24edo solfege - Revision history

TallKite at 04:16, 8 October 2022

2022-10-08T04:16:32Z

← Older revision		Revision as of 04:16, 8 October 2022
Line 1:		Line 1:
	==Uniform solfege==		==Uniform solfege==

	See [[Uniform ~~Solfege~~]] for a full explanation.		See [[Uniform solfege]] for a full explanation.
	{\| class="wikitable"		{\| class="wikitable"
	\|+		\|+

TallKite: major update

2022-10-05T11:44:27Z

major update

Show changes

TallKite at 22:06, 31 August 2022

2022-08-31T22:06:57Z

Show changes

TallKite at 21:51, 31 August 2022

2022-08-31T21:51:59Z

Show changes

TallKite at 23:30, 23 August 2022

2022-08-23T23:30:44Z

← Older revision		Revision as of 23:30, 23 August 2022
Line 5:		Line 5:
	\|+		\|+
	!P1		!P1
	!^1<br>		!^1<br>vm2
	vm2
	!m2		!m2
	!~2		!~2
	!M2		!M2
	!^M2<br>		!^M2<br>vm3
	vm3
	!m3		!m3
	!~3		!~3
	!M3		!M3
	!^M3<br>		!^M3<br>v4
	v4
	!P4		!P4
	!^4<br>		!^4<br>vd5
	vd5		!A4<br>d5
	!A4<br>		!^A4<br>v5
	d5
	!^A4<br>
	v5
	!P5		!P5
	!^5<br>		!^5<br>vm6
	vm6
	!m6		!m6
	!~6		!~6
	!M6		!M6
	!^M6<br>		!^M6<br>vm7
	vm7
	!m7		!m7
	!~7		!~7
	!M7		!M7
	!^M7<br>		!^M7<br>v8
	v8
	!P8		!P8
	\|-		\|-
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	{\| class="wikitable" style="text-align:center"		{\| class="wikitable" style="text-align:center"
	\|+The "off" circle of 5ths		\|+The "off" circle of 5ths
	!vm2		!vm2<br>^1
	^1		!vm6<br>^5
	!vm6		!vm3<br>^M2
	^5		!vm7<br>^M6
	!vm3		!v4<br>^M3
	^M2		!v8<br>^M7
	!vm7		!v5<br>^A4
	^M6
	!v4
	^M3
	!v8
	^M7
	!v5
	^A4
	!~2		!~2
	!~6		!~6
	!~3		!~3
	!~7		!~7
	!vd5		!vd5<br>^4
	^4		!vm2<br>^1
	!vm2
	^1
	\|-		\|-
	\|		\|
Line 481:		Line 463:
	\|+		\|+
	!P1		!P1
	!^M2		!^M2<br>vm3
	vm3
	!P4		!P4
	!^5		!^5<br>vm6
	vm6
	!m7		!m7
	!^1		!^1<br>vm2
	vm2
	!m3		!m3
	!^4		!^4<br>vd5
	vd5
	!m6		!m6
	!~7		!~7
	!m2		!m2
	!~3		!~3
	!A4		!A4<br>d5
	d5
	!~6		!~6
	!M7		!M7
	!~2		!~2
	!M3		!M3
	!^A4		!^A4<br>v5
	v5
	!M6		!M6
	!^M7		!^M7<br>v8
	v8
	!M2		!M2
	!^M3		!^M3<br>v4
	v4
	!P5		!P5
	!^M6		!^M6<br>vm7
	vm7
	!P1		!P1
	\|-		\|-
	\|Do		\|Do
	\|Ri		\|Ri<br>Mu
	Mu
	\|Fo		\|Fo
	\|Si		\|Si<br>Lu
	Lu
	\|To		\|To
	\|Da		\|Da<br>Ru
	Ru
	\|Mo		\|Mo
	\|Fa		\|Fa<br>Su
	Su
	\|Lo		\|Lo
	\|Ta		\|Ta
	\|Ro		\|Ro
	\|Ma		\|Ma
	\|Fe		\|Fe<br>So
	So
	\|La		\|La
	\|Te		\|Te
	\|Ra		\|Ra
	\|Me		\|Me
	\|Fi		\|Fi<br>Sa
	Sa
	\|Le		\|Le
	\|Ti		\|Ti<br>Du
	Du
	\|Re		\|Re
	\|Mi		\|Mi<br>Fu
	Fu
	\|Se		\|Se
	\|Li		\|Li<br>Tu
	Tu
	\|Do		\|Do
	\|}		\|}

