Kite's color notation: Difference between revisions

The general term for large/small/central is '''magnitude'''. Only intervals have a magnitude, notes never do, and L and s never appear on the staff. A ratio's magnitude is the sum of all the [[monzo]] exponents except the first one, divided by 7, and rounded off. {{nowrap|0 {{=}} central|1 {{=}} large|2 {{=}} double large}}, etc. {{nowrap|81/64 {{=}} {{vector| -6 4 }}}}, and 4/7 rounds to 1, so 81/64 is a lawa 3rd = Lw3. Similarly, {{nowrap|135/128 {{=}} {{vector| -7 3 1 }}}} is a layo unison = Ly1. Unfortunately, magnitudes do not add up predictably like colors and degrees: {{nowrap|w2 + w2 {{=}} Lw3}}.

Colors using only one prime above 3 are called '''primary''' colors. Thus gu and yoyo are primary and ruyo is non-primary.

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This makes the "pseudo-edomapping" <7 11 16 20 24 26 29 30 32 34 37...]. An alternative method would use the actual 7edo [[edomapping]], but that requires using every other 14edostep as boundaries, harder to remember and much less convenient than the 24edo boundaries used here. Since negative intervals will arise no matter what, convenience is prioritized. For the first 26 primes, the 24edo-based degrees correspond to [[Val#Shorthand_notation | 7klmrs-edo]].

* Put a hyphen before and after "seventy", "eighty", etc.

The hyphen is generally omitted if it would create a subunit of 1 syllable. Thus despite the 2nd rule, layo, lalagu and sagugu are all unhyphenated. And despite the 3rd rule, coyo, cozogu and cocowa are unhyphenated. However, the last rule always holds, e.g. 284/243 =  2² * 3^-5 * 71 is a sa-seventy-wo 3rd.

Often a ratio can be converted by breaking it down into simpler ratios with familiar color names, then adding. For example, 45/32 is 5/4 times 9/8, which is y3 plus w2. The colors and degrees are summed, making y4. But is it y4 or Ly4? The magnitude is <u>not</u> summed, and must be found either visually from the lattices above, or from the monzo directly. 45/32 =  {{vector|-5 2 1}}, and (2+1)/7 rounds to 0, so it's central, and 45/32 = y4.     

Chords can be classified as '''bicolored''' (e.g. g7 or r6), '''tricolored''' (e.g. z7(zg5) or z,y6), '''quadricolored''' (e.g. s6(zg5) or h7,zg9), etc.

A conventional chord name like IIm7 names the chord root relative to the tonic and the chord notes relative to the chord root. The "m7" is shorthand for (P1, m3, P5, m7). Adding each of these intervals to the M2 root gives us the four notes of the chord: M2, P4, M6 and P8. In the key of E, it would be F#m7 = F# + (P1, m3, P5, m7) = F#, A, C# and E.

Analogous to the relative and parallel major or minor, one can modulate to relative gu, parallel ru, etc. Modulating from a yo key to the relative gu means using gu chords on yo roots. Modulating from yo to the parallel gu means using gu chords on <u>wa</u> roots. Going from yo zo to the relative gu means using chords with gu and/or ru in them on yo roots. Going to the relative ru means using the same chords on zo roots. Going from yo zo to the parallel gu ru means using the same chords on wa roots. One can also modulate '''fourthward''' or '''fifthward''', abbreviated '''4thwd''' or '''5thwd'''. Modulating in either direction is modulating '''waward'''. Modulating from a yo key to the relative gu, and perhaps from there to the parallel yo is modulating '''yoward'''. A root movement by a yo interval (e.g. Iy - yVIg) is a yoward move. Likewise, there's '''guward''', and '''y<u>a</u>ward''' includes both. Likewise, there's '''zoward''', '''ruward''', '''zaward''', '''iloward''', etc.   

{{Main | Color notation/Temperament names}}

[[Tour of Regular Temperaments | Rank-2 temperaments]] can be notated with ups and downs as well. Plain and mid are also used in this context. Certain temperaments require an additional pair of virtual colors, '''lifts''' and '''drops''' (/ and \). Notes are named lift C = /C, downdrop F sharp = v\F#, etc. Intervals are named drop 4th = \4, uplift major 3rd = ^/M3, etc. Plain means neither up nor down nor lifted nor dropped. There may be upmid or liftmid intervals. Chords are named C-up add lift-seven = C^,/7 = C ^E G /Bb, C uplift-seven = C^/7 = C ^/E G ^/Bb, etc. See [[Pergen | pergens]].  

'''Over''' = prime in the numerator. '''Under''' = prime in the denominator. '''All''' = over, under or neither: wa = 3-limit, ya = 2.3.5, yaza = 2.3.5.7. '''Exponent''' = repeated syllable: triyo = yoyoyo = 125-over.  

   

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! prime

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| 2

| (clear)

| —

| double

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| 3

| wa (white)

| —

| triple

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Exponents: sextuple is tribi (triply-doubled), octuple is quadbi, 9-fold is tritri, etc.  

{| class="wikitable"

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! Meaning

! Example

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| colspan="2" |inflection

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| colspan="2" |alteration

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| plain