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24edo solfege: Difference between revisions

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==Kite Giedraitis's solfege==
==Kite Giedraitis's diatonic 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]].
[[Kite Giedraitis|Kite's]] diatonic 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"
{| class="wikitable"
|+
|+Kite's diatonic solfege (-i -e -a -o -u = ^M M ~ m vm), see 31edo
!P1
![[24edo]]
!^1<br>vm2
!0
!m2
!1
!~2
!2
!M2
!3
!^M2<br>vm3
!4
!m3
!5
!~3
!6
!M3
!7
!^M3<br>v4
!8
!P4
!9
!^4<br>vd5
!10
!A4<br>d5
!11
!^A4<br>v5
!12
!P5
!13
!^5<br>vm6
!14
!m6
!15
!~6
!16
!M6
!17
!^M6<br>vm7
!18
!m7
!19
!~7
!20
!M7
!21
!^M7<br>v8
!22
!P8
!23
!24
|-
!notes
|C
|^C
vDb
|Db
|vD
|D
|^D
vEb
|Eb
|vE
|E
|^E
vF
|F
|^F
vGb
|F#
Gb
|^F#
vG
|G
|^G
vAb
|Ab
|vA
|A
|^A
vBb
|Bb
|vB
|B
|^B
vC
|C
|-
!intervals
|P1
|^1
vm2
|m2
|~2
|M2
|^M2
vm3
|m3
|~3
|M3
|^M3
v4
|P4
|^4
vd5
|A4
d5
|^A4
v5
|P5
|^5
vm6
|m6
|~6
|M6
|^M6
vm7
|m7
|~7
|M7
|^M7
v8
|P8
|-
|-
!solfege
|Do
|Do
|Da
|Da
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Ru
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|Ru
|Ro
|Ro
|Ra
|Ra
|Re
|Re
|Ri
|Ri
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Mu
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|Mu
|Mo
|Mo
|Ma
|Ma
|Me
|Me
|Mi
|Mi
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Fu
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|Fu
|Fo
|Fo
|Fa
|Fa
Su
|Fe
|Fe
So
|Fi
|Fi
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Sa
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|Su
|So
|Sa
|Se
|Se
|Si
|Si
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Lu
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|Lu
|Lo
|Lo
|La
|La
|Le
|Le
|Li
|Li
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Tu
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|Tu
|To
|To
|Ta
|Ta
|Te
|Te
|Ti
|Ti
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Du
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|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 295: Line 196:
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 319: Line 220:
|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 361: Line 262:
|Ru
|Ru
|-
|-
|Ru
| Ru
|Lu
|Lu
|Mu
|Mu
Line 369: Line 270:
|Sa
|Sa
|Ra
|Ra
|La
| La
|Ma
|Ma
|Ta
| Ta
|Fa
|Fa
|Da
|Da
|-
|-
|Da
| Da
|Si
|Si
|Ri
|Ri
Line 391: Line 292:
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 401: Line 302:
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
Line 413: Line 314:
!M2
!M2
!^4
!^4
vd5
!M6
!M6
!^1
! ^1
vm2
!M3
!M3
!^5
!^5
vm6
!M7
!M7
!^M2
!^M2
!A4/d5
vm3
!vm7
!A4
d5
!^M6
vm7
!m2
!m2
!v4
! ^M3
v4
!m6
!m6
!v8
! ^M7
v8
!m3
!m3
!v5
!^A4
v5
!m7
!m7
!~2
! ~2
!P4
!P4
!~6
!~6
Line 437: Line 347:
|Se
|Se
|Ta
|Ta
|Re
| Re
|Fa
| Fa
Shu
|Le
|Le
|Da
|Da
Ru
|Me
|Me
|Si
|Si
|Te
Lu
| Te
|Ri
|Ri
|Fe/So
Mu
|Tu
|Fe
So
|Li
Tu
|Ro
|Ro
|Fu
|Mi
Fu
|Lo
|Lo
|Du
| Ti
Du
|Mo
|Mo
|Sa
|Fi
Sa
|To
|To
|Ra
|Ra
Line 497: Line 416:
|Fa<br>Su
|Fa<br>Su
|Lo
|Lo
|Ta
| Ta
|Ro
|Ro
|Ma
|Ma
Line 513: Line 432:
|Li<br>Tu
|Li<br>Tu
|Do
|Do
|}
There is also a circle of down 5ths.
==Kite Giedraitis's chromatic solfege==
[[Kite Giedraitis|Kite's]] chromatic solfege uses the 7 conventional consonants D, R, M, F, S, L and T, plus 5 altered consonants that indicate flattening. It uses unconventional vowels: "oo" = u = '''u'''p, "oh" = o = d'''o'''wn, and "ah" = a = pl'''a'''in. It's a subset of Kite's [[41edo solfege]].