TallKite at 23:19, 23 August 2022

2022-08-23T23:19:37Z

← Older revision		Revision as of 23:19, 23 August 2022
Line 551:		Line 551:
	\|}		\|}
	There is also a circle of down 5ths.		There is also a circle of down 5ths.
	[[Category:~~31edo~~]]		[[Category:24edo]]
	[[Category:Solfege]]		[[Category:Solfege]]

TallKite: Created page with "==Kite Giedraitis's solfege== Kite's 24edo solfege uses the conventional consonants D, R, M, F, S, L and T. It uses unconventional vowels. For each de..."

2022-08-23T23:17:38Z

Created page with "==Kite Giedraitis's solfege== Kite's 24edo solfege uses the conventional consonants D, R, M, F, S, L and T. It uses unconventional vowels. For each de..."

New page

==Kite Giedraitis's solfege==

[[Kite Giedraitis|Kite's]] [[24edo]] solfege uses the conventional consonants D, R, M, F, S, L and T. It uses unconventional vowels. For each degree, the sequence runs [[wikipedia:Front_vowel|front]] to [[wikipedia:Back_vowel|back]] (i.e. bright to dim) -i -e -a -o -u for upmajor-major-mid-minor-downminor. It uses the same 33 note names as Kite's [[31edo solfege]].
{| class="wikitable" style="text-align:center"
|+
!P1
!^1 
vm2
!m2
!~2
!M2
!^M2 
vm3
!m3
!~3
!M3
!^M3 
v4
!P4
!^4 
vd5
!A4 
d5
!^A4 
v5
!P5
!^5 
vm6
!m6
!~6
!M6
!^M6 
vm7
!m7
!~7
!M7
!^M7 
v8
!P8
|-
|Do
|Da
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|Ru
|Ro
|Ra
|Re
|Ri
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|Mu
|Mo
|Ma
|Me
|Mi
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|Fu
|Fo
|Fa
|Fe
|Fi
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|Su
|So
|Sa
|Se
|Si
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|Lu
|Lo
|La
|Le
|Li
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|Tu
|To
|Ta
|Te
|Ti
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|Du
|Do
|}
Beware: Mi, Fa, So, La and Ti all have new meanings!
{| class="wikitable" style="text-align:center"
|+
Example scales
|-
!Upmajor scale
|Do
|Re
|Mi
|Fo
|Se
|Li
|Ti
|Do
|-
!Major scale
|Do
|Re
|Me
|Fo
|Se
|Le
|Te
|Do
|-
!Mid scale
|Do
|Re
|Ma
|Fo
|Se
|La
|Ta
|Do
|-
!Minor scale
|Do
|Re
|Mo
|Fo
|Se
|Lo
|To
|Do
|-
!Downminor scale
|Do
|Re
|Mu
|Fo
|Se
|Lu
|Tu
|Do
|}
To find the [[octave complement]] of any interval:

* change the '''degree''' as usual: 2nd <--> 7th, 3rd <--> 6th, and 4th <--> 5th
* change the '''vowel''' as expected: -i <--> -u and -e <--> -o (-a is unchanged)

