17edo solfege: Difference between revisions
Major rewrite. Removed superfluous text and tables (someone let me know if I went too far!), added an analysis as a circle of 5ths and as a chain of mid 3rds. |
m Fredg999 moved page 17edo Solfege to 17edo solfege: WP:NCCAPS |
(No difference)
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Revision as of 14:52, 22 August 2022
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