Kite's color notation: Difference between revisions

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The double-large wa negative 2nd (LLw-2, the pyth comma) is simply called the wa comma. 3-limit commas such as L<sup>3</sup>w-2 = (-30, 19) can be abbreviated as w-19, the wa-19 comma.

Compound, abbreviated '''co-''' or '''c''', is a conventional term that means widened by an octave. 15/4 is a compound yo 7th = coyo 7th = cy7. 5/1 is a double-compound yo 3rd = cocoyo 3rd = ccy3. More examples [[Gallery of just intervals#Intervals larger than an octave|~~here~~]].

Compound, abbreviated '''co-''' or '''c''', is a conventional term that means widened by an octave. 15/4 is a compound yo 7th = coyo 7th = cy7. 5/1 is a double-compound yo 3rd = cocoyo 3rd = ccy3. More examples in the [[Gallery of just intervals#Intervals larger than an octave|Gallery of just intervals]]. Mnemonic: co- as in co-pilot means auxiliary, thus a 9th is a co-2nd.

== Note Names ==

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'''Twetho''' = 23-over, '''twethu''' = 23-under, '''twentha''' =23-all, abbreviated as '''23o''', '''23u''' and '''23a'''. 2.3.5.7.23 = yaza23a = yazatwetha. 23/16 = 23o5 = twetho 5th, and 23/22 = 23o1u2 = twetholu 2nd. 529/512 = bitwetho 2nd (not twethotho, because that means a ratio that's both 23-over and 13-over).

Similarly, '''tweno/-nu/-na''' = 29o/29u/29a, '''thiwo/-wu/-wa''' = 31o/31u/31a, '''~~thiso/~~-~~su/~~-sa''' ~~= 37o~~/~~37u/37a~~, etc.

Similarly, '''tweno/-nu/-na''' = 29o/29u/29a, '''thiwo/-wu/-wa''' = 31o/31u/31a, etc. The abbreviations are '''twe-, thi-, fo-, fi- and si-'''. Unfortunately seventy can't become se- because that already means 17-exponent (see "Temperament Names" below). Setho means 13<sup>17</sup>-over, so it can't mean 73-over. So starting at 71, the longer form is used: 71o is seventy-wo, 73o is seventy-tho, etc.

{| class="wikitable"

|11

!prime

|11o

|13o

|17o

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|67o

|-

!word

|(i)lo

|tho

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|siso

|}

Unfortunately seventy- can't be abbreviated as se- because that already means 17-exponent. Setho means 13^17, so it can't mean 73-over. So starting at 71, the longer form is used: 71o is seventy-wo, 73o is seventy-tho, etc.

The prefix i- is only used when confusion is possible. Thus 19/15 = nogu 4th, not inogu 4th, and 2.3.5.17.19 is yasana.

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== Glossary / Crash Course ==

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 = prime in the monzo: triyo = yo-cubed = 125-over.

'''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''' = prime in the monzo: triyo = yo-cubed = 125-over.

{| class="wikitable" style="text-align:center"

|+

@@ Line 206: / Line 206: @@
 The double-large wa negative 2nd (LLw-2, the pyth comma) is simply called the wa comma. 3-limit commas such as L<sup>3</sup>w-2 = (-30, 19) can be abbreviated as w-19, the wa-19 comma.
-Compound, abbreviated '''co-''' or '''c''', is a conventional term that means widened by an octave. 15/4 is a compound yo 7th = coyo 7th = cy7. 5/1 is a double-compound yo 3rd = cocoyo 3rd = ccy3. More examples [[Gallery of just intervals#Intervals larger than an octave|here]].
+Compound, abbreviated '''co-''' or '''c''', is a conventional term that means widened by an octave. 15/4 is a compound yo 7th = coyo 7th = cy7. 5/1 is a double-compound yo 3rd = cocoyo 3rd = ccy3. More examples in the [[Gallery of just intervals#Intervals larger than an octave|Gallery of just intervals]]. Mnemonic: co- as in co-pilot means auxiliary, thus a 9th is a co-2nd.
 == Note Names ==
@@ Line 235: / Line 235: @@
 '''Twetho''' = 23-over, '''twethu''' = 23-under, '''twentha''' =23-all, abbreviated as '''23o''', '''23u''' and '''23a'''. 2.3.5.7.23 = yaza23a = yazatwetha. 23/16 = 23o5 = twetho 5th, and 23/22 = 23o1u2 = twetholu 2nd. 529/512 = bitwetho 2nd (not twethotho, because that means a ratio that's both 23-over and 13-over).
-Similarly, '''tweno/-nu/-na''' = 29o/29u/29a, '''thiwo/-wu/-wa''' = 31o/31u/31a, '''thiso/-su/-sa''' = 37o/37u/37a, etc.
+Similarly, '''tweno/-nu/-na''' = 29o/29u/29a, '''thiwo/-wu/-wa''' = 31o/31u/31a, etc. The abbreviations are '''twe-, thi-, fo-, fi- and si-'''. Unfortunately seventy can't become se- because that already means 17-exponent (see "Temperament Names" below). Setho means 13<sup>17</sup>-over, so it can't mean 73-over. So starting at 71, the longer form is used: 71o is seventy-wo, 73o is seventy-tho, etc.
 {| class="wikitable"
-|11
+!prime
+|11o
 |13o
 |17o
@@ Line 253: / Line 254: @@
 |67o
 |-
+!word
 |(i)lo
 |tho
@@ Line 269: / Line 271: @@
 |siso
 |}
-Unfortunately seventy- can't be abbreviated as se- because that already means 17-exponent. Setho means 13^17, so it can't mean 73-over. So starting at 71, the longer form is used: 71o is seventy-wo, 73o is seventy-tho, etc.
 The prefix i- is only used when confusion is possible. Thus 19/15 = nogu 4th, not inogu 4th, and 2.3.5.17.19 is yasana.
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 == Glossary / Crash Course ==
-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 = prime in the monzo: triyo = yo-cubed = 125-over.
+'''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''' = prime in the monzo: triyo = yo-cubed = 125-over.
 {| class="wikitable" style="text-align:center"
 |+