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31edo solfege: Difference between revisions

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==Andrew Heathwaite system==
==Kite Giedraitis's solfege==
 
[[Andrew Heathwaite]] proposes the following solfege system for singing the intervals of [[31edo]]. Note that this is a subset of the syllables used for singing [[41edo]].


[[Kite Giedraitis|Kite's]] 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. Kite's 24edo solfege is a subset of this solfege.
{| class="wikitable"
{| class="wikitable"
|+
![[31edo]]
!solfege names
![[Ups and downs notation|ups and downs]] names
|-
|-
| |
!unisons
|interval
|Do Da
| | syllable
|P1 ^1
|-
|-
| | 0
!2nds
|P1
|Ru Ro Ra Re Ri
| | do
|vm2 m2 ~2 M2 ^M2
|-
|-
| | 1
!3rds
|^1
|Mu Mo Ma Me Mi
| | di
|vm3 m3 ~3 M3 ^M3
|-
|-
| | 2
!4ths
|vm2
|Fu Fo Fa
| | ro
|v4 P4 ^4
|-
|-
| | 3
!tritones
|m2
|Fe/Su Fi/So
| | ra
|A4/vd5 ^A4/d5
|-
|-
| | 4
!5ths
|~2
|Sa Se Si
| | ru
|v5 P5 ^5
|-
|-
| | 5
!6ths
|M2
|Lu Lo La Le Li
| | re
|vm6 m6 ~6 M6 ^M6
|-
|-
| | 6
!7ths
|^M2
|Tu To Ta Te Ti
| | ri
|vm7 m7 ~7 M7 ^M7
|-
|-
| | 7
!8ves
|vm3
|Du Do (Da)
| | ma
|v8 P8 (^8)
|}
Beware: M,i Fa, So, La and Ti all have new meanings!
 
=== Example scales ===
{| class="wikitable"
|+
!Major scale
|Do
|Re
|Me
|Fo
|Se
|Le
|Te
|Do
|-
|-
| | 8
!Minor scale
|m3
|Do
| | me
|Re
|Mo
|Fo
|Se
|Lo
|To
|Do
|-
|-
| | 9
!Upmajor scale
|~3
|Do
| | mu
|Re
|Mi
|Fo
|Se
|Li
|Ti
|Do
|-
|-
| | 10
!Downminor scale
|M3
|Do
| | mi
|Re
|Mu
|Fo
|Se
|Lu
|Tu
|Do
|-
|-
| | 11
!Mid scale
|^M3
|Do
| | mo
|Re
|Ma
|Fo
|Se
|La
|Ta
|Do
|}
 
=== The circle of fifths ===
The 5 vowels create 5 chains of fifths. The 2 tritones with duplicate names each connect 2 pairs of chains. Thus there are only 3 fifths that don't rhyme:
 
* Do - Se (P1 to P5)
* Da - Si (^1 to ^5)
* Du - Sa (v1 to v5)
 
{| class="wikitable"
|+The 33 note names in circle-of-5ths order
(read left-to-right, top-row-to-bottom-row)
!1sn
!5th
!2nd
!6th
!3rd
!7th
!4th
!1sn
|-
|-
| | 12
|Do
|v4
|Se
| | fe
|Re
|Le
|Me
|Te
|Fe (Su)
|
|-
|-
| | 13
| rowspan="4" |
|P4
|Su
| | fa
|Ru
|Lu
|Mu
|Tu
|Fu
|Du
|-
|-
| | 14
|Sa
|^4 / ~4
|Ra
| | fu
|La
|Ma
|Ta
|Fa
|Da
|-
|-
| | 15
|Si
|A4 / vd5
|Ri
| | fi
|Li
|Mi
|Ti
|Fi (So)
|
|-
|-
| | 16
|So
|^A4 / d5
|Ro
| | se
|Lo
|-
|Mo
| | 17
|To
|v5 / ~5
|Fo
| | su
|Do
|-
|}
| | 18
 
|P5
=== Adding/subtracting 4ths and 5ths ===
| | so or sol
As a result of the aforementioned chains connecting up, it's fairly easy to find the note a 4th or 5th above any note. It always rhymes, and the consonant is as would be expected from conventional interval arithmetic. 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, 2nd, 4th and 5th.
|-
 
| | 19
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 = Su + 5th = Ru. Dim 5ths may also need renaming: So + 4th = Fi + 4th = Ti.
|^5
 
