17edo Solfege

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Expanding the "movable-do" solfege system for 17edo: an aid for microtonal singing; a way of wrapping your brain around a new sound system.

Ordinary solfege syllables work very well in 17:

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
C Db C# D Eb D# E F Gb F# G Ab G# A Bb A# B
do ra di re me ri mi fa se fi sol le si la te li do

Note that syllables usually treated as enharmonic equivalents become distinct pitches in 17 (eg. "ra" & "di"). Spelling matters here.

This system could work just fine on its own, but what if I want to respell the pitches to put them into another pitch class? For example, what if I want to treat D# as a kind of third (a neutral third) instead of a kind of second (an augmented second)? For pitches, we have up-down arrows (thank you Sagittal) that can allow us to respell like this:

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
C Db C# D Eb D# E F Gb F# G Ab G# A Bb A# B
C C-up D-down D D-up E-down E F F-up G-down G G-up A-down A A-up B-down B

So, for example, we can respell our augmented second, D#, as a neutral third, E-down, & get something more intuitive & useful for certain purposes.

But what if we want solfege syllables for these respellings?

ru, mu, lu & tu

I offer the suffix "-u" to indicate neutral 2nds, 3rds, 6ths, & 7ths.

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
C Db D-down D Eb E-down E F Gb F# G Ab A-down A Bb B-down B
do ra ru re me mu mi fa se fi sol le lu la te tu ti

So if we encounter a "ru," we know to take it as a neutral second (not an augmented unison); if we encounter "lu," we know to take it as a neutral sixth (not an augmented fifth) & so on.

fu & su

What about the two tritones? Perhaps you want to respell G-flat as F-up. For this, I offer "fu"; likewise, if you want G-down in place of F-up, I offer "su".

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
C Db D-down D Eb E-down E F F-up G-down G Ab A-down A Bb B-down B
do ra ru re me mu mi fa fu su sol le lu la te tu ti

other enharmonics

Some offers, to fill out the octave:

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
C C-up D-down D D-up E-down E F F-up G-down G G-up A-down A A-up B-down B
do da du re ro mu mi fa fu su sol sa lu la lo tu do

side-by-side

For comparison, the full system:

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
C Db/C-up C#/D-down D Eb/D-up D#/E-down E F Gb/F-up F#/G-down G Ab/G-up G#/A-down A Bb/A-up A#/B-down B
do ra di re me ri mi fa se fi sol le si la te li do
do da du re ro mu mi fa fu su sol sa lu la lo tu do

See also 22edo Solfege