δίεσις] with the trihemitone, and F sharp γα [δίεσις]—G δι with the hemitone: 3:12—a quarter of the great tone (μείζων τόνος) [7+18+3=28].

Despite of this tradition modern music teachers tried to translate this sophisticated intonation on a modern piano keyboard as "a kind of gipsy-minor."

The soft chromatic kyrios devteros

In a very similar way—like the classical phthora nenano intonation—also the soft chromatic intonation of the echos devteros is represented as a kind of mesos devteros. Here according Chrysanthos of Madytos the exegesis of the traditional devteros intonation can be sung like this:

File:ChrysanthosExegesisDevteros.png

Exegesis of the traditional mesos devteros intonation as chromatic mesos (Chrysanthos 1832, 137-138—§310)

He explained that the intonation of the modern echos devteros was not based on tetraphonia, but on trichords or diphonia:

§. 244. Ἡ χρωματικὴ κλίμαξ νη [πα ὕφεσις] βου γα δι [κε ὕφεσις] ζω Νη σχηματίζει ὄχι τετράχορδα, ἀλλὰ τρίχορδα πάντῃ ὅμοια καὶ συνημμένα τοῦτον τὸν τρόπον·

νη [πα ὕφεσις] βου, βου γα δι, δι [κε ὕφεσις] ζω, ζω νη Πα.

Αὕτη ἡ κλίμαξ ἀρχομένη ἀπὸ τοῦ δι, εἰμὲν πρόεισιν ἐπὶ τὸ βαρὺ, θέλει τὸ μὲν δι γα διάστημα τόνον μείζονα· τὸ δὲ γα βου τόνον ἐλάχιστον· τὸ δὲ βου πα, τόνον μείζονα· καὶ τὸ πα νη, τόνον ἐλάχιστον. Εἰδὲ πρόεισιν ἐπὶ τὸ ὀξὺ, θέλει τὸ μὲν δι κε διάστημα τόνον ἐλάχιστον· τὸ δὲ κε ζω, τόνον μείζονα· τὸ δὲ ζω νη, τόνον ἐλάχιστον· καὶ τὸ νη Πα, τόνον μείζονα. Ὥστε ταύτης τῆς χρωματικῆς κλίμακος μόνον οἱ βου γα δι φθόγγοι ταὐτίζονται μὲ τοὺς βου γα δι φθόγγους τῆς διατονικῆς κλίμακος· οἱ δὲ λοιποὶ κινοῦνται. Διότι τὸ βου νη διάστημα κατὰ ταύτην μὲν τὴν κλίμακα περιέχει τόνους μείζονα καὶ ἐλάχιστον· κατὰ δὲ τὴν διατονικὴν κλίμακα περιέχει τόνους ἐλάσσονα καὶ μείζονα· ὁμοίως καὶ τὸ δι ζω διάστημα.

The chromatic scale C νη—[D flat]—E βου—F γα—G δι—[a flat]—b ζω'—c νη' is not made of tetrachords, but of trichords which are absolutely equal and conjunct with each other—in this way:

C νη—[D flat]—E βου, E βου—F γα—G δι, G δι—[a flat]—b ζω', b ζω'—c νη'—d πα'

If the scale starts on G δι, and it moves towards the lower, the step G δι—F γα requests the interval of a great tone (μείζων τόνος) and the step F γα—E βου a small tone (ἐλάχιστος τόνος); likewise the step E βου—[D flat] πα [ὕφεσις] an interval of μείζων τόνος, and the step πα [ὕφεσις] [D flat]—C νη one of ἐλάχιστος τόνος. When the direction is towards the higher, the step G δι—[a flat] κε [ὕφεσις] requests the interval of a small tone and [a flat] κε [ὕφεσις]—b ζω' that of a great tone; likewise the step b ζω'—c νη' an interval of ἐλάχιστος τόνος, and the step c νη'—Cd πα one of μείζων τόνος. Among the phthongoi of this chromatic scale only the phthongoi βου, γα, and δι can be identified with the same phthongoi of the diatonic scale, while the others are moveable degrees of the mode. While this scale extends between E βου and C νη over one great and one small tone [12+7=19], the diatonic scale extends from the middle (ἐλάσσων τόνος) to the great tone (μείζων τόνος) [12+9=21], for the interval between G δι and b ζω' it is the same.

Chrysanthos' parallage of echos devteros in the soft chromatic genus (1832, pp. 106-108)

Phthora nenano as an "Ottoman corruption"

Because of its early status as one of the two mysterious extra modes in the system, nenano has been subject of much attention in Byzantine and post-Byzantine music theory. Papadikai like the manuscript EBE 899 and other late Byzantine manuscripts associate nenano and nana with the chromatic and the enharmonic genus, one of the three genera of tuning during Classical antiquity that fell into early misuse because of its complexity. If the phthora nenano was already chromatic during the 9th century, including the use of one enharmonic diesis, is still a controversial issue, but medieval Arabic, Persian and Latin authors like Jerome of Moravia rather hint to the possibility that it was.

Greek music theoreticians such as Simon Karas continue up to the end of the twentieth century to regard the intonation nenano as "exotic," although they do not always agree, whether the echos plagios devteros intonation is hard or soft chromatic. Anonymous authors like the one of the 16th-century Papadike (EBE 899) maintained, that one of the minor tones in the tetrachord of nenano should be either smaller or larger than a tempered semitone, approaching the smallest interval of a third or a quarter of a tone. The banishment of instrumental musical practice and its theory from the tradition of Byzantine chant has made it very difficult to substantiate any such claims experimentally, and traditional singers use different intonations depending on their school. The only possible conclusions can be drawn indirectly and tentatively through comparisons with the tradition of Ottoman instrumental court music, which important church theoreticians such as the Kyrillos Marmarinos, Archbishop of Tinos considered a necessary complement to liturgical chant. However, Ottoman court music and its theory are also complex and diverging versions of modes exist according to different schools, ethnic traditions or theorists. There, one encounters various versions of the "nenano" tetrachord, both with a narrow and with a wider minor second either at the top or at the bottom, depending on the interval structure of the scale beyond the two ends of the tetrachord.

Although the phthora nenano is already known as one of two additional phthorai used within the Hagiopolitan octoechos, its chromaticism was often misunderstood as a late corruption of Byzantine chant during the Ottoman Empire, but recent comparisons with medieval Arabic treatises proved that this exchange can dated back to a much earlier period, when Arab music was created as a synthesis of Persian music and Byzantine chant of Damascus.

References

Studies

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