22edo solfege: Difference between revisions

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[[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.
[[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"
|-
|-
! [[22edo]]
![[22edo]]
! 0
!0
! 1
!1
! 2
!2
! 3
!3
! 4
!4
! 5
!5
! 6
!6
! 7
!7
! 8
!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
!22
|-
|-
Line 76: Line 76:
|^m7
|^m7
|vM7
|vM7
|M7
| M7
|P8
|P8
|-
|-
! solfege
!solfege
| Do
|Do
| Di
|Di
| Ra
|Ra
| Ru
|Ru
| Re
|Re
| Ma
|Ma
| Me
|Me
| Mi
|Mi
| Mo
|Mo
| Fa
|Fa
| Fu
|Fu
| Fi
|Fi
| Su
| Su
| Sol
| Sol
| Lo
|Lo
| Le
|Le
| La
|La
| Li
|Li
| Ta
|Ta
| Tu
|Tu
| Ti
|Ti
| Da
|Da
|Do
|Do
|}
|}


See also [[17edo Solfege]]
See also [[17edo Solfege]]
{| class="wikitable"
{| class="wikitable center-all"
|+Example scales
|+Example scales
!Plain major scale
!Plain major scale
Line 124: Line 124:
|Fa
|Fa
|Sol
|Sol
|La
| La
|Ti
|Ti
|Do
|Do
Line 135: Line 135:
|Sol
|Sol
|Le
|Le
|Tu
| Tu
|Do
|Do
|-
|-
Line 146: Line 146:
|Lo
|Lo
|Ta
|Ta
|Do
|-
![[Porcupine|Triyo/Porcupine]][7] [[Genchain mode numbering|4th]]
|Do
|Ru
|Me
|Fa
| Sol
| La
|Tu
|Do
|Do
|}
|}


== Kite Giedraitis's solfege ==
==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
!14
!5
!18
!9
!22
|-
!-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".
[[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"
{| class="wikitable center-all"
|-
|-
! [[22edo]]
![[22edo]]
! 0
!0
! 1
!1
! 2
!2
! 3
!3
! 4
!4
! 5
!5
! 6
!6
! 7
!7
! 8
!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
! 22
|-
|-
!notes
!notes
Line 195: Line 534:
|G
|G
|Ab
|Ab
|^Ab
| ^Ab
|vA
|vA
|A
|A
Line 202: Line 541:
|vB
|vB
|B
|B
|C
| C
|-
|-
!intervals
!intervals
Line 229: Line 568:
|P8
|P8
|-
|-
! solfege  
!solfege
| Da
|Da
| Ri
|Ri
| Ru
|Ru
| Ro
|Ro
| Ra
|Ra
| Mi
|Mi
| Mu
|Mu
| Mo
|Mo
| Ma
|Ma
| Fi
|Fi
| Fu/Si
|Fu/Si
| Fo/Su
|Fo/Su
| Fa/So
|Fa/So
| Sa
|Sa
| Li
|Li
| Lu
|Lu
| Lo
|Lo
| La
|La
| Ti
|Ti
| Tu
|Tu
| To
|To
| Ta
|Ta
|Da
|Da
|}
|}
The four 2nds illustrate the solfege's logic:
The four 2nds illustrate the solfege's logic:


* Ri = '''R'''e-m'''i'''nor = m2
*Ri = '''R'''e-m'''i'''nor = m2
* Ru =-'''R'''e-'''u'''pminor = ^m2
*Ru = '''R'''e-'''u'''pminor = ^m2
* Ro = '''R'''e-d'''o'''wnmajor = vM2
*Ro = '''R'''e-d'''o'''wnmajor = vM2
* Ra = '''R'''e-m'''a'''jor = M2
*Ra = '''R'''e-m'''a'''jor = M2


{| class="wikitable"
{| class="wikitable center-all"
|+Example scales
|+Example scales
!Plain major scale
!Plain major scale
Line 301: Line 640:
|Li
|Li
|Ti
|Ti
|Da
|-
![[Porcupine|Triyo/Porcupine]][7] [[Genchain mode numbering|4th]]
|Da
|Ro
|Mu
|Fi
|Sa
|Lo
|Tu
|Da
|Da
|}
|}
To find the [[octave complement]] of any interval:
To find the [[octave complement]] of any interval:


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


{| class="wikitable"
{| class="wikitable center-all"
|+The 25 note names in circle-of-5ths order  
|+The 25 note names in circle-of-5ths order  
(read left-to-right, top-row-to-bottom-row)
(read left-to-right, top-row-to-bottom-row)