77edo: Difference between revisions
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The [[17/1|17]] and [[19/1|19]] are tuned fairly well, making it [[consistent]] to the no-11 [[21-odd-limit]]. The equal temperament tempers out [[256/255]] in the 17-limit; and [[171/170]], [[361/360]], [[513/512]], and [[1216/1215]] in the 19-limit. | The [[17/1|17]] and [[19/1|19]] are tuned fairly well, making it [[consistent]] to the no-11 [[21-odd-limit]]. The equal temperament tempers out [[256/255]] in the 17-limit; and [[171/170]], [[361/360]], [[513/512]], and [[1216/1215]] in the 19-limit. | ||
77edo is an excellent edo for [[Carlos Alpha]], since the difference between 5 steps of 77edo and 1 step of Carlos Alpha is only | 77edo is an excellent edo for [[Carlos Alpha]], since the difference between 5 steps of 77edo and 1 step of Carlos Alpha is only −0.042912 cents. | ||
=== Prime harmonics === | === Prime harmonics === | ||
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| … | | … | ||
|} | |} | ||
<nowiki>* | <nowiki />* As a 19-limit temperament | ||
== Regular temperament properties == | == Regular temperament properties == | ||
{ | {{comma basis begin}} | ||
|- | |- | ||
| 2.3 | | 2.3 | ||
| Line 204: | Line 196: | ||
| 32805/32768, 1594323/1562500 | | 32805/32768, 1594323/1562500 | ||
| {{mapping| 77 122 179 }} | | {{mapping| 77 122 179 }} | ||
| | | −0.336 | ||
| 0.785 | | 0.785 | ||
| 5.04 | | 5.04 | ||
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| 126/125, 1029/1024, 10976/10935 | | 126/125, 1029/1024, 10976/10935 | ||
| {{mapping| 77 122 179 216 }} | | {{mapping| 77 122 179 216 }} | ||
| | | −0.021 | ||
| 0.872 | | 0.872 | ||
| 5.59 | | 5.59 | ||
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| 0.974 | | 0.974 | ||
| 6.25 | | 6.25 | ||
{{comma basis end}} | |||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
{ | {{rank-2 begin}} | ||
|- | |- | ||
| 1 | | 1 | ||
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| 4/3<br>(36/35) | | 4/3<br>(36/35) | ||
| [[Hendecatonic]] | | [[Hendecatonic]] | ||
{{rank-2 end}} | |||
{{orf}} | |||
== Music == | == Music == | ||