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Created page with "==Kite's Solfege== ===Overview=== Kite's solfege uses the conventional consonants D, R, M, F, S, L and T. But most consonants have an alternate form that..."
 
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==Kite's Solfege==
==Kite Giedraitis's Solfege==


===Overview===
===Overview ===
[[Kite Giedraitis|Kite]]'s solfege uses the conventional consonants D, R, M, F, S, L and T. But most consonants have an alternate form that indicates flattening or sharpening. The vowels are unconventional: u = '''<u>u</u>'''p, a = pl'''<u>a</u>'''in, o = d'''<u>o</u>'''wn and i = m'''<u>i</u>'''d.
[[Kite Giedraitis|Kite]]'s solfege uses the conventional consonants D, R, M, F, S, L and T. But most consonants have an alternate form that indicates flattening or sharpening. The vowels are unconventional: u = '''<u>u</u>'''p, a = pl'''<u>a</u>'''in, o = d'''<u>o</u>'''wn and i = m'''<u>i</u>'''d.
{| class="wikitable" style="text-align:center;"  
{| class="wikitable" style="text-align:center;"  
|+
|+
!
![[41edo]]
! colspan="2" |solfege names
! colspan="2" |solfege names
! colspan="2" |[[Ups and downs notation|ups and downs]] names
! colspan="2" |[[Ups and downs notation|ups and downs]] names
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|-
|-
!tritones
!tritones
| colspan="2" |Fi/Sho Po/Sha Pa/Shu Pu/Si
| colspan="2" | Fi/Sho Po/Sha Pa/Shu Pu/Si
| colspan="2" |~4/vd5 vA4/d5 A4/^d5 ^A4/~5
| colspan="2" | ~4/vd5 vA4/d5 A4/^d5 ^A4/~5
|-
|-
!5ths
!5ths
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!8ves
!8ves
| colspan="2" |Do Da (Du)
| colspan="2" |Do Da (Du)
| colspan="2" |v8 P8 (^8)
| colspan="2" | v8 P8 (^8)
|}
|}
Th- is unvoiced as in <u>th</u>ink. The idea of 12 consonants is inspired by Erv Wilson's solfege (see below). However Kite added a 13th consonant: P- indicates a sharpened 4th. Mnemonic: Sha sharpens to Sa and Tha sharpens to Ta, so if Fa were spelled Pha, it would sharpen to Pa.
Th- is unvoiced as in <u>th</u>ink. The idea of 12 consonants is inspired by Erv Wilson's solfege (see below). However Kite added a 13th consonant: P- indicates a sharpened 4th. Mnemonic: Sha sharpens to Sa and Tha sharpens to Ta, so if Fa were spelled Pha, it would sharpen to Pa.
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===Example scales===
===Example scales===
 
{| class="wikitable" style="text-align:center;"
*Plain major scale: Da Ra Ma Fa Sa La Ta Da
|+
*Plain minor scale: Da Ra Na Fa Sa Fla Tha Da
!Plain major scale
*Upmajor scale: Da Ra Mu Fa Sa Lu Tu Da
|Da
*Upminor scale: Da Ra Nu Fa Sa Flu Thu Da
|Ra
*Downmajor scale: Da Ra Mo Fa Sa Lo To Da
|Ma
*Downminor scale: Da Ra No Fa Sa Flo Tho Da
|Fa
*Mid scale: Da Ra Mi Fa Sa Li Ti Da
| Sa
*Harmonics 8-16: Da Ra Mo Fi Sa Li Tho To Da
|La
 
|Ta
===Octave Complements===
|Da
|-
!Plain minor scale
|Da
|Ra
|Na
| Fa
| Sa
|Fla
|Tha
|Da
|-
!Downmajor scale
|Da
|Ra
|Mo
|Fa
|Sa
|Lo
|To
|Da
|-
!Upminor scale
|Da
|Ra
|Nu
|Fa
|Sa
|Flu
|Thu
|Da
|-
!Upmajor scale
|Da
|Ra
|Mu
|Fa
|Sa
|Lu
|Tu
|Da
|-
!Downminor scale
| Da
|Ra
|No
| Fa
|Sa
|Flo
|Tho
| Da
|-
!Mid scale
|Da
|Ra
|Mi
|Fa
|Sa
|Li
|Ti
|Da
|}
===Octave Complements ===
To find the [[octave complement]] of any interval:
To find the [[octave complement]] of any interval:


