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24edo solfege: Difference between revisions

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==Kite Giedraitis's solfege==
==Uniform solfege==


[[Kite Giedraitis|Kite's]] [[24edo]] 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. It uses the same 33 note names as Kite's [[31edo solfege]].
See [[Uniform solfege]] for a full explanation.
{| class="wikitable" style="text-align:center"
{| class="wikitable"
|+
|+
!P1
![[24edo]]
!^1<br>
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
!13
!14
!15
!16
!17
!18
!19
!20
!21
!22
!23
!24
|-
!notes
|C
|^C
vDb
|Db
|^Db
vD
|D
|^D
vEb
|Eb
|^Eb
vE
|E
|^E
vF
|F
|^F
vF# vGb
|F#
Gb
|^F#
^Gb vG
|G
|^G
vAb
|Ab
|^Ab
vA
|A
|^A
vBb
|Bb
|^Bb
vB
|B
|^B
vC
|C
|-
!intervals
|P1
|^1
vm2
vm2
!m2
|m2
!~2
|~2
!M2
|M2
!^M2<br>
|^M2
vm3
vm3
!m3
|m3
!~3
|~3
!M3
|M3
!^M3<br>
|^M3
v4
v4
!P4
|P4
!^4<br>
|~4
vd5
vd5
!A4<br>
|A4
d5
d5
!^A4<br>
|~5
v5
v5
!P5
|P5
!^5<br>
|^5
vm6
vm6
!m6
|m6
!~6
|~6
!M6
|M6
!^M6<br>
|^M6
vm7
vm7
!m7
|m7
!~7
|~7
!M7
|M7
!^M7<br>
|^M7
v8
v8
!P8
|P8
|-
|-
|Do
!solfege
|Da
|Du
Fro
|Fra
|Fru
Ro
|Ra
|Ru
No
|Na
|Nu
Mo
|Ma
|Mu
Fo
|Fa
|Fu
Po Sho
|Pa
Sha
|Pu
Shu So
|Sa
|Su
Flo
|Fla
|Flu
Lo
|La
|Lu
Tho
|Tha
|Thu
To
|Ta
|Tu
Do
|Da
|Da
|
|}
|
Fru, Nu, Flu and Thu are included to complete the -u circle, so that one can do interval arithmetic within it.
|
{| class="wikitable"
|
|+'''circles of fifths'''
|
! rowspan="3" |plain
|
circle
|
!
|
!0
|
!14
|
!4
|
!18
|
!8
|
!22
|
!12
|
!2
|
!16
|
!6
|
!20
|
!10
|
!24
|
|
|
|-
|-
|
!-a
|Ru
|Da
|Ro
|Sa
|Ra
|Ra
|Re
|La
|Ri
|Ma
|
|Ta
|
|Pa
|
|
|
|
|
|
|
|
|
Line 84: Line 181:
|
|
|
|
|-
!-a
|
|
|
|
Line 90: Line 189:
|
|
|
|
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|-
| colspan="15" |
|-
!
!
!1
!15
!5
!19
!9
!23
!13
!3
!17
!7
!21
!11
!1
|-
|-
|
! rowspan="2" |up
|
circle
|
!-u
|
|Du
|
|Su
|Ru
|Lu
|Mu
|Mu
|Mo
|Tu
|Ma
|Pu
|Me
|Mi
|
|
|
|
|
|
|
|
|
|
|
|
|
Line 117: Line 232:
|
|
|-
|-
!-u
|
|
|
|
Line 123: Line 239:
|
|
|
|
|
|Shu
|
|Fru
|
|Flu
|Nu
|Thu
|Fu
|Fu
|Du
|-
! rowspan="2" |down
circle
!-o
|Fro
|Flo
|No
|Tho
|Fo
|Fo
|Fa
|Do
|Fe
|So
|Fi
|Ro
|
|Lo
|
|Mo
|
|To
|
|Po
|
|
|
|
|
|
|
|
|-
|-
!-o
|
|
|
|
Line 154: Line 276:
|
|
|
|
|Su
|Sho
|So
|Fro
|}
{| class="wikitable" style="text-align:center"
|+
Example scales
|-
!Upmajor scale
|Da
|Ra
|Mu
|Fa
|Sa
|Lu
|Tu
|Da
|-
!Major scale
|Da
|Ra
|Ma
|Fa
|Sa
|La
|Ta
|Da
|-
!Mid scale
|Da
|Ra
|Mo
|Fa
|Sa
|Lo
|To
|Da
|-
!Minor scale
|Da
|Ra
|Na
|Fa
|Sa
|Fla
|Tha
|Da
|-
!Downminor scale
|Da
|Ra
|No
|Fa
|Sa
|Flo
|Tho
|Da
|}
===Other circles===
The two circles of 5ths can be interwoven to make a circle of mid 3rds.
{| class="wikitable" style="text-align:center"
|+
!P1
!~3
!P5
!~7
!M2
!^4<br>vd5
!M6
!^1<br>vm2
!M3
!^5<br>vm6
!M7
!^M2<br>vm3
!A4
d5
!^M6<br>vm7
!m2
!^M3<br>v4
!m6
!^M7<br>v8
!m3
!^d5<br>v5
!m7
!~2
!P4
!~6
!P1
|-
|Da
|Mo
|Sa
|To
|Ra
|Fu<br>Sho
|La
|Du<br>Fro
|Ma
|Su<br>Flo
|Ta
|Ru<br>No
|Pa<br>Sha
|Lu<br>Tho
|Fra
|Mu<br>Fo
|Fla
|Tu<br>Do
|Na
|Shu<br>So
|Tha
|Ro
|Fa
|Lo
|Da
|}
The two circles of 4ths can be interwoven to make a circle of half-4ths.
{| class="wikitable" style="text-align:center"
|+
!P1
!^M2<br>vm3
!P4
!^5<br>vm6
!m7
!^1<br>vm2
!m3
!^4<br>vd5
!m6
!~7
!m2
!~3
!A4
d5
!~6
!M7
!~2
!M3
!^d5<br>v5
!M6
!^M7<br>v8
!M2
!^M3<br>v4
!P5
!^M6<br>vm7
!P1
|-
|Da
|Ru
No
|Fa
|Su<br>Flo
|Tha
|Du
Fro
|Na
|Fu<br>Sho
|Fla
|To
|Fra
|Mo
|Pa
Sha
|Lo
|Ta
|Ro
|Ma
|Shu
So
|La
|Tu<br>Do
|Ra
|Mu<br>Fo
|Sa
|Sa
|Lu<br>Tho
|Da
|}
There is also a circle of down 5ths.
==Kite Giedraitis's solfege==
[[Kite Giedraitis|Kite's]] solfege uses the conventional 7 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. It uses the exact same 33 note names as Kite's [[31edo solfege]].
{| class="wikitable" style="text-align:center"
|+Kite's diatonic solfege (-i -e -a -o -u = ^M M ~ m vm), see 31edo
![[24edo]]
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
!13
!14
!15
!16
!17
!18
!19
!20
!21
!22
!23
!24
|-
!notes
|C
|^C<br>vDb
|Db
|vD
|D
|^D<br>vEb
|Eb
|vE
|E
|^E<br>vF
|F
|^F<br>vGb
|F#<br>Gb
|^F#<br>vG
|G
|^G<br>vAb
|Ab
|vA
|A
|^A<br>vBb
|Bb
|vB
|B
|^B<br>vC
|C
|-
!intervals
|P1
|^1<br>vm2
|m2
|~2
|M2
|^M2<br>vm3
|m3
|~3
|M3
|^M3<br>v4
|P4
|^4<br>vd5
|A4<br>d5
|^A4<br>v5
|P5
|^5<br>vm6
|m6
|~6
|M6
|^M6<br>vm7
|m7
|~7
|M7
|^M7<br>v8
|P8
|-
!solfege
|Do
|Da<br>Ru
|Ro
|Ra
|Re
|Ri<br>Mu
|Mo
|Ma
|Me
|Mi<br>Fu
|Fo
|Fa<br>Su
|Fe<br>So
|Fi<br>Sa
|Se
|Se
|Si
|Si<br>Lu
|
|
|
|
|
|
|
|
|
|-
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|Lu
|Lo
|Lo
|La
|La
|Le
|Le
|Li
|Li<br>Tu
|
|
|
|
|
|-
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|Tu
|To
|To
|Ta
|Ta
|Te
|Te
|Ti
|Ti<br>Du
|
|-
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|Du
|Do
|Do
|}
|}
Beware: Mi, Fa, So, La and Ti all have new meanings!
Beware: Mi, Fa, So, La and Ti all have new meanings.
{| class="wikitable" style="text-align:center"
{| class="wikitable" style="text-align:center"
|+
|+
Line 304: Line 621:
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 <--> -u and -e <--> -o (-a is unchanged)
*change the '''vowel''' as expected: -i <--> -u and -e <--> -o (-a is unchanged)


