User:TallKite/Solfeges: Difference between revisions
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Sharpening and flattening refers to adding/subtracting the [[2187/2048|lawa unison]] Lw1. In edos 7, 14, 21, 28 and 35, there is no need for the altered consonants, since Lw1 is tempered out. Some other edos (12, ??) also omit them. | Sharpening and flattening refers to adding/subtracting the [[2187/2048|lawa unison]] Lw1. In edos 7, 14, 21, 28 and 35, there is no need for the altered consonants, since Lw1 is tempered out. Some other edos (12, ??) also omit them. | ||
The vowel sequence varies depending on the edo or pergen. There is always -a for pl'''a'''in, and almost always -u for '''u'''p and -o for d'''o'''wn. Larger edos also have either -i for m'''i'''d, or -i for dup (double-up) and -e for dud (double-down). Pergens are similar, | The vowel sequence varies depending on the edo or pergen. There is always -a for pl'''a'''in, and almost always -u for '''u'''p and -o for d'''o'''wn. Larger edos also have either -i for m'''i'''d, or -i for dup (double-up) and -e for dud (double-down). Pergens are similar, see below. | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+ the three vowel sequences | |+ the three vowel sequences | ||
| Line 54: | Line 54: | ||
!5 vowels | !5 vowels | ||
!53, 60 | !53, 60 | ||
| -e = dud | | -e = dud | ||
|<nowiki>-o = down</nowiki> | |<nowiki>-o = down</nowiki> | ||
|<nowiki>-a = plain</nowiki> | |<nowiki>-a = plain</nowiki> | ||
|<nowiki>-u = up</nowiki> | |<nowiki>-u = up</nowiki> | ||
| -i = dup | | -i = dup | ||
|} | |} | ||
These 5 vowels cover all the more popular edos up to 60. Which edos aren't covered? The number of vowels a uniform solfege needs equals the edo's [[sharpness]] or penta-sharpness, whichever is larger. Thus an edo with a (penta)sharpness of 6 or higher needs 6 or more vowels and isn't covered. Every edo above 60 is such an edo. The excluded edos are the less efficient ones, with a fairly inaccurate 5th for their size. Thus they tend to be the less popular edos. | These 5 vowels cover all the more popular edos up to 60. Which edos aren't covered? The number of vowels a uniform solfege needs equals the edo's [[sharpness]] or penta-sharpness, whichever is larger. Thus an edo with a (penta)sharpness of 6 or higher needs 6 or more vowels and isn't covered. Every edo above 60 is such an edo. The excluded edos are the less efficient ones, with a fairly inaccurate 5th for their size. Thus they tend to be the less popular edos. | ||
| Line 9,097: | Line 9,097: | ||
Genchains are distinct from fifthchains. Each pergen has one or more genchains, each of which contains one or more fifthchains. However if the octave is split in halves or quarters, the half-octave requires two names, and the pergen needs an additional vowel. The 13 consonants and 5 vowels cover about 20 pergens. Of course, the genchains can only go so far with only 13 consonants. But in general, it's enough to cover all the modes of any reasonably-sized MOS scale. | Genchains are distinct from fifthchains. Each pergen has one or more genchains, each of which contains one or more fifthchains. However if the octave is split in halves or quarters, the half-octave requires two names, and the pergen needs an additional vowel. The 13 consonants and 5 vowels cover about 20 pergens. Of course, the genchains can only go so far with only 13 consonants. But in general, it's enough to cover all the modes of any reasonably-sized MOS scale. | ||
Sometimes -i and -e mean lift/drop not dup/dud. If so, note that there are no words for uplift, downlift, etc. -i never means mid, so there are only two vowel sequences, not three: | |||
{| class="wikitable center-all" | |||
|+the two vowel sequences | |||
!3 vowels | |||
| | |||
|<nowiki>-o = down</nowiki> | |||
|<nowiki>-a = plain</nowiki> | |||
|<nowiki>-u = up</nowiki> | |||
| | |||
|- | |||
!5 vowels | |||
| -e = dud or drop | |||
|<nowiki>-o = down</nowiki> | |||
|<nowiki>-a = plain</nowiki> | |||
|<nowiki>-u = up</nowiki> | |||
| -i = dup or lift | |||
|}In the MOS scale tables, any note that changes from one mode to the next is '''bolded'''. | |||
The EI (enharmonic interval) can be added to or subtracted from any note or interval to get an equivalent note or interval. | The EI (enharmonic interval) can be added to or subtracted from any note or interval to get an equivalent note or interval. | ||