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To summarize, the 4 vowels create 4 separate chains of 5ths, and the 4 tritones with duplicate names connect those 4 chains into one 41-note circle. This is the main rationale for the 13th consonant, for it supplies most of the duplicate names.
To summarize, the 4 vowels create 4 separate chains of 5ths, and the 4 tritones with duplicate names connect those 4 chains into one 41-note circle. This is the main rationale for the 13th consonant, for it supplies most of the duplicate names.
{| class="wikitable"
{| class="wikitable" style="text-align:center;"  
|+The 45 note names in circle-of-5ths order <br>
|+The 45 note names in circle-of-5ths order <br>
(read left-to-right, top-row-to-bottom-row)
(read left-to-right, top-row-to-bottom-row)
!d5
! d5
!m2
!m2
!m6
!m6
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|Mu
|Mu
|Tu
|Tu
|Pu (Si)
|Pu (Si)
|-
|-
| colspan="7" |
| colspan="7" |
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|}
|}


=== Adding/subtracting 4ths, 5ths and major 2nds ===
===Adding/subtracting 4ths, 5ths and major 2nds===
As a result of the aforementioned 4 chains connecting up, It's very easy to find the note a 4th or 5th above any note. It always has the same vowel, and the consonant is as would be expected from conventional interval arithmetic. Thus Ra plus a 4th is Sa, Fro plus a 5th is Flo, etc. And in the example scales above, the 3rd, 6th and 7th always rhyme, as do the tonic, 2nd, 4th and 5th.  
Because the aforementioned 4 chains connect up, it's very easy to find the note a 4th or 5th above any note. It always has the same vowel, and the consonant is as would be expected from conventional interval arithmetic. Ra plus a 4th is Sa, Fro plus a 5th is Flo, etc. Thus in the example scales above, the 3rd, 6th and 7th always rhyme, as do the tonic, 2nd, 4th and 5th.


However the note a 5th above an aug or mid 4th would be an aug or mid 8ve, which doesn't exist in this solfege. Therefore one must rename the aug/mid 4th to a dim/mid 5th. Thus Po + 5th = Sha + 5th = Fra. Dim/mid 5ths may also need renaming: Sha + 4th = Po + 4th = To.
However the note a 5th above an aug or mid 4th would be an aug or mid 8ve, which doesn't exist in this solfege. Therefore one must rename the aug/mid 4th to a dim/mid 5th. Thus Po + 5th = Sha + 5th = Fra. Dim/mid 5ths may also need renaming: Sha + 4th = Po + 4th = To.
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Once this is fully internalized, add in the vowels. This approach also helps with <u>un</u>learning the syllables Do, Mi, So and Ti, which are still present but have a changed meaning.
Once this is fully internalized, add in the vowels. This approach also helps with <u>un</u>learning the syllables Do, Mi, So and Ti, which are still present but have a changed meaning.