| | si
==Andrew Heathwaite's solfege==
|-
 
| | 20
[[Andrew Heathwaite]]'s solfege is a subset of his [[41edo]] solfege. It expands on the conventional Do - Di/Ra - Re - Ri/Me - Mi - Fa - Fi/Se - So - Si/Le - La - Li/Te - Ti - Do. As a result there are 6 different vowel sequences.
|vm6
{| class="wikitable"
| | lo
|+
|-
![[31edo]]
| | 21
!solfege names
|m6
![[Ups and downs notation|ups and downs]] names
| | le
|-
| | 22
|~6
| | lu
|-
|-
| | 23
!unisons
|M6
|Do Di
| | la
|P1 ^1
|-
|-
| | 24
!2nds
|^M6
|Ro Ra Ru Re Ri
| | li
|vm2 m2 ~2 M2 ^M2
|-
|-
| | 25
!3rds
|vm7
|Ma Me Mu Mi Mo
| | ta
|vm3 m3 ~3 M3 ^M3
|-
|-
| | 26
!4ths
|m7
|Fe Fa Fu
| | te
|v4 P4 ^4
|-
|-
| | 27
!tritones
|~7
|Fi Se
| | tu
|A4/vd5 ^A4/d5
|-
|-
| | 28
!5ths
|M7
|Su So (or Sol) Si
| | ti
|v5 P5 ^5
|-
|-
| | 29
!6ths
|^M7
|Lo Le Lu La Li
| | to
|vm6 m6 ~6 M6 ^M6
|-
|-
| | 30
!7ths
|v8
|Ta Te Tu Ti To
| | da
|vm7 m7 ~7 M7 ^M7
|-
|-
| | 31
!8ves
|P8
|Da Do (Di)
| | do
|v8 P8 (^8)
|}
|}
 
See also: [[17edo Solfege]], [[22edo Solfege]], [[29edo solfege|29edo Solfege]] and [[41edo solfege|41edo Solfege]].
See also: [[17edo Solfege]], [[22edo Solfege]], [[29edo solfege|29edo Solfege]]


For intervals that appear in the diatonic scale, the traditional solfege names are grandfathered in. While this makes it easier to learn the new syllables as extensions of the old ones — if you are trained with the old ones to begin with — it also makes for many irregularities.
For intervals that appear in the diatonic scale, the traditional solfege names are grandfathered in. While this makes it easier to learn the new syllables as extensions of the old ones — if you are trained with the old ones to begin with — it also makes for many irregularities.
Line 209: Line 283:


'''da''' => '''su'''
'''da''' => '''su'''
==Kite Giedraitis system==
===Example scales===
 
[[Kite Giedraitis|Kite's]] system is similar to Andrew's system, but uses a uniform vowel sequence for each degree. It runs [[wikipedia:Front_vowel|front]] to [[wikipedia:Back_vowel|back]] (or bright to dim) -i -e -a -o -u for upmajor-major-mid-minor-downminor. It can be adapted to 24edo: 1\24 = da/ru, 5\24 = ri/mu, etc. 12\24 would be fe/so.
 
{| class="wikitable"
{| class="wikitable"
|+
!Major scale
|Do
|Re
|Mi
|Fa
|Sol
|La
|Ti
|Do
|-
|-
| |
!Minor scale
|interval
| | syllable
|-
| | 0
|P1
| | do
|-
| | 1
|^1
| | da
|-
| | 2
|vm2
| | ru
|-
| | 3
|m2
| | ro
|-
| | 4
|~2
| | ra
|-
| | 5
|M2
| | re
|-
| | 6
|^M2
| | ri
|-
| | 7
|vm3
| | mu
|-
| | 8
|m3
| | mo
|-
| | 9
|~3
| | ma
|-
| | 10
|M3
| | me
|-
| | 11
|^M3
| | mi
|-
| | 12
|v4
| | fu
|-
| | 13
|P4
| | fo
|-
| | 14
|^4 / ~4
| | fa
|-
| | 15
|A4 / vd5
| | fe/su
|-
| | 16
|^A4 / d5
| | fi/so
|-
| | 17
|v5 / ~5
| | sa
|-
| | 18
|P5
| | se
|-
| | 19
|^5
| | si
|-
| | 20
|vm6
| | lu
|-
| | 21
|m6
| | lo
|-
| | 22
|~6
| | la
|-
| | 23
|M6
| | le
|-
| | 24
|^M6
| | li
|-
| | 25
|vm7
| | tu
|-
| | 26
|m7
| | to
|-
| | 27
|~7
| | ta
|-
| | 28
|M7
| | te
|-
| | 29
|^M7
| | ti
|-
| | 30
|v8
| | du
|-
| | 31
|P8
| | do
|}
 
Many scales use only 2 or 3 vowels:
{| class="wikitable"
|+
!major scale
|Do
|Do
|Re
|Re
|Me
|Me
|Fo
|Fa
|Se
|Sol
|Le
|Le
|Te
|Te
|Do
|Do
|-
|-
!minor scale
!Upmajor scale
|Do
|Do
|Re
|Re
|Mo
|Mo
|Fo
|Fa
|Se
|Sol
|Li
|To
|Do
|-
!Downminor scale
|Do
|Re
|Ma
|Fa
|Sol
|Lo
|Lo
|To
|Ta
|Do
|Do
|-
|-
!downminor scale
!Mid scale
|Do
|Do
|Re
|Re
|Mu
|Mu
|Fo
|Fa
|Se
|Sol
|Lu
|Lu
|Tu
|Tu
|Do
|Do
|}
|}
The major and minor scales are the same as conventional solfege.
[[Category:31edo]]
[[Category:31edo]]
[[Category:Solfege]]
[[Category:Solfege]]
Retrieved from "https://en.xen.wiki/w/31edo_solfege"