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22edo solfege: Difference between revisions

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Andrew Heathwaite proposes the following mapping of pitches of [[22edo]] to solfege syllables:
== Andrew Heathwaite's solfege ==
[[Andrew Heathwaite|Andrew]]'s solfege expands on the conventional Do - Di/Ra - Re - Ri/Me - Mi - Fa - Fi/Se - Sol - Si/Le - La - Li/Te - Ti - Do.


{| class="wikitable"
{| class="wikitable center-all"
|-
|-
! degree
![[22edo]]
! 0
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
!13
!14
!15
!16
!17
!18
!19
!20
!21
!22
|-
!notes
|C
|Db
|^Db
|vD
|D
|Eb
|^Eb
|vE
|E
|F
|^F/Gb
|vF#/^Gb
|F#/vG
|G
|Ab
|^Ab
|vA
|A
|Bb
|^Bb
|vB
|B
|C
|-
!intervals
|P1
|m2
|^m2
|vM2
|M2
|m3
|^m3
|vM3
|M3
|P4
|^4/d5
|vA4/^d5
|A4/v5
|P5
|m6
|^m6
|vM6
|M6
|m7
|^m7
|vM7
| M7
|P8
|-
!solfege
|Do
|Di
|Ra
|Ru
|Re
|Ma
|Me
|Mi
|Mo
|Fa
|Fu
|Fi
| Su
| Sol
|Lo
|Le
|La
|Li
|Ta
|Tu
|Ti
|Da
|Do
|}
 
See also [[17edo Solfege]]
{| class="wikitable center-all"
|+Example scales
!Plain major scale
|Do
|Re
|Mo
|Fa
|Sol
|Li
|Da
|Do
|-
!Downmajor scale
|Do
|Re
|Mi
|Fa
|Sol
| La
|Ti
|Do
|-
!Upminor scale
|Do
|Re
|Me
|Fa
|Sol
|Le
| Tu
|Do
|-
!Plain minor scale
|Do
|Re
|Ma
|Fa
|Sol
|Lo
|Ta
|Do
|-
![[Porcupine|Triyo/Porcupine]][7] [[Genchain mode numbering|4th]]
|Do
|Ru
|Me
|Fa
| Sol
| La
|Tu
|Do
|}
 
==Uniform Solfege==
See [[Uniform solfege]] for a full explanation.
{| class="wikitable center-all"
|+
![[22edo]]
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
!13
!14
!15
!16
!17
!18
!19
!20
!21
!22
|-
!notes
|C
|Db
|^Db
|vD
|D
|Eb
|^Eb
|vE
|E
|F
|^F/Gb
|vF#/^Gb
|F#/vG
|G
| Ab
|^Ab
|vA
|A
|Bb
| ^Bb
|vB
|B
|C
|-
!intervals
|P1
|m2
|^m2
|vM2
| M2
| m3
| ^m3
|vM3
|M3
|P4
|^4/d5
| vA4/^d5
|A4/v5
|P5
| m6
|^m6
|vM6
|M6
|m7
|^m7
|vM7
|M7
|P8
|-
!solfege
|Da
|Du
Fra
|Fru
|Ro
|Ra
|Na
|Nu
|Mo
|Ma
|Fa
|Fu
Sha
|Po
Shu
|Pa
So
|Sa
|Fla
|Flu
|Lo
|La
|Tha
|Thu
|To
|Ta
Do
|Da
|-
!extras
|Fro
|
|
|
|No
|Ru
|
|
|Fo
|Mu
Sho
|
|
|
|Pu
Flo
|Su
|
|
|Tho
|Lu
|
|
|
|Tu
|}
The extra names Du and Do aren't necessary, but only one D- note seems too few since all the other degrees have 4 names.
{| class="wikitable center-all"
|+'''circle of fifths'''
!
!0
! 13
!4
!17
!8
!21
!12
!3
! 16
!7
!20
!11
!2
!15
!6
!19
!10
! 1
! 1
! 2
!14
! 3
!5
! 4
!18
! 5
!9
! 6
!22
! 7
|-
! 8
!-a
|Da
|Sa
| Ra
|La
|Ma
|Ta
|Pa
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|-
!-o
|
|
|
|
|
|Do
|So
|Ro
|Lo
|Mo
|To
|Po
|
|
|
|
|
|
|
|
|
|
|
|-
!-u
|
|
|
|
|
|
|
|
|
|
|
|Shu
|Fru
|Flu
|Nu
|Thu
|Fu
|Du
|
|
|
|
|
|-
!-a
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|-
!
! colspan="2" |perfect
! colspan="4" |major
|
! colspan="4" |downmajor
|
! colspan="4" |upminor
|
! colspan="4" |minor
! colspan="2" |perfect
|}
 