== Andrew Heathwaite's Solfege ==
== Andrew Heathwaite's Solfege==
[[Andrew Heathwaite|Andrew]]'s solfege expands on the conventional Do - Di/Ra - Re - Ri/Me - Mi - Fa - Fi/Se - So - Si/Le - La - Li/Te - Ti - Do. As a result there are 6 different vowel sequences.
[[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. As a result there are 6 different vowel sequences.
{| class="wikitable" style="text-align:center;"  
{| class="wikitable" style="text-align:center;"  
|+
|+
!
![[41edo]]
!solfege names
!solfege names
![[Ups and downs notation|ups and downs]] names
![[Ups and downs notation|ups and downs]] names
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|-
|-
!2nds
!2nds
|Ro Rih Ra Ru Reh Re Ri  
|Ro Rih Ra Ru Reh Re Ri
|vm2 m2 ^m2 ~2 vM2 M2 ^M2
|vm2 m2 ^m2 ~2 vM2 M2 ^M2
|-
|-
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|-
|-
!5ths
!5ths
|Sih Sol Si
|Sih So (or Sol) Si
|v5 P5 ^5
|v5 P5 ^5
|-
|-
!6ths
! 6ths
|Lo Leh Le Lu La Laa Li
|Lo Leh Le Lu La Laa Li
|vm6 m6 ^m6 ~6 vM6 M6 ^M6
| vm6 m6 ^m6 ~6 vM6 M6 ^M6
|-
|-
!7ths
!7ths
|Ta Teh Te Tu Ti Taa To
| Ta Teh Te Tu Ti Taa To
|vm7 m7 ^m7 ~7 vM7 M7 ^M7
| vm7 m7 ^m7 ~7 vM7 M7 ^M7
|-
|-
!8ves
!8ves
|Da Do (Di)
| Da Do (Di)
|v8 P8 (^8)
|v8 P8 (^8)
|}
|}


=== Example scales ===
See also: [[31edo solfege]], which is a subset of this solfege.


* Plain major scale: Do Re Maa Fa Sol Laa Taa Do  
===Example scales ===
* Plain minor scale: Do Re Meh Fa Sol Leh Teh Do  
{| class="wikitable" style="text-align:center;"
* Upmajor scale: Do Re Mo Fa Sol Li To Do
|+
* Downmajor scale: Do Re Mi Fa Sol La Ti Do (same as conventional solfege)
!Plain major scale
* Upminor scale: Do Re Me Fa Sol Le Te Do (same as conventional solfege)
|Do
* Downminor scale: Do Re Ma Fa Sol Lo Ta Do  
|Re
* Mid scale: Do Re Mu Fa Sol Lu Tu Do  
|Maa
* Harmonics 8-16: Do Re Mi Fu Sol Lu Ta Ti Do
|Fa
| Sol
|Laa
|Taa
|Do
|-
!Plain minor scale
|Do
|Re
|Meh
| Fa
| Sol
|Leh
|Teh
|Do
|-
!Downmajor scale
|Do
|Re
|Mi
|Fa
|Sol
|La
|Ti
|Do
|-
!Upminor scale
|Do
|Re
|Me
|Fa
|Sol
|Le
|Te
|Do
|-
!Upmajor scale
|Do
|Re
|Mo
|Fa
|Sol
|Li
|To
|Do
|-
!Downminor scale
| Do
|Re
|Ma
| Fa
|Sol
|Lo
|Ta
| Do
|-
!Mid scale
|Do
|Re
|Mu
|Fa
|Sol
|Lu
|Tu
|Do
|}
The downmajor and upminor scales are the same as conventional solfege.