===The two circles of fifths===
===The two circles of fifths===
Line 328: Line 645:
|Se
|Se
|Re
|Re
|Le
| Le
|Me
| Me
|Te
|Te
|Fe/So
|Fe/So
|Ro
|Ro
|Lo
|Lo
|Mo
| Mo
|To
|To
|Fo
|Fo
Line 342: Line 659:
{| class="wikitable" style="text-align:center"
{| class="wikitable" style="text-align:center"
|+The "off" circle of 5ths
|+The "off" circle of 5ths
!vm2
!vm2<br>^1
^1
!vm6<br>^5
!vm6
!vm3<br>^M2
^5
!vm7<br>^M6
!vm3
!v4<br>^M3
^M2
!v8<br>^M7
!vm7
!v5<br>^A4
^M6
!v4
^M3
!v8
^M7
!v5
^A4
!~2
!~2
!~6
!~6
!~3
!~3
!~7
!~7
!vd5
!vd5<br>^4
^4
!vm2<br>^1
!vm2
^1
|-
|-
|
|
Line 379: Line 687:
|Ru
|Ru
|-
|-
|Ru
| Ru
|Lu
|Lu
|Mu
|Mu
Line 387: Line 695:
|Sa
|Sa
|Ra
|Ra
|La
| La
|Ma
|Ma
|Ta
| Ta
|Fa
|Fa
|Da
|Da
|-
|-
|Da
| Da
|Si
|Si
|Ri
|Ri
Line 409: Line 717:
Viewed as chains instead of circles:
Viewed as chains instead of circles:


