Talk:41edo solfege: Difference between revisions

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TallKite (talk | contribs)
Created page with "== 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..."
 
TallKite (talk | contribs)
 
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|Da
|Da
|Du
|Du
|Dri or Di
|Di or Dri
|Dro
|Dro
|Dra
|Dra
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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.
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 full coverage, we would need more aug and dim intervals. We could add -k- for augmented and -w- for diminished:
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 1sns: Dri Dro Dra Dru
* aug 5ths: Ski Sko Ska Sku  
* aug 5ths: Ski Sko Ska Sku  
* aug 2nds: Kri Kro Kra Kru  
* aug 2nds: Kri Kro Kra Kru  
* aug 6ths: Kli Klo Kla Klu
* 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 8ves: Dwo Dwa Dwu Dwi
* dim 4ths: Fwo Fwa Fwu Fwi
* dim 4ths: Fwo Fwa Fwu Fwi
* dim 7ths: Thwo Thwa Thwu Thwi
* dim 7ths: Thwo Thwa Thwu Thwi
* dim 3rds: Nwo Nwa Nwu Nwi
* dim 3rds: Nwo Nwa Nwu Nwi
The vIIIv chord would be named Mo Ski Lo. The 21 -a notes would run from dim 3rd to aug 6th:
Nwa - Thwa - Fwa - Dwa - Sha - Fra - Fla - Na - Tha - Fa - Da - Sa - Ra - La - Ma - Ta - Pa - Dra - Ska - Kra - Kla
Almost every chord could be spelled appropriately, as long as the root is one of the original 45 names.


{| class="wikitable" style="text-align:center"
{| class="wikitable" style="text-align:center"
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|Dru
|Dru
|Ri
|Ri
|Nwo
|(Nwo)
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|
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|
|Ro
|Ro
|Nwa
|(Nwa)
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|Ra
|Ra
|Nwu
|(Nwu)
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|
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|
|
|Ru
|Ru
|Nwi
|(Nwi)
|
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|Kru
|Kru
|Mi
|Mi
|Fwo
|(Fwo)
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|Mo
|Mo
|Fwa
|(Fwa)
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|Ma
|Ma
|Fwu
|(Fwu)
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|Mu
|Mu
|Fwi
|(Fwi)
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|Sku
|Sku
|Li
|Li
|Thwo
|(Thwo)
|
|
|-
|-
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|
|
|Lo
|Lo
|Thwa
|(Thwa)
|
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|-
|-
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|La
|La
|Thwu
|(Thwu)
|
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|-
|-
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|Lu
|Lu
|Thwi
|(Thwi)
|
|
|-
|-
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|Klu
|Klu
|Ti
|Ti
|Dwo
|(Dwo)
|-
|-
!37
!37
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|
|
|To
|To
|Dwa
|(Dwa)
|-
|-
!38
!38
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|
|
|Ta
|Ta
|Dwu
|(Dwu)
|-
|-
!39
!39
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|
|
|Tu
|Tu
|Dwi
|(Dwi)
|-
|-
!40
!40
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|}
|}


We <u>could</u> do this, but <u>should</u> we? With 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. [[User:TallKite|TallKite]] ([[User talk:TallKite|talk]]) 01:33, 28 August 2022 (UTC)
We <u>could</u> do this, but <u>should</u> 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. [[User:TallKite|TallKite]] ([[User talk:TallKite|talk]]) 01:33, 28 August 2022 (UTC)

Latest revision as of 22:30, 31 August 2022

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
expanded 41edo solfege
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)