==Erv Wilson's Solfege==
==Erv Wilson's Solfege==
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{| class="wikitable" style="text-align:center;"  
{| class="wikitable" style="text-align:center;"  
|+
|+
!
![[41edo]]
! colspan="2" |solfege names
! colspan="2" |solfege names
! colspan="2" |[[Ups and downs notation|ups and downs]] names
! colspan="2" |[[Ups and downs notation|ups and downs]] names
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|-
|-
!2nds
!2nds
|Su So Se Si
| Su So Se Si
|Nu Na Ni
| Nu Na Ni
|vm2 m2 ^m2 ~2
|vm2 m2 ^m2 ~2
|vM2 M2 ^M2
|vM2 M2 ^M2
|-
|-
!3rds
!3rds
|Fu Fa Fi
| Fu Fa Fi
|Bu Bo Be Bi
| Bu Bo Be Bi
|vm3 m3 ^m3
|vm3 m3 ^m3
|~3 vM3 M3 ^M3
|~3 vM3 M3 ^M3
|-
|-
!4ths
!4ths
| colspan="2" |Du Da Di
| colspan="2" | Du Da Di
| colspan="2" |v4 P4 ^4
| colspan="2" | v4 P4 ^4
|-
|-
!tritones
!tritones
| colspan="2" |Gu Go Ge Gi
| colspan="2" | Gu Go Ge Gi
| colspan="2" |~4/vd5 vA4/d5 A4/^d5 ^A4/~5
| colspan="2" |~4/vd5 vA4/d5 A4/^d5 ^A4/~5
|-
|-
!5ths
!5ths
| colspan="2" |Ju Ja Ji
| colspan="2" | Ju Ja Ji
| colspan="2" |v5 P5 ^5
| colspan="2" | v5 P5 ^5
|-
|-
!6ths
!6ths
|Tu To Te Ti
| Tu To Te Ti
|Pu Pa Pi
| Pu Pa Pi
|vm6 m6 ^m6 ~6
|vm6 m6 ^m6 ~6
|vM6 M6 ^M6
|vM6 M6 ^M6
|-
|-
!7ths
!7ths
|Lu La Li
| Lu La Li
|Ru Ro Re Ri
| Ru Ro Re Ri
|vm7 m7 ^m7
|vm7 m7 ^m7
|~7 vM7 M7 ^M7
|~7 vM7 M7 ^M7
|-
|-
!8ves
!8ves
| colspan="2" |Ku Ka (Ki)
| colspan="2" | Ku Ka (Ki)
| colspan="2" |v8 P8 (^8)
| colspan="2" | v8 P8 (^8)
|}
|}
Vowel sequences: -u -a -i for the 7 notes of the Dorian scale and -u -o -e -i for the other 5 notes.  
Vowel sequences: -u -a -i for the 7 notes of the Dorian scale and -u -o -e -i for the other 5 notes.  


=== Example scales ===
===Example scales===
{| class="wikitable" style="text-align:center;"
|+
!Plain dorian scale
|Ka
|Na
|Fa
|Da
| Ja
|Pa
|La
|Ka
|-
!Plain major scale
|Ka
|Na
|Be
|Da
|Ja
|Pa
|Re
|Ka
|-
!Plain minor scale
|Ka
|Na
|Fa
| Da
| Ja
|To
|La
|Ka
|-
!Downmajor scale
|Ka
|Na
|Bi
|Da
|Ja
|Pi
|Ri
|Ka
|-
!Upminor scale
|Ka
|Na
|Bo
|Da
|Ja
|Pu
|Ro
|Ka
|-
!Upmajor scale
|Ka
|Na
|Fi
|Da
|Ja
|Te
|Li
|Ka
|-
!Downminor scale
| Ka
|Na
|Fu
| Da
|Ja
|Tu
|Lu
| Ka
|-
!Mid scale
|Ka
|Na
|Bu
|Da
|Ja
|Ti
|Ru
|Ka
|}
*


* Plain dorian scale: Ka Na Fa Da Ja Pa La Ka
[[Category:41edo]]
* Plain major scale: Ka Na Be Da Ja Pa Re Ka
[[Category:Solfege]]
* Plain minor scale: Ka Na Fa Da Ja To La Ka
* Upmajor scale: Ka Na Bi Da Ja Pi Ri Ka
* Downmajor scale: Ka Na Bo Da Ja Pu Ro Ka
* Upminor scale: Ka Na Fi Da Ja Te Li Ka
* Downminor scale: Ka Na Fu Da Ja Tu Lu Ka
* Mid scale: Ka Na Bu Da Ja Ti Ru Ka
* Harmonics 8-16: Ka Na Bo Gu Ja Ti Lu Ro Ka
Retrieved from "https://en.xen.wiki/w/41edo_solfege"