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31edo solfege: Difference between revisions

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==Quarter tone system==
While [[31edo]] is a system with fifth of tones, the quarter tone notations is handy and allow to name all the notes in a logical way. Because one tone is 5 degrees, between C and D (do and re) for example, we have the following notes:
{| class="wikitable"
|-
| | '''Degree'''
| | '''Letter'''
| | '''Name'''
| | '''English full name'''
|-
| | 0
| | C
| | do
| | C
|-
| | 1
| | C+
| | do+
| | C half-sharp
|-
| | 2
| | C#
| | do#
| | C sharp
|-
| | 3
| | Db
| | re b
| | D flat
|-
| | 4
| | Dd
| | re d
| | D half-flat
|-
| | 5
| | D
| | re
| | D
|}
Otherwise we can use double sharp and double flat:
{| class="wikitable"
|-
| | '''Degree'''
| | '''Letter'''
| | '''Name'''
| | '''English full name'''
|-
| | 0
| | C
| | do
| | C
|-
| | 1
| | Dbb
| | do bb
| | D double flat
|-
| | 2
| | C#
| | do#
| | C sharp
|-
| | 3
| | Db
| | re b
| | D flat
|-
| | 4
| | Cx
| | re x
| | C double sharp
|-
| | 5
| | D
| | re
| | D
|}
While using double sharp and double flat seem a bit confusing because it then alternates between C and D, it makes sense from a musical point of view. Indeed, as far as harmonics and chords are concerned, using double sharp and double flat allow to have a way of writing chord that is consistent with traditional solfege.
Indeed, if we consider the subminor chord, and write it with D# for the second note and A# for the seventh harmonic, we get the following chords:
*C / D# / G / A#
*C# / Dx / G# / Ax
*Db / E / Ab / B
*D / E# / A / B#</li></ul>
So, as in 12-ET, we have the equation C# ~ Db and E# ~ F, in 31-ET, we have C# ≠ Db and E# ≠ F but we have:
*Cx = Dd
*C+ = Dbb
*E# = Fd
*E+ = Fb
*Ex = F+
*Ed = Fbb
It is not necessary to learn all by heart. Simply that there are 5 degrees in a tone, and 3 degrees in a diatonic semitone. So going from one note name to another name is always an odd difference of degrees. If the change is even, it can be written as sharp and flat.
An exception to using flat and sharp is the rast scale, where there is Ed and Bd, which are defined as such and not derived from other intervals.
==Andrew Heathwaite system==
==Andrew Heathwaite system==


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{| class="wikitable"
{| class="wikitable"
|-
|-
| | degrees of 31edo
| |  
|interval
| | syllable
| | syllable
|-
|-
| | 0
| | 0
|P1
| | do
| | do
|-
|-
| | 1
| | 1
|^1
| | di
| | di
|-
|-
| | 2
| | 2
|vm2
| | ro
| | ro
|-
|-
| | 3
| | 3
|m2
| | ra
| | ra
|-
|-
| | 4
| | 4
|~2
| | ru
| | ru
|-
|-
| | 5
| | 5
|M2
| | re
| | re
|-
|-
| | 6
| | 6
|^M2
| | ri
| | ri
|-
|-
| | 7
| | 7
|vm3
| | ma
| | ma
|-
|-
| | 8
| | 8
|m3
| | me
| | me
|-
|-
| | 9
| | 9
|~3
| | mu
| | mu
|-
|-
| | 10
| | 10
|M3
| | mi
| | mi
|-
|-
| | 11
| | 11
|^M3
| | mo
| | mo
|-
|-
| | 12
| | 12
|v4
| | fe
| | fe
|-
|-
| | 13
| | 13
|P4
| | fa
| | fa
|-
|-
| | 14
| | 14
|^4 / ~4
| | fu
| | fu
|-
|-
| | 15
| | 15
|A4 / vd5
| | fi
| | fi
|-
|-
| | 16
| | 16
|^A4 / d5
| | se
| | se
|-
|-
| | 17
| | 17
|v5 / ~5
| | su
| | su
|-
|-
| | 18
| | 18
|P5
| | so or sol
| | so or sol
|-
|-
| | 19
| | 19
|^5
| | si
| | si
|-
|-
| | 20
| | 20
|vm6
| | lo
| | lo
|-
|-
| | 21
| | 21
|m6
| | le
| | le
|-
|-
| | 22
| | 22
|~6
| | lu
| | lu
|-
|-
| | 23
| | 23
|M6
| | la
| | la
|-
|-
| | 24
| | 24
|^M6
| | li
| | li
|-
|-
| | 25
| | 25
|vm7
| | ta
| | ta
|-
|-
| | 26
| | 26
|m7
| | te
| | te
|-
|-
| | 27
| | 27
|~7
| | tu
| | tu
|-
|-
| | 28
| | 28
|M7
| | ti
| | ti
|-
|-
| | 29
| | 29
|^M7
| | to
| | to
|-
|-
| | 30
| | 30
|v8
| | da
| | da
|-
|-
| | 31
| | 31
|P8
| | do
| | do
|}
|}
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See also: [[17edo Solfege]], [[22edo Solfege]], [[29edo solfege|29edo Solfege]]
See also: [[17edo Solfege]], [[22edo Solfege]], [[29edo solfege|29edo Solfege]]


