Meantone: Difference between revisions
→Target tunings: Rename section |
→Tuning spectrum: Add clarification about syntonic comma vs other commas; add 3/4 comma, 2/3 comma, and 1/7 apotome; add clarification about non-patent vals when patent vals are not on meantone; clarify 12EDO line; add Kirnberger fifth; add Eigenmonzo 25/24 as sharp 1/12 Immunity comma meantone and 17EDO |
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| Line 118: | Line 118: | ||
| [[27/20]] | | [[27/20]] | ||
| 680.449 | | 680.449 | ||
| Full comma | | Full comma (syntonic comma; from here onwards "comma" without an adjective refers to syntonic comma) | ||
|- | |- | ||
| '''[[7edo|4\7]]''' | | '''[[7edo|4\7]]''' | ||
| | | | ||
| '''685.714''' | | '''685.714''' | ||
| '''Lower bound of 5-odd-limit diamond monotone''' | | '''Lower bound of 5-odd-limit diamond monotone'''; 1/7 [[2187/2048|apotome]] | ||
|- | |||
| | |||
|[[8000/6561]] | |||
|685.825 | |||
|[[3/4 comma]] | |||
|- | |||
| | |||
|[[243/200]] | |||
|687.617 | |||
|[[2/3 comma]] | |||
|- | |- | ||
| | | | ||
| Line 143: | Line 153: | ||
| | | | ||
| 690.909 | | 690.909 | ||
| | |(33c — the patent val is not meantone) | ||
|- | |- | ||
| | | | ||
| Line 158: | Line 168: | ||
| | | | ||
| 691.304 | | 691.304 | ||
| | |(92bcccd — the patent val is not meantone) | ||
|- | |- | ||
| [[59edo|34\59]] | | [[59edo|34\59]] | ||
| | | | ||
| 691.525 | | 691.525 | ||
| | |(59bc — the patent val is not meantone) | ||
|- | |- | ||
| [[26edo|15\26]] | | [[26edo|15\26]] | ||
| Line 518: | Line 528: | ||
| | | | ||
| 698.734 | | 698.734 | ||
| | |(79c — the patent val is not meantone) | ||
|- | |- | ||
| | | | ||
| Line 528: | Line 538: | ||
| | | | ||
| 698.901 | | 698.901 | ||
| | |(91c — the patent val is not meantone) | ||
|- | |- | ||
| | | | ||
| Line 553: | Line 563: | ||
| | | | ||
| '''700.000''' | | '''700.000''' | ||
| '''Upper bound of 7- and 9-odd-limit diamond monotone''', | | '''Upper bound of 7- and 9-odd-limit diamond monotone''', exactly 1/12 Pythagorean comma, virtually 1/11 syntonic comma (the difference is too small to appear in the digits provided here) | ||
|- | |||
| | |||
|[[16384/10935]] | |||
|700.001 | |||
|Full schisma (ptolemaic diminished sixth/Kirnberger fifth) | |||
|- | |- | ||
| | | | ||
| Line 574: | Line 589: | ||
| 702.272 | | 702.272 | ||
| | | | ||
|- | |||
|[[17edo|10\17]] | |||
| | |||
|705.882 | |||
|(17c — the patent val is not meantone) | |||
|- | |||
| | |||
|[[25/24]] | |||
|705.889 | |||
|Sharp 1/12 [[Immunity comma]] | |||
|- | |- | ||
| '''[[5edo|3\5]]''' | | '''[[5edo|3\5]]''' | ||