Netagin/Music

Netagin music, both classical and modern, is usually based on 19 equal divisions of the octave (19edo), a diatonic tuning where E# is equated to Fb instead of E# = F as in 12edo. Before the invention of electronic tuners, this temperament could be realized by tuning a chain of 19 pure 5/3 minor sixths, which approximates the tuning to less than 3 cents of error. Though 19edo is a meantone tuning like 12edo and diatonic music is not uncommon in Netagin culture, liturgical and folk music is usually based on the nine-note MOS scale 331313131 (called godzilla[9] in regular temperament theory; which also exists in 24edo, 43edo and 62edo which are sometimes preferred specifically for tuning this scale) which is an extension of the familiar pentatonic scale. This article mainly deals with the use of the nonatonic scale in Netagin music.

A haňier /hɐɲɪɾ/ (literally 'stepping') consists of a nine-note scale plus which subsets to emphasize, either a set of two buri /bɨ'ɾi/ (pentachords or hexachords; lit. 'sprint') or a pezům /pɛ'zuəm/ ('set of five'), a pentatonic subset where 1\19 is not used as a step. Different styles encourage different subset use.

Buris

In theory, the six possible buris with large (C-D) and small (C-C#) steps that build up a scale are:

1. C-D-E-E#-F
2. C-D-Ebb-E#-F
3. C-D-Ebb-Eb-F
4. C-Dbb-Ebb-E#-F
5. C-Dbb-Ebb-Eb-F
6. C-Dbb-Db-E#-F

In practice, usually only the first five are used. The two buris may be disjunct (separated by a major second), or conjunct (either spanning a minor seventh above the root or the major second above the root).

The top note of a buri functions similarly to the ghammāz in Arabic ajnās.

A style that emphasizes buris is preferred for dark, mournful or creepy music (to emphasizing pezůms).

Pezůms

The Giganian mode of the 9-note scale, with the pezům 0-250-500-700-950-1200 highlighted (notated in 19edo).

Pezůms are said to sound brighter.

Common pezůms are (TODO: Netagin names):

• C-D#-F-G-A#-C ("the most neutral-sounding")
• C-D-E-G-A-C ("mellow and joyful")
• C-D-E-G-A#-C ("pompous")
• C-D#-E#-G-A#-C ("majectic")
• C-D-E#-G-A#-C ("unsettled, suspended")
• C-D#-E#-G#-A-C ("slightly anxious and distressed")
• C-Eb-F-G-Bb-C

Rarer pezůms:

• C-Eb-F-G-A#-Cb ("exotic")
• C-D#-F#-Ab-Bb-C 0-250-550-800-1000-1200 ("disoriented")

Counterpoint

Mainly based on pezeoms with ornamentations as needed?

Contrary motion

• Clear up naiadics regularly.
• You can resolve to 250 inward.
• 400 can open to 500
• 450 can open to 700
• 950 can open to 1200
• be aware that naiadics are highly active: try to resolve naiadics to intervals or use them as a jumping point to modulate.
• 250 is relatively stable so you should close down to it using contrary motion, it wont work as well as parallel thirds, tho.
• 500 and 1000 are ambiguous suspended intervals.

Parallel motion

• Parallel naiadics/minor thirds are good.
• Parallel 750s/900s are ok ish but parallel 950's are better/
• Parallel 250s work less well.

Harmony

Nonatonic modal and functional harmony is a more modern construct and is a staple of modern Netagin popular music, such as rock, metal and electronic music.

MOS modes

Modes of the 9-note scale are called hačama (sg. hačame, lit. facial expression).

TODO: Netagin names

L = C-D, s = C-C# (C-C half-sharp in 24edo)

• Cimmaqie: LLsLsLsLs (Megalonian)
• Tavůlie: LsLLsLsLs Biollantian
• Lympěsie: LsLsLLsLs Giganian
• Bonžie: LsLsLsLLs Hedoran
• Ťatapie: LsLsLsLsL Ebiran
• Zieřqie: sLLsLsLsL Dagahran
• Daqěrie: sLsLLsLsL Shockiran
• Pahučie': sLsLsLLsL Gabaran
• Qapozie: sLsLsLsLL Minillan

Functional harmony

Many of the harmonic functions carry over from diatonic, because the nonatonic scale has fifths and seconds similar to that of diatonic. The functions new to nonatonic are bolded; semi- is used for functions that are a semi-fourth below a diatonic function and similarly hemi- for semi-fourth above a diatonic function. Functions modulate naturally to other functions via fifths, semi-fourths, or sometimes naiadics (perfect fifth minus semifourth; 442 cents in 19edo).

• I. Tonic
• II. Supertonic
• III. Semisubdominant/Mediant (major)
• IV. Mediant (minor)/Semidominant
• V. Subdominant (aka leading tone to dominant)
• VI. Dominant
• VII. Semisubtonic/Submediant(major)
• VIII. Submediant(minor)/Hemidominant
• IX. Subtonic/Leading tone

Diatonic music

Renaissance-esque, choral stuff?

Altered diatonic scales