===The two circles of fifths===
The plain circle lacks ups and downs, hence the name.
{| class="wikitable" style="text-align:center"
|+The plain circle of 5ths
!P1
!P5
!M2
!M6
!M3
!M7
!A4/d5
!m2
!m6
!m3
!m7
!P4
!P1
|-
|Do
|Se
|Re
|Le
|Me
|Te
|Fe/So
|Ro
|Lo
|Mo
|To
|Fo
|Do
|}
The "off" circle contains the 6 offperfect intervals (^1 ^4 v4 ^5 v5 v8). The other 6 notes could be thought of as offmajor or offminor. Most of the notes in this circle have two names.
{| class="wikitable" style="text-align:center"
|+The "off" circle of 5ths
!vm2
^1
!vm6
^5
!vm3
^M2
!vm7
^M6
!v4
^M3
!v8
^M7
!v5
^A4
!~2
!~6
!~3
!~7
!vd5
^4
!vm2
^1
|-
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|Su
|Ru
|-
|Ru
|Lu
|Mu
|Tu
|Fu
|Du
|Sa
|Ra
|La
|Ma
|Ta
|Fa
|Da
|-
|Da
|Si
|Ri
|Li
|Mi
|Ti
|Fi
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|
|
|}
Viewed as chains instead of circles:

* plain chain: So Ro Lo Mo To Fo '''Do''' Se Re Le Me Te Fe
* off chain: Su Ru Lu Mu Tu Fu '''Du''' Sa Ra La Ma Ta Fa '''Da''' Si Ri Li Mi Ti Fi

It's fairly easy to find the note a 4th or 5th above any note. The consonant is as would be expected from conventional interval arithmetic. There are only 3 fifths that don't rhyme:

*Do - Se (P1 to P5)
*Da - Si (^1 to ^5)
*Du - Sa (v1 to v5)
Thus Re plus a 4th is Se, Ro plus a 5th is Lo, etc. And in the example scales above, the 3rd, 6th and 7th always rhyme, as do the tonic and 4th, as do the 2nd and 5th.

However going a 5th up from an aug or upaug 4th would go to an aug or upaug 8ve, which doesn't exist in this solfege. Therefore one must rename the 4th as a dim 5th, then go up to a minor 2nd. Thus Fe + 5th = So + 5th = Ro. Dim 5ths may also need renaming: So + 4th = Fe + 4th = Te.

=== Other circles ===
The two circles of 5ths can be interwoven to make a circle of mid 3rds.
{| class="wikitable" style="text-align:center"
|+
!P1
!~3
!P5
!~7
!M2
!^4
!M6
!^1
!M3
!^5
!M7
!^M2
!A4/d5
!vm7
!m2
!v4
!m6
!v8
!m3
!v5
!m7
!~2
!P4
!~6
!P1
|-
|Do
|Ma
|Se
|Ta
|Re
|Fa
|Le
|Da
|Me
|Si
|Te
|Ri
|Fe/So
|Tu
|Ro
|Fu
|Lo
|Du
|Mo
|Sa
|To
|Ra
|Fo
|La
|Do
|}
The two circles of 4ths can be interwoven to make a circle of half-4ths.
{| class="wikitable" style="text-align:center"
|+
!P1
!^M2
vm3
!P4
!^5
vm6
!m7
!^1
vm2
!m3
!^4
vd5
!m6
!~7
!m2
!~3
!A4
d5
!~6
!M7
!~2
!M3
!^A4
v5
!M6
!^M7
v8
!M2
!^M3
v4
!P5
!^M6
vm7
!P1
|-
|Do
|Ri
Mu
|Fo
|Si
Lu
|To
|Da
Ru
|Mo
|Fa
Su
|Lo
|Ta
|Ro
|Ma
|Fe
So
|La
|Te
|Ra
|Me
|Fi
Sa
|Le
|Ti
Du
|Re
|Mi
Fu
|Se
|Li
Tu
|Do
|}
There is also a circle of down 5ths.
[[Category:31edo]]
[[Category:Solfege]]