TallKite: /* Possible expansions */

2022-08-31T22:30:23Z

Possible expansions

← Older revision		Revision as of 22:30, 31 August 2022
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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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	\|		\|
	\|Ro		\|Ro
	\|Nwa		\|(Nwa)
	\|		\|
	\|		\|
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	\|		\|
	\|Ra		\|Ra
	\|Nwu		\|(Nwu)
	\|		\|
	\|		\|
Line 143:		Line 140:
	\|		\|
	\|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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	\|		\|
	\|La		\|La
	\|Thwu		\|(Thwu)
	\|		\|
	\|-		\|-
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	\|		\|
	\|Lu		\|Lu
	\|Thwi		\|(Thwi)
	\|		\|
	\|-		\|-
Line 428:		Line 425:
	\|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)

TallKite: 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..."

2022-08-28T01:33:34Z

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..."

New page

== 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:
{| class="wikitable" style="text-align:center"
|+
!name
|Do
|Da
|Du
|Dri or Di
|Dro
|Dra
|Dru
|-
!interval
|v1
|P1
|^1
|^^1
|vA1
|A1
|^A1
|-
!equivalent
| colspan="3" |
|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 full coverage, we would need more aug and dim intervals. We could add -k- for augmented and -w- for diminished:

* aug 1sns: Dri Dro Dra Dru
* aug 5ths: Ski Sko Ska Sku
* aug 2nds: Kri Kro Kra Kru
* aug 6ths: Kli Klo Kla Klu

* dim 8ves: Dwo Dwa Dwu Dwi
* dim 4ths: Fwo Fwa Fwu Fwi
* dim 7ths: Thwo Thwa Thwu Thwi
* 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"
|+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 <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)

Talk:41edo solfege - Revision history

TallKite: /* Possible expansions */

TallKite: 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..."