=Comments=
For intervals that appear in the diatonic scale, the traditional solfege names are grandfathered in. While this makes it easier to learn the new syllables as extensions of the old ones — if you are trained with the old ones to begin with — it also makes for many irregularities.
For intervals that appear in the diatonic scale, the traditional solfege names are grandfathered in. While this makes it easier to learn the new syllables as extensions of the old ones — if you are trained with the old ones to begin with — it also makes for many irregularities.


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'''to''' =&gt; '''se'''
'''to''' =&gt; '''se'''


'''da''' =&gt; '''su'''     [[Category:31edo]]
'''da''' =&gt; '''su'''
==Kite Giedraitis system==
 
[[Kite Giedraitis|Kite's]] system is similar to Andrew's system, but uses a uniform vowel sequence for each degree. It runs [[wikipedia:Front_vowel|front]] to [[wikipedia:Back_vowel|back]] (or bright to dim) -i -e -a -o -u for upmajor-major-mid-minor-downminor.
 
{| class="wikitable"
|-
| |
|interval
| | syllable
|-
| | 0
|P1
| | do
|-
| | 1
|^1
| | da
|-
| | 2
|vm2
| | ru
|-
| | 3
|m2
| | ro
|-
| | 4
|~2
| | ra
|-
| | 5
|M2
| | re
|-
| | 6
|^M2
| | ri
|-
| | 7
|vm3
| | mu
|-
| | 8
|m3
| | mo
|-
| | 9
|~3
| | ma
|-
| | 10
|M3
| | me
|-
| | 11
|^M3
| | mi
|-
| | 12
|v4
| | fu
|-
| | 13
|P4
| | fo
|-
| | 14
|^4 / ~4
| | fa
|-
| | 15
|A4 / vd5
| | fe/su
|-
| | 16
|^A4 / d5
| | fi/so
|-
| | 17
|v5 / ~5
| | sa
|-
| | 18
|P5
| | se
|-
| | 19
|^5
| | si
|-
| | 20
|vm6
| | lu
|-
| | 21
|m6
| | lo
|-
| | 22
|~6
| | la
|-
| | 23
|M6
| | le
|-
| | 24
|^M6
| | li
|-
| | 25
|vm7
| | tu
|-
| | 26
|m7
| | to
|-
| | 27
|~7
| | ta
|-
| | 28
|M7
| | te
|-
| | 29
|^M7
| | ti
|-
| | 30
|v8
| | du
|-
| | 31
|P8
| | do
|}
 
Many scales use only 2 or 3 vowels:
{| class="wikitable"
|+
!major scale
|Do
|Re
|Me
|Fo
|Se
|Le
|Te
|Do
|-
!minor scale
|Do
|Re
|Mo
|Fo
|Se
|Lo
|To
|Do
|-
!downminor scale
|Do
|Re
|Mu
|Fo
|Se
|Lu
|Tu
|Do
|}
[[Category:31edo]]
[[Category:Solfege]]
[[Category:Solfege]]
Retrieved from "https://en.xen.wiki/w/31edo_solfege"