* plain chain: So Ro Lo Mo To Fo '''Do''' Se Re Le Me Te Fe
*plain chain: So Ro Lo Mo To Fo '''Do''' Se Re Le Me Te Fe
* off chain: Su Ru Lu Mu Tu Fu '''Du''' Sa Ra La Ma Ta Fa '''Da''' Si Ri Li Mi Ti Fi
*off chain: Su Ru Lu Mu Tu Fu '''Du''' Sa Ra La Ma Ta Fa '''Da''' Si Ri Li Mi Ti Fi


It's fairly easy to find the note a 4th or 5th above any note. The consonant is as would be expected from conventional interval arithmetic. There are only 3 fifths that don't rhyme:
It's fairly easy to find the note a 4th or 5th above any note. The consonant is as would be expected from conventional interval arithmetic. There are only 3 fifths that don't rhyme:
Line 419: Line 727:
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 and 4th, as do the 2nd and 5th.
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 and 4th, as do the 2nd and 5th.


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 = So + 5th = Ro. Dim 5ths may also need renaming: So + 4th = Fe + 4th = Te.
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 a 5th to a minor 2nd. Thus Fe + 5th = So + 5th = Ro. Likewise when adding a 4th, dim 5ths need renaming: So + 4th = Fe + 4th = Te.


=== Other circles ===
=== Other circles===
The two circles of 5ths can be interwoven to make a circle of mid 3rds.
The two circles of 5ths can be interwoven to make a circle of mid 3rds.
{| class="wikitable" style="text-align:center"
{| class="wikitable" style="text-align:center"
|+
|+
!P1
! P1
!~3
!~3
!P5
!P5
!~7
!~7
!M2
!M2
!^4
!^4<br>vd5
!M6
!M6
!^1
! ^1<br>vm2
!M3
!M3
!^5
!^5<br>vm6
!M7
!M7
!^M2
!^M2<br>vm3
!A4/d5
!A4<br>d5
!vm7
!^M6<br>vm7
!m2
!m2
!v4
! ^M3<br>v4
!m6
!m6
!v8
! ^M7<br>v8
!m3
!m3
!v5
!^A4<br>v5
!m7
!m7
!~2
!~2
Line 456: Line 764:
|Ta
|Ta
|Re
|Re
|Fa
|Fa<br>Shu
|Le
|Le
|Da
|Da<br>Ru
|Me
|Me
|Si
|Si<br>Lu
|Te
| Te
|Ri
|Ri<br>Mu
|Fe/So
|Fe<br>So
|Tu
|Li<br>Tu
|Ro
|Ro
|Fu
|Mi<br>Fu
|Lo
|Lo
|Du
| Ti<br>Du
|Mo
|Mo
|Sa
|Fi<br>Sa
|To
|To
|Ra
|Ra
Line 481: Line 789:
|+
|+
!P1
!P1
!^M2
!^M2<br>vm3
vm3
!P4
!P4
!^5
!^5<br>vm6
vm6
!m7
!m7
!^1
!^1<br>vm2
vm2
!m3
!m3
!^4
!^4<br>vd5
vd5
!m6
!m6
!~7
!~7
!m2
!m2
!~3
!~3
!A4
!A4<br>d5
d5
!~6
!~6
!M7
!M7
!~2
!~2
!M3
!M3
!^A4
!^A4<br>v5
v5
!M6
!M6
!^M7
!^M7<br>v8
v8
!M2
!M2
!^M3
!^M3<br>v4
v4
!P5
!P5
!^M6
!^M6<br>vm7
vm7
!P1
!P1
|-
|-
|Do
|Do
|Ri
|Ri<br>Mu
Mu
|Fo
|Fo
|Si
|Si<br>Lu
Lu
|To
|To
|Da
|Da<br>Ru
Ru
|Mo
|Mo
|Fa
|Fa<br>Su
Su
|Lo
|Lo
|Ta
| Ta
|Ro
|Ro
|Ma
|Ma
|Fe
|Fe<br>So
So
|La
|La
|Te
|Te
|Ra
|Ra
|Me
|Me
|Fi
|Fi<br>Sa
Sa
|Le
|Le
|Ti
|Ti<br>Du
Du
|Re
|Re
|Mi
|Mi<br>Fu
Fu
|Se
|Se
|Li
|Li<br>Tu
Tu
|Do
|Do
|}
|}
There is also a circle of down 5ths.
There is also a circle of down 5ths.
[[Category:31edo]]
[[Category:24edo]]
[[Category:Solfege]]
[[Category:Solfege]]
Retrieved from "https://en.xen.wiki/w/24edo_solfege"