Kite's color notation: Difference between revisions
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Similarly, '''tweno/-nu/-na''' = 29o/29u/29a, '''thiwo/-wu/-wa''' = 31o/31u/31a, etc. The abbreviations are '''twe-''', '''thi-''', '''fo-''', '''fi-''' and '''si-'''. | Similarly, '''tweno/-nu/-na''' = 29o/29u/29a, '''thiwo/-wu/-wa''' = 31o/31u/31a, etc. The abbreviations are '''twe-''', '''thi-''', '''fo-''', '''fi-''' and '''si-'''. | ||
{| class="wikitable" | {| class="wikitable" | ||
!prime | ! rowspan="2" |prime | ||
|5 | |5/4 | ||
|7 | |7/4 | ||
|11 | |11/8 | ||
|13 | |13/8 | ||
|17 | |17/16 | ||
|19 | |19/16 | ||
|23 | |23/16 | ||
| 29 | | 29/16 | ||
|31 | |31/16 | ||
|37 | |37/32 | ||
|41 | |41/32 | ||
|43 | |43/32 | ||
|47 | |47/32 | ||
|53 | |53/32 | ||
|59 | |59/32 | ||
| 61 | | 61/32 | ||
|67 | |67/64 | ||
|- | |- | ||
|y3 | |y3 | ||
|z7 | |z7 | ||
| Line 320: | Line 319: | ||
Unfortunately seventy can't become se- because that already means 17-exponent (see [[#Exponents]] below). Setho means 13<sup>17</sup>-over, so it can't mean 73-over. So starting at 71, one might use the longer form: 71o is seventy-wo, 73o is seventy-tho, etc. 103o is hundred-tho and 113o is one-ten-tho. Or one might use these terms: | Unfortunately seventy can't become se- because that already means 17-exponent (see [[#Exponents]] below). Setho means 13<sup>17</sup>-over, so it can't mean 73-over. So starting at 71, one might use the longer form: 71o is seventy-wo, 73o is seventy-tho, etc. 103o is hundred-tho and 113o is one-ten-tho. Or one might use these terms: | ||
{| class="wikitable" | {| class="wikitable" | ||
!prime | ! rowspan="2" |prime | ||
|71 | |71/64 | ||
|73 | |73/64 | ||
|79 | |79/64 | ||
|83 | |83/64 | ||
|89 | |89/64 | ||
|97 | |97/64 | ||
|101 | |101/64 | ||
| 103 | | 103/64 | ||
|107 | |107/64 | ||
|109 | |109/64 | ||
|113 | |113/64 | ||
|127 | |127/64 | ||
|- | |- | ||
|71o2 | |71o2 | ||
|73o2 | |73o2 | ||
| Line 362: | Line 360: | ||
|sisisa | |sisisa | ||
|} | |} | ||
Note that 23/16 = 628¢ is a 5th, not a 4th. Furthermore 31/16 = 1145¢ is a 7th not an 8ve, and 37/32 = 251¢ is a 3rd not a 2nd. For any prime P, the degree of the ratio P/1 is chosen to minimize negative intervals. It is determined by its 8ve-reduced cents, and how it relates to 12edo: | Note that 23/16 = 628¢ is a 5th, not a 4th. Furthermore, 31/16 = 1145¢ is a 7th not an 8ve, and 37/32 = 251¢ is a 3rd not a 2nd. For any prime P, the degree of the ratio P/1 is chosen to minimize negative intervals. It is determined by its 8ve-reduced cents, and how it relates to 12edo: | ||
{| class="wikitable" | {| class="wikitable" | ||
!unison | !unison | ||