22edo solfege: Difference between revisions

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Major expansion
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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"
|-
|-
! degree
! [[22edo]]
! 0
! 0
! 1
! 1
Line 26: Line 27:
! 20
! 20
! 21
! 21
!22
|-
|-
! solfege syllable
!notes
| do
|C
| di
|Db
| ra
|^Db
| ru
|vD
| re
|D
| ma
|Eb
| me
|^Eb
| mi
|vE
| mo
|E
| fa
|F
| fu
|^F/Gb
| fi
|vF#/^Gb
| su
|F#/vG
| sol
|G
| lo
|Ab
| le
|^Ab
| la
|vA
| li
|A
| ta
|Bb
| tu
|^Bb
| ti
|vB
| da
|B
|C
|-
|-
! cents
!intervals
| 0
|P1
| 55
|m2
| 109
|^m2
| 164
|vM2
| 218
|M2
| 273
|m3
| 327
|^m3
| 382
|vM3
| 436
|M3
| 491
|P4
| 545
|^4/d5
| 600
|vA4/^d5
| 655
|A4/v5
| 709
|P5
| 764
|m6
| 818
|^m6
| 873
|vM6
| 927
|M6
| 982
|m7
| 1036
|^m7
| 1091
|vM7
| 1145
|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]]
See also [[17edo Solfege]]
{| class="wikitable"
|+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
|}
== 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"
|-
! [[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
| 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"
|+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
|-
!Plain minor scale
|Da
|Ra
|Mi
|Fi
|Sa
|Li
|Ti
|Da
|}
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
{| class="wikitable"
|+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]]

Revision as of 09:23, 22 August 2022

Andrew Heathwaite's solfege

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.

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 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

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

Kite Giedraitis's solfege

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 minor-upminor-downmajor-major, pronounced "meener oop-meener doe-n-mah-jur mah-jur".

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 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 = Re-minor = m2
  • Ru =-Re-upminor = ^m2
  • Ro = Re-downmajor = vM2
  • Ra = Re-major = M2
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
Plain minor scale Da Ra Mi Fi Sa Li Ti Da

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
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)
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.