Talk:41edo solfege
Possible expansions
The conventional solfege runs Do - Di/Ra - Re - Ri/Me - Mi - Fa - Fi/Se - Sol - Si/Le - La - Li/Te - Ti - Do. The many enharmonic equivalents provide flexibility in naming. My (Kite's) 41edo solfege has only 4 equivalents, resulting in awkward names like a VIv chord being La - Fra - Ma. There could be 4 new syllables for the aug unisons:
| name | Do | Da | Du | Di or Dri | Dro | Dra | Dru |
|---|---|---|---|---|---|---|---|
| interval | v1 | P1 | ^1 | ^^1 | vA1 | A1 | ^A1 |
| equivalent | Fro | Fra | Fru | Ri | |||
Mnemonic: the Dr- names have an "r" like the equivalent 2nds do. The VIv chord would be named La - Dro - Ma. If followed by a II chord, the melody Fra-Ra would become Dro-Ra, much better.
However this is not enough to avoid awkward names. For example, the 3rd of the vIIIv chord is a vv#5 note named as a 6th, Flo. To get as much coverage as the conventional solfege, we would need 3 more aug intervals. We could use -k- for augmented:
- aug 5ths: Ski Sko Ska Sku
- aug 2nds: Kri Kro Kra Kru
- aug 6ths: Kli Klo Kla Klu
The vIIIv chord would be named Mo Ski Lo. The 17 -a notes would run from dim 5th to aug 6th:
Sha - Fra - Fla - Na - Tha - Fa - Da - Sa - Ra - La - Ma - Ta - Pa - Dra - Ska - Kra - Kla
Almost every major chord could be spelled appropriately, as long as the root is one of the original 45 names. But bIIv7 lacks a vd8 name. To get all the chords, we would need 4 more dim intervals:
- dim 8ves: Dwo Dwa Dwu Dwi
- dim 4ths: Fwo Fwa Fwu Fwi
- dim 7ths: Thwo Thwa Thwu Thwi
- dim 3rds: Nwo Nwa Nwu Nwi
| 1sns | 2nds | 3rds | 4ths | 5ths | 6ths | 7ths | 8ves | |
|---|---|---|---|---|---|---|---|---|
| 0 | Da | |||||||
| 1 | Du | |||||||
| 2 | Dri | Fro | ||||||
| 3 | Dro | Fra | ||||||
| 4 | Dra | Fru | ||||||
| 5 | Dru | Ri | (Nwo) | |||||
| 6 | Ro | (Nwa) | ||||||
| 7 | Ra | (Nwu) | ||||||
| 8 | Ru | (Nwi) | ||||||
| 9 | Kri | No | ||||||
| 10 | Kro | Na | ||||||
| 11 | Kra | Nu | ||||||
| 12 | Kru | Mi | (Fwo) | |||||
| 13 | Mo | (Fwa) | ||||||
| 14 | Ma | (Fwu) | ||||||
| 15 | Mu | (Fwi) | ||||||
| 16 | Fo | |||||||
| 17 | Fa | |||||||
| 18 | Fu | |||||||
| 19 | Fi | Sho | ||||||
| 20 | Po | Sha | ||||||
| 21 | Pa | Shu | ||||||
| 22 | Pu | Si | ||||||
| 23 | So | |||||||
| 24 | Sa | |||||||
| 25 | Su | |||||||
| 26 | Ski | Flo | ||||||
| 27 | Sko | Fla | ||||||
| 28 | Ska | Flu | ||||||
| 29 | Sku | Li | (Thwo) | |||||
| 30 | Lo | (Thwa) | ||||||
| 31 | La | (Thwu) | ||||||
| 32 | Lu | (Thwi) | ||||||
| 33 | Kli | Tho | ||||||
| 34 | Klo | Tha | ||||||
| 35 | Kla | Thu | ||||||
| 36 | Klu | Ti | (Dwo) | |||||
| 37 | To | (Dwa) | ||||||
| 38 | Ta | (Dwu) | ||||||
| 39 | Tu | (Dwi) | ||||||
| 40 | Do | |||||||
| 41 | Da |
We could do this, but should we? With 61 or 77 names, the solfege is harder to learn. With names like Nwo and Thwu, it's less singable. Such a complex solfege is more of a barrier than an aid. IMO such expansions shouldn't happen unless absolutely needed, say if perhaps 41edo becomes an extremely popular tuning rivaling 12edo. TallKite (talk) 01:33, 28 August 2022 (UTC)