*Fr- = '''f'''lat Re
*Fl- = '''f'''lat La
*Sh- = flat So = sharp Fa
*Th = flat Ti
*N- = flat Mi
{| class="wikitable"
!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
vDb
|Db
|vD
|D
|^D
vEb
|Eb
|vE
|E
|^E
vF
|F
|^F
vGb
|F#
Gb
|^F#
vG
|G
|^G
vAb
|Ab
|vA
|A
|^A
vBb
|Bb
|vB
|B
|^B
vC
|C
|-
!intervals
|P1
|^1
vm2
|m2
|~2
|M2
|^M2
vm3
|m3
|~3
|M3
|^M3
v4
|P4
|^4
vd5
|A4
d5
|^A4
v5
|P5
|^5
vm6
|m6
|~6
|M6
|^M6
vm7
|m7
|~7
|M7
|^M7
v8
|P8
|-
!solfege
|Da
|Du
Fro
|Fra
|Ro
|Ra
|Ru
No
|Na
|Mo
|Ma
|Mu
Fo
|Fa
|Fu
Sho
|Sha
|Shu
So
|Sa
|Su
Flo
|Fla
|Lo
|La
|Lu
Tho
|Tha
|To
|Ta
|Tu
Do
|Da
|}
Beware, Do and So have new meanings.
{| 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
|}
To find the [[octave complement]] of any interval:
*change the '''degree''' as usual: 2nd <--> 7th, 3rd <--> 6th, and 4th <--> 5th
*change the '''quality''' as usual: major <--> minor, aug <--> dim, but perfect and mid are unchanged
*change the '''vowel''' as expected: -i <--> -u and -e <--> -o (-a is unchanged)
*if you get an aug 4th, change it to a dim 5th with the same vowel
*if you get an upminor interval Fru, Nu, Flu or Thu, change it to downmajor: Ro, Mo, Lo or To
===The two circles of fifths===
The plain circle lacks ups and downs, hence the name.
{| class="wikitable" style="text-align:center"
|+The plain circle of 5ths
!P1
!P5
!M2
!M6
!M3
!M7
!A4/d5
!m2
!m6
!m3
!m7
!P4
!P1
|-
|Da
|Sa
|Ra
|La
|Ma
|Ta
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|}
The "off" circle contains the 6 offperfect intervals (^1 ^4 v4 ^5 v5 v8). The other 6 notes could be thought of as offmajor or offminor. Most of the notes in this circle have two names.
{| class="wikitable" style="text-align:center"
|+The "off" circle of 5ths
!vm2<br>^1
!vm6<br>^5
!vm3<br>^M2
!vm7<br>^M6
!v4<br>^M3
!v8<br>^M7
!v5<br>^d5
!~2
!~6
!~3
!~7
!vd5<br>^4
!vm2<br>^1
|-
|Fro
|Flo
|No
|Tho
|Fo
|Do
|So
|Ro
|Lo
|Mo
|To
|Sho
|Fro
|-
|Du
|Su
|Ru
|Lu
|Mu
|Tu
|Shu
|
|
|
|
|Fu
|Du
|}
Viewed as chains instead of circles:
*plain chain: Sha Fra Fla Na Tha Fa '''Da''' Sa Ra La Ma Ta
*off chain: Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To and Fu '''Du''' Su Ru Lu Mu Tu Shu
It's fairly easy to find the note a 4th or 5th above any note. The vowels match, i.e. the syllables rhyme. The consonant is as would be expected from conventional interval arithmetic. However, remember that an aug 4th is named as a dim 5th:
*To + P5 = Sho
*Ta + P5 = Sha
*Tu + P5 = Shu
Thus Ra plus a 4th is Sa, Ro plus a 5th is Lo, etc. And in the example scales above, the 3rd, 6th and 7th always rhyme, as do the tonic, 2nd, 4th and 5th.
===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
vd5
!M6
!^1
vm2
!M3
!^5
vm6
!M7
!^M2
vm3
!d5
!^M6
vm7
!m2
!^M3
v4
!m6
!^M7
v8
!m3
!^d5
v5
!m7
!~2
!P4
!~6
!P1
|-
|Da
|Mo
|Sa
|To
|Ra
|Fu
Sho
|La
|Du
Fro
|Ma
|Su
Flo
|Ta
|Ru
No
|Sha
|Lu
Tho
|Fra
|Mu
Fo
|Fla
|Tu
Do
|Na
|Shu
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
!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
|Sha
|Lo
|Ta
|Ro
|Ma
|Shu
So
|La
|Tu<br>Do
|Ra
|Mu<br>Fo
|Sa
|Lu<br>Tho
|Da
|}
|}
There is also a circle of down 5ths.
There is also a circle of down 5ths.
[[Category:24edo]]
[[Category:24edo]]
[[Category:Solfege]]
[[Category:Solfege]]
Retrieved from "https://en.xen.wiki/w/24edo_solfege"