{| class="wikitable center-all"
|+Example scales
!Plain major scale
|Da
|Ra
|Ma
|Fa
|Sa
|La
|Ta
|Da
|-
!Downmajor scale
|Da
|Ra
|Mo
|Fa
|Sa
|Lo
|To
|Da
|-
!Upminor scale
|Da
|Ra
|Nu
|Fa
|Sa
|Flu
|Thu
|Da
|-
!Plain minor scale
|Da
|Ra
|Na
|Fa
|Sa
|Fla
|Tha
|Da
|-
![[Porcupine|Triyo/Porcupine]][7] [[Genchain mode numbering|4th]]
|Da
|Ro
|Nu
|Fa
|Sa
|Lo
|Thu
|Da
|}
 
==Kite Giedraitis's solfege==
[[Kite Giedraitis|Kite]]'s solfege uses the conventional consonants D R M F S L T but unconventional vowels. The vowel sequence is -i -u -o -a for m'''i'''nor-'''u'''pminor-d'''o'''wnmajor-m'''a'''jor, pronounced "m'''ee'''ner '''oo'''p-meener d'''oe'''-n-mah-jur m'''ah'''-jur".
 
{| class="wikitable center-all"
|-
![[22edo]]
!0
!1
!2
!3
!4
!5
!6
!7
!8
! 9
! 9
! 10
!10
! 11
!11
! 12
!12
! 13
! 13
! 14
!14
! 15
!15
! 16
!16
! 17
!17
! 18
!18
! 19
!19
! 20
!20
! 21
!21
! 22
|-
!notes
|C
|Db
|^Db
|vD
|D
|Eb
|^Eb
|vE
|E
|F
|^F/Gb
|vF#/^Gb
|F#/vG
|G
|Ab
| ^Ab
|vA
|A
|Bb
|^Bb
|vB
|B
| C
|-
!intervals
|P1
|m2
|^m2
|vM2
|M2
|m3
|^m3
|vM3
|M3
|P4
|^4/d5
|vA4/^d5
|A4/v5
|P5
|m6
|^m6
|vM6
|M6
|m7
|^m7
|vM7
|M7
|P8
|-
!solfege
|Da
|Ri
|Ru
|Ro
|Ra
|Mi
|Mu
|Mo
|Ma
|Fi
|Fu/Si
|Fo/Su
|Fa/So
|Sa
|Li
|Lu
|Lo
|La
|Ti
|Tu
|To
|Ta
|Da
|}
The four 2nds illustrate the solfege's logic:
 
*Ri = '''R'''e-m'''i'''nor = m2
*Ru = '''R'''e-'''u'''pminor = ^m2
*Ro = '''R'''e-d'''o'''wnmajor = vM2
*Ra = '''R'''e-m'''a'''jor = M2
 
{| class="wikitable center-all"
|+Example scales
!Plain major scale
|Da
|Ra
|Ma
|Fi
|Sa
|La
|Ta
|Da
|-
!Downmajor scale
|Da
|Ra
|Mo
|Fi
|Sa
|Lo
|To
|Da
|-
!Upminor scale
|Da
|Ra
|Mu
|Fi
|Sa
|Lu
|Tu
|Da
|-
|-
! solfege syllable
!Plain minor scale
| do
|Da
| di
|Ra
| ra
|Mi
| ru
|Fi
| re
|Sa
| ma
|Li
| me
|Ti
| mi
|Da
| mo
| fa
| fu
| fi
| su
| sol
| lo
| le
| la
| li
| ta
| tu
| ti
| da
|-
|-
! cents
![[Porcupine|Triyo/Porcupine]][7] [[Genchain mode numbering|4th]]
| 0
|Da
| 55
|Ro
| 109
|Mu
| 164
|Fi
| 218
|Sa
| 273
|Lo
| 327
|Tu
| 382
|Da
| 436
| 491
| 545
| 600
| 655
| 709
| 764
| 818
| 873
| 927
| 982
| 1036
| 1091
| 1145
|}
|}
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 <--> -a and -o <--> -u


See also [[17edo Solfege]]
{| class="wikitable center-all"
|+The 25 note names in circle-of-5ths order
(read left-to-right, top-row-to-bottom-row)
!1sns
!5ths
!2nds
!6ths
!3rds
!7ths
!4ths (5ths)
!1sns
|-
|Da
|Sa
|Ra
|La
|Ma
|Ta
|Fa (So)
| rowspan="3" |
|-
| rowspan="3" |
|So
|Ro
|Lo
|Mo
|To
|Fo (Su)
|-
|Su
|Ru
|Lu
|Mu
|Tu
|Fu (Si)
|-
|Si
|Ri
|Li
|Mi
|Ti
|Fi
|Da
|}
If spelled properly, all 4ths and 5ths rhyme, except for Da-Fi and Fi-Da.


[[Category:22edo]]
[[Category:22edo]]
[[Category:Solfege]]
[[Category:Solfege]]
Retrieved from "https://en.xen.wiki/w/22edo_solfege"