17edo solfege

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Andrew Heathwaite's solfege

Basic solfege

Andrew's solfege expands on the conventional Do - Di/Ra - Re - Ri/Me - Mi - Fa - Fi/Se - So - Si/Le - La - Li/Te - Ti - Do. Note that syllables usually treated as enharmonic equivalents become distinct pitches in 17edo. Note that Di (the A1) is wider than Ra (the m2).

17edo 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
notes (fixed-do) C Db C# D Eb D# E F Gb F# G Ab G# A Bb A# B C
intervals (movable-do) P1 m2 A1 M2 m3 A2 M3 P4 d5 A4 P5 m6 A5 M6 m7 A6 M7 P8
solfege Do Ra Di Re Me Ri Mi Fa Se Fi So Le Si La Te Li Ti Do

Listed as a circle of 5ths: Se Ra Le Me Te Fa Do So Re La Mi Ti Fi Di Si Ri Li (Se)

The intervals run from dim5 to aug6. Note the strangely-spelled 5th from Li to Se (a double-dim 7th) that completes the circle.

Expanded solfege

To avoid naming ascending intervals as descending (e.g. Ra-Di or Me-Ri), 10 enharmonic equivalents are added, so that the 10 black keys each have two names. The 6 mid intervals use -u. The 4 half-aug intervals ^1, ^M2, ^5 and ^M6 use either -a or -o, whichever one doesn't conflict with a pre-existing syllable.

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
C ^C / Db C# / vD D ^D / Eb D# / vE E F ^F / Gb F# / vG G ^G / Ab G# / vA A ^A / Bb A# / vB B C
P1 ^1 / m2 A1 / ~2 M2 ^M2 / m3 A2 / ~3 M3 P4 ~4 / d5 A4 / ~5 P5 ^5 / m6 A5 / ~6 M6 ^M6 / m7 A6 / ~7 M7 P8
Do Da / Ra Di / Ru Re Ro / Me Ri / Mu Mi Fa Fu / Se Fi / Su So Sa / Le Si / Lu La Lo / Te Li / Tu Ti Do

Listed as a chain of mid-3rds, with 6 gaps:

Se (no vm7) Ra (no v4) Le (no v1) Me Su Te Ru Fa Lu Do Mu So Tu Re Fu La Da Mi Sa Ti Ro Fi Lo Di (no ^M3) Si (no ^M7) Ri (no ^A4) Li

Listed by degree:

17edo 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
1sns Do Da Di
2nds Ra Ru Re Ro Ri
3rds Me Mu Mi
4ths Fa Fu Fi
5ths Se Su So Sa Si
6ths Le Lu La Lo Li
7ths Te Tu Ti
8ves Do

See also 22edo Solfege

Uniform Solfege

See Uniform solfege for a full explanation.

17edo 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
notes C ^C / Db vD D ^D / Eb vE E F ^F / Gb F# / vG G Ab vA A ^A / Bb vB B / vC C
intervals P1 ^1 / m2 ~2 M2 ^M2 / m3 ~3 M3 P4 ~4 / d5 A4 / ~5 P5 m6 ~6 M6 ^M6 / m7 ~7 M7 / v8 P8
solfege Da Du / Fra Ro Ra Na Mo Ma Fa Fu / Sha Pa / So Sa Fla Lo La Tha To Ta / Do Da
extras Fru No Ru Nu Fo Su Flu Tho Lu Thu
circle of fifths
0 10 3 13 6 16 9 2 12 5 15 8 1 11 4 14 7 17
-a Da Sa Ra La Ma Ta Pa
-o Do So Ro Lo Mo To
-u (Fru) (Flu) (Nu) (Thu) Fu Du
-a Sha Fra Fla Na Tha Fa Da
perfect major mid minor perfect