94edo
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author genewardsmith and made on 2010-06-18 03:08:18 UTC.
- The original revision id was 149477179.
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Original Wikitext content:
The 94 equal temperament, often abbreviated 94-tET, 94-EDO, or 94-ET, is the scale derived by dividing the octave into 94 equally-sized steps, where each step represents a frequency ratio of 12.766 cents. It is a remarkable all-around utility temperament, good from low prime limit to very high prime limit situations. It is the first equal temperament to be consistent though the 23-limit, and no other equal temperament is so consistent until 282 and 311 make their appearance. The list of 23-limit commas it tempers out is huge, but it's worth noting that it tempers out 32805/32768 and is thus a schismatic system, that it tempers out 225/224 and 385/384 and so is a marvel system, and that it also tempers out 3125/3087, 4000/3969, 5120/5103 and 540/539. Below are some 23-limit temperaments supported by 94et. It might be noted that 94, a very good tuning for garibaldi temperament, shows us how to extend it to the 23-limit. 46&94 <<8 30 -18 -4 -28 8 -24 2 ... || 68&94 <<20 28 2 -10 24 20 34 52 ... || 53&94 <<1 -8 -14 23 20 -46 -3 -35 ... || 41&94 <<1 -8 -14 23 20 48 -3 -35 ... || 135&94 <<1 -8 -14 23 20 48 -3 59 ... || 130&94 <<6 -48 10 -50 26 6 -18 -22 ... || 58&94 <<6 46 10 44 26 6 -18 -22 ... || 50&94 <<24 -4 40 -12 10 24 22 6 ... || 72&94 <<12 -2 20 -6 52 12 -36 -44 ... || 80&94 <<18 44 30 38 -16 18 40 28 ... || Temperaments for which 94 is a MOS: 311&94 <<3 70 -42 69 -34 50 85 83...|| 422&94 <<8 124 -18 90 -28 102 164 96 ... ||
Original HTML content:
<html><head><title>94edo</title></head><body>The 94 equal temperament, often abbreviated 94-tET, 94-EDO, or 94-ET, is the scale derived by dividing the octave into 94 equally-sized steps, where each step represents a frequency ratio of 12.766 cents. It is a remarkable all-around utility temperament, good from low prime limit to very high prime limit situations. It is the first equal temperament to be consistent though the 23-limit, and no other equal temperament is so consistent until 282 and 311 make their appearance. <br /> <br /> The list of 23-limit commas it tempers out is huge, but it's worth noting that it tempers out 32805/32768 and is thus a schismatic system, that it tempers out 225/224 and 385/384 and so is a marvel system, and that it also tempers out 3125/3087, 4000/3969, 5120/5103 and 540/539.<br /> <br /> Below are some 23-limit temperaments supported by 94et. It might be noted that 94, a very good tuning for garibaldi temperament, shows us how to extend it to the 23-limit.<br /> <br /> 46&94 <<8 30 -18 -4 -28 8 -24 2 ... ||<br /> 68&94 <<20 28 2 -10 24 20 34 52 ... ||<br /> 53&94 <<1 -8 -14 23 20 -46 -3 -35 ... ||<br /> 41&94 <<1 -8 -14 23 20 48 -3 -35 ... ||<br /> 135&94 <<1 -8 -14 23 20 48 -3 59 ... ||<br /> 130&94 <<6 -48 10 -50 26 6 -18 -22 ... ||<br /> 58&94 <<6 46 10 44 26 6 -18 -22 ... ||<br /> 50&94 <<24 -4 40 -12 10 24 22 6 ... ||<br /> 72&94 <<12 -2 20 -6 52 12 -36 -44 ... ||<br /> 80&94 <<18 44 30 38 -16 18 40 28 ... ||<br /> <br /> Temperaments for which 94 is a MOS:<br /> <br /> 311&94 <<3 70 -42 69 -34 50 85 83...||<br /> 422&94 <<8 124 -18 90 -28 102 164 96 ... ||</body></html>