Kite's uniform solfege: Difference between revisions
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In flat-1 edos, to up an interval means to diminish it. Fo = Pa and Su = Sha. Fro = Ra and Fra = Ru. | In flat-1 edos, to up an interval means to diminish it. Fo = Pa and Su = Sha. Fro = Ra and Fra = Ru. | ||
In sharp-2 and sharp-4 edos, mid is spelled as downmajor, | In sharp-2 and sharp-4 edos, mid is spelled as downmajor, or upperfect for the 4th, or downperfect for the 5th. | ||
In edos with an even [[Sharpness|penta-sharpness]], there are "in-between" notes with two names. For example, 4\19 is named as both a 2nd and a 3rd (Ru/No). | In edos with an even [[Sharpness|penta-sharpness]], there are "in-between" notes with two names. For example, 4\19 is named as both a 2nd and a 3rd (Ru/No). | ||
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==Solfeges for Rank-2 Temperaments== | |||
<big>'''Main article: [[List of Uniform Solfeges For Pergens]]'''</big> | |||
Rank-2 temperaments have an infinite number of notes, so a solfege can only cover a fraction of them. But often one only needs enough notes to make a MOS scale. [[Pergen|Pergens]] tell us how to use ups and downs to notate these temperaments, and the same consonants and vowels can be used. Instead of circles of 5ths, there are '''fifthchains'''. Each fifthchain requires its own vowel, so there is a maximum of 5 fifthchains. However this can be extended to 9 fifthchains by using compound vowels such as -iyu. | |||
'''Genchains''' are distinct from fifthchains. Each pergen has one or more genchains, each of which contains one or more fifthchains. The 13 consonants and 5 vowels without compound vowels cover 20 pergens. Of course, the genchains can only extend so far with only 13 consonants. But in general, it's enough to cover all the modes of any reasonably-sized MOS scale. | |||
This pdf '''[https://Tallkite.com/misc files/notation guide for rank-2 pergens.pdf tallkite.com/misc_files/notation guide for rank-2 pergens.pdf]''' lists many pergens. The tuning of every interval and every accidental is defined in terms of c = P5 - 700¢. The EI (enharmonic interval) can be added to or subtracted from any note or interval to get an equivalent note or interval. The entire solfege can be derived from the pergen, the EI and the vowel sequence. | |||
Sometimes -i and -e mean lift/drop not dup/dud. -i never means mid, so there are only two vowel sequences: | |||
{| class="wikitable" | |||
|+unsplit (no-pair) solfege | |||
!-4 | |||
!-3 | |||
!-2 | |||
!-1 | |||
!0 | |||
!1 | |||
!2 | |||
!3 | |||
!4 | |||
|- | |||
!d<sup>4</sup> | |||
!ddd | |||
!dd | |||
!dim | |||
!plain | |||
!aug | |||
!AA | |||
!AAA | |||
!A<sup>4</sup> | |||
|- | |||
| -eye | |||
"ay-yay" | |||
| -eyo | |||
| -e | |||
| -o | |||
| -a | |||
| -u | |||
| -i | |||
| -iyu | |||
| -iyi | |||
"ee-yee" | |||
|} | |||
{| class="wikitable" | |||
|+single-pair solfeges | |||
!-4 | |||
!-3 | |||
!-2 | |||
!-1 | |||
!0 | |||
!1 | |||
!2 | |||
!3 | |||
!4 | |||
|- | |||
!quud | |||
!trud | |||
!dud | |||
!down | |||
!plain | |||
!up | |||
!dup | |||
!trup | |||
!quup | |||
|- | |||
| -eye | |||
| -eyo | |||
| -e | |||
| -o | |||
| -a | |||
| -u | |||
| -i | |||
| -iyu | |||
| -iyi | |||
|} | |||
{| class="wikitable" | |||
|+double-pair solfeges | |||
| | |||
!down | |||
!plain | |||
!up | |||
|- | |||
!lift | |||
| -owi | |||
| -i | |||
| -uwi | |||
|- | |||
!plain | |||
| -o | |||
| -a | |||
| -u | |||
|- | |||
!drop | |||
| -owe | |||
| -e | |||
| -uwe | |||
|} | |||
Any compound vowel with a "w" is for double-pair only. Mnemonic: w = double-u = double-pair. | |||
[[Category:Solfege]] | [[Category:Solfege]] | ||