111edo: Difference between revisions
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== Regular temperament properties == | == Regular temperament properties == | ||
{ | {{comma basis begin}} | ||
|- | |- | ||
| 2.3 | | 2.3 | ||
| {{monzo| 176 -111 }} | | {{monzo| 176 -111 }} | ||
| {{mapping| 111 176 }} | | {{mapping| 111 176 }} | ||
| | | −0.236 | ||
| 0.236 | | 0.236 | ||
| 2.18 | | 2.18 | ||
| Line 41: | Line 33: | ||
| 78732/78125, 67108864/66430125 | | 78732/78125, 67108864/66430125 | ||
| {{mapping| 111 176 258 }} | | {{mapping| 111 176 258 }} | ||
| | | −0.570 | ||
| 0.510 | | 0.510 | ||
| 4.72 | | 4.72 | ||
| Line 48: | Line 40: | ||
| 1728/1715, 3136/3125, 5120/5103 | | 1728/1715, 3136/3125, 5120/5103 | ||
| {{mapping| 111 176 258 312 }} | | {{mapping| 111 176 258 312 }} | ||
| | | −0.797 | ||
| 0.591 | | 0.591 | ||
| 5.47 | | 5.47 | ||
| Line 55: | Line 47: | ||
| 176/175, 540/539, 1331/1323, 5120/5103 | | 176/175, 540/539, 1331/1323, 5120/5103 | ||
| {{mapping| 111 176 258 312 384 }} | | {{mapping| 111 176 258 312 384 }} | ||
| | | −0.639 | ||
| 0.615 | | 0.615 | ||
| 5.69 | | 5.69 | ||
| Line 62: | Line 54: | ||
| 176/175, 351/350, 540/539, 676/675, 1331/1323 | | 176/175, 351/350, 540/539, 676/675, 1331/1323 | ||
| {{mapping| 111 176 258 312 384 411 }} | | {{mapping| 111 176 258 312 384 411 }} | ||
| | | −0.655 | ||
| 0.562 | | 0.562 | ||
| 5.21 | | 5.21 | ||
| Line 69: | Line 61: | ||
| 176/175, 256/255, 351/350, 442/441, 540/539, 715/714 | | 176/175, 256/255, 351/350, 442/441, 540/539, 715/714 | ||
| {{mapping| 111 176 258 312 384 411 454 }} | | {{mapping| 111 176 258 312 384 411 454 }} | ||
| | | −0.672 | ||
| 0.523 | | 0.523 | ||
| 4.84 | | 4.84 | ||
| Line 76: | Line 68: | ||
| 176/175, 256/255, 286/285, 324/323, 351/350, 400/399, 476/475 | | 176/175, 256/255, 286/285, 324/323, 351/350, 400/399, 476/475 | ||
| {{mapping| 111 176 258 312 384 411 454 472 }} | | {{mapping| 111 176 258 312 384 411 454 472 }} | ||
| | | −0.740 | ||
| 0.521 | | 0.521 | ||
| 4.83 | | 4.83 | ||
{{comma basis end}} | |||
* 111et has lower absolute errors than any previous equal temperaments in the 13-, 17-, 19-, and 23-limit, beating [[94edo|94]] and [[103edo|103h]] before being superseded by [[121edo|121i]]. | * 111et has lower absolute errors than any previous equal temperaments in the 13-, 17-, 19-, and 23-limit, beating [[94edo|94]] and [[103edo|103h]] before being superseded by [[121edo|121i]]. | ||
| Line 85: | Line 77: | ||
Note: 2.5.7.11.13 subgroup temperaments supported by 37edo are not listed. | Note: 2.5.7.11.13 subgroup temperaments supported by 37edo are not listed. | ||
{ | {{rank-2 begin}} | ||
|- | |- | ||
| 1 | | 1 | ||
| Line 212: | Line 198: | ||
| 4/3<br>(18/17~19/18) | | 4/3<br>(18/17~19/18) | ||
| [[Misty]] | | [[Misty]] | ||
{{rank-2 end}} | |||
{{orf}} | |||
== Scales == | == Scales == | ||
| Line 221: | Line 207: | ||
== Music == | == Music == | ||
; [[Gene Ward Smith]] | ; [[Gene Ward Smith]] | ||
* ''Trio for SoftSaturn, NebulaSing and TromBonehead'' (archived 2010) | * ''Trio for SoftSaturn, NebulaSing and TromBonehead'' (archived 2010) – [https://soundcloud.com/genewardsmith/trio-gorts SoundCloud] | [https://www.archive.org/details/TrioForSoftsaturnNebulasingAndTrombonehead_297 details] | [https://www.archive.org/download/TrioForSoftsaturnNebulasingAndTrombonehead_297/trio-gorts.mp3 play] – guanyin[22] in 111edo tuning | ||
[[Category:Buzzard]] | [[Category:Buzzard]] | ||
[[Category:Guanyin]] | |||
[[Category:Listen]] | |||
[[Category:Orwellismic]] | |||
[[Category:Semisept]] | [[Category:Semisept]] | ||
[[Category:Valinorsmic]] | [[Category:Valinorsmic]] | ||