22edo solfege: Difference between revisions

TallKite (talk | contribs)
m Changed "I propose..." to "Andrew Heathwaite proposes..."
TallKite (talk | contribs)
Major expansion
Line 1: Line 1:
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]]