Kite's uniform solfege: Difference between revisions

The 5 vowels are like those in Spanish or Italian. There are only 5 vowels because those are the most singable, and also additional vowels would make the solfeges harder to learn. Shi is pronounced "she" and She is "shay". Fri is "free".

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==Interval Arithmetic==

To find the [[octave complement]] of any interval:

For example, Fru = minor-Re-up becomes major-Ti-down = To.

The 13 -a notes form a chain of 5ths running from the dim 5th to the aug 4th:

However, consider the aug 4th, a P- note. The note a 5th above it would be an augmented 8ve, which doesn't exist in a uniform solfege. Therefore one must rename the tritone as a dim or mid 5th. Thus in 31edo Pa + 5th = Sho + 5th = Fro. Likewise, Sho and Sha need renaming when adding a 4th: Sha + 4th = Pu + 4th = Tu.

The same rule for 4ths and 5ths mostly holds for plain major 2nds. Keep the vowel, and change the consonant as expected. Ra + M2 = Ma. But an aug 4th must be renamed as a 5th. Beware, this rule breaks down entirely for major and mid 7ths (the T- notes), due to the lack of aug and mid 8ves.

One can often easily add/subtract an unconventional (upped or downed) interval as well. The ups and downs add up and cancel out as expected. Thus Ra + vM2 = Mo and Ru + vM2 = Ma. Obviously the vowel will change. Again, the expected answer must exist in the solfege. 3-vowel solfeges lack double-ups and double-downs. 4-vowel solfeges lack double-upmajor and double-downminor.

{{Main|List of uniform solfeges for EDOs}}

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).

-u/-o can mean not only up/down, but also under/over, meaning in the ratio's denominator or numerator. A [[color notation]] review:

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{{Main|List of uniform solfeges for pergens}}