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A pitch class notaion for diaschismic temperaments =]

🔗ae_risse_lic_cion <aerisselicious@...>

5/29/2009 7:25:33 PM

Hello there =)

For a while I have considered ways to label ten pitch classes per octave
in diaschismic temperaments. I did this because diatonic note names are
based on the unison interval 81:80, which is not tempered out by any
diaschismic system other than 12-EDO, and therefore a system to notate
pitch classes in diaschismic temperament would need a different
foundation to look elegant and workable.

Here is a letter system that I came up with a while ago:

I s K s L t S s M s Æ s N s Q t R s H s I
Notes: J, O and P are omitted to avoid confusion with I, Q and R,
respectively; M and N are chosen as subdominant and dominant of I due to
M and N being the median letters of our alphabet; S is used to fill in
the gap between L and M, and H is used as a leading note to I. 's'
represents a diatonic semitone (16:15 = 17:16 = 18:17 = 135:128) and 't'
represents a minor tone (10:9 = 75:68)

For example, here are some chords:
I.S.N - 4:5:6 I Major Triad
K.Æ.Q - 4:5:6 K Major Triad
S.N.H.K - 10:12:15:17 S Minor Tetrad
Æ.Râ†".K.Sâ†" - 10:12:15:17 Æ Minor Tetrad (â†`
and â†" represent a 25:24 change of pitch)
M.Qâ†`.I.L - 20:25:30:34 M Major-minor Tetrad (May sound somewhat
dissonant)
I.S.N.R.K - Approx. 8:10:12:14:17 Pentad (Requires 120:119 as unison
interval, i.e. Pajara temperament)

Discuss this system here, and I highly appreciate any suggestions and
comments you have.~

-- Karisa des-Aries (Not my real name)