User:BudjarnLambeth/Table of n-comma meantone generators: Difference between revisions
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!Temperament!!Generator (cents)!!Comments | !Temperament!!Generator (cents)!!Comments | ||
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|1/1-comma “meantone” (actually [[mavila]])||680.449|| | |1/1-comma “meantone” (actually [[mavila]])||680.449||Not meantone but included for reference | ||
|- | |- | ||
|[[3/4-comma meantone]]||685.825|| | |[[3/4-comma meantone]]||685.825||Whole tone is not between 10/9 and 9/8, so whether it counts as meantone is very questionable | ||
|- | |- | ||
|[[11/15-comma meantone]]||686.184|| | |[[11/15-comma meantone]]||686.184||Whole tone not between 10/9 and 9/8 | ||
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|[[8/11-comma meantone]]||686.314|| | |[[8/11-comma meantone]]||686.314||Whole tone not between 10/9 and 9/8 | ||
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|[[5/7-comma meantone]]||686.593|| | |[[5/7-comma meantone]]||686.593||Whole tone not between 10/9 and 9/8 | ||
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|[[7/10-comma meantone]]||686.901|| | |[[7/10-comma meantone]]||686.901||Whole tone not between 10/9 and 9/8 | ||
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|[[9/13-comma meantone]]||687.066|| | |[[9/13-comma meantone]]||687.066||Whole tone not between 10/9 and 9/8 | ||
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|[[11/16-comma meantone]]||687.169|| | |[[11/16-comma meantone]]||687.169||Whole tone not between 10/9 and 9/8 | ||
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|[[2/3-comma meantone]]||687.617|| | |[[2/3-comma meantone]]||687.617||Whole tone not between 10/9 and 9/8 | ||
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|[[9/14-comma meantone]]||688.129|| | |[[9/14-comma meantone]]||688.129||Whole tone not between 10/9 and 9/8 | ||
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|[[7/11-comma meantone]]||688.269|| | |[[7/11-comma meantone]]||688.269||Whole tone not between 10/9 and 9/8 | ||
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|[[5/8-comma meantone]]||688.514|| | |[[5/8-comma meantone]]||688.514||Whole tone not between 10/9 and 9/8 | ||
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|[[8/13-comma meantone]]||688.72|| | |[[8/13-comma meantone]]||688.72||Whole tone not between 10/9 and 9/8 | ||
|- | |- | ||
|[[3/5-comma meantone]]||689.051|| | |[[3/5-comma meantone]]||689.051||Whole tone not between 10/9 and 9/8 | ||
|- | |- | ||
|[[7/12-comma meantone]]||689.41|| | |[[7/12-comma meantone]]||689.41||Whole tone not between 10/9 and 9/8 | ||
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|[[4/7-comma meantone]]||689.666|| | |[[4/7-comma meantone]]||689.666||Whole tone not between 10/9 and 9/8 | ||
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|[[9/16-comma meantone]]||689.858|| | |[[9/16-comma meantone]]||689.858||Whole tone not between 10/9 and 9/8 | ||
|- | |- | ||
|[[5/9-comma meantone]]||690.007|| | |[[5/9-comma meantone]]||690.007||Whole tone not between 10/9 and 9/8 | ||
|- | |- | ||
|[[6/11-comma meantone]]||690.224|| | |[[6/11-comma meantone]]||690.224||Whole tone not between 10/9 and 9/8 | ||
|- | |- | ||
|[[7/13-comma meantone]]||690.375|| | |[[7/13-comma meantone]]||690.375||Whole tone not between 10/9 and 9/8 | ||
|- | |- | ||
|[[8/15-comma meantone]]||690.485|| | |[[8/15-comma meantone]]||690.485||Whole tone not between 10/9 and 9/8 | ||
|- | |- | ||
|[[1/2-comma meantone]]||691.202|| | |[[1/2-comma meantone]]||691.202||Whole tone not between 10/9 and 9/8 (it’s exactly 10/9) | ||
|- | |- | ||
|[[7/15-comma meantone]]||691.919|| | |[[7/15-comma meantone]]||691.919||This is the first tuning on this list which is unambiguously meantone, since the whole tone is between 10/9 and 9/8 | ||
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|[[6/13-comma meantone]]||692.029|| | |[[6/13-comma meantone]]||692.029|| | ||
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|[[1/10-comma meantone]]||699.804|| | |[[1/10-comma meantone]]||699.804|| | ||
|- | |- | ||
|[[1/11-comma meantone]]||700.000||Audibly indistinguishable from [[12edo]] | |[[1/11-comma meantone]]||700.000||Audibly indistinguishable from [[12edo]], does not generate a 19-tone MOS scale, so whether it counts as meantone is very questionable | ||
|- | |- | ||
|[[1/12-comma meantone]]||700.163|| | |[[1/12-comma meantone]]||700.163||No 19-tone MOS | ||
|- | |- | ||
|[[1/13-comma meantone]]||700.301|| | |[[1/13-comma meantone]]||700.301||No 19-tone MOS | ||
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|[[1/14-comma meantone]]||700.419|| | |[[1/14-comma meantone]]||700.419||No 19-tone MOS | ||
|- | |- | ||
|[[1/15-comma meantone]]||700.521|| | |[[1/15-comma meantone]]||700.521||No 19-tone MOS | ||
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|[[1/16-comma meantone]]||700.611|| | |[[1/16-comma meantone]]||700.611||No 19-tone MOS | ||
|- | |- | ||
|0/1-comma | |0/1-comma “meantone” ([[Pythagorean tuning]])||701.955||Not meantone but included for reference. | ||
|} | |} | ||
[[Category:Tables]][[Category:Meantone]] | [[Category:Tables]][[Category:Meantone]] | ||
Revision as of 11:25, 1 March 2024
| Temperament | Generator (cents) | Comments |
|---|---|---|
| 1/1-comma “meantone” (actually mavila) | 680.449 | Not meantone but included for reference |
| 3/4-comma meantone | 685.825 | Whole tone is not between 10/9 and 9/8, so whether it counts as meantone is very questionable |
| 11/15-comma meantone | 686.184 | Whole tone not between 10/9 and 9/8 |
| 8/11-comma meantone | 686.314 | Whole tone not between 10/9 and 9/8 |
| 5/7-comma meantone | 686.593 | Whole tone not between 10/9 and 9/8 |
| 7/10-comma meantone | 686.901 | Whole tone not between 10/9 and 9/8 |
| 9/13-comma meantone | 687.066 | Whole tone not between 10/9 and 9/8 |
| 11/16-comma meantone | 687.169 | Whole tone not between 10/9 and 9/8 |
| 2/3-comma meantone | 687.617 | Whole tone not between 10/9 and 9/8 |
| 9/14-comma meantone | 688.129 | Whole tone not between 10/9 and 9/8 |
| 7/11-comma meantone | 688.269 | Whole tone not between 10/9 and 9/8 |
| 5/8-comma meantone | 688.514 | Whole tone not between 10/9 and 9/8 |
| 8/13-comma meantone | 688.72 | Whole tone not between 10/9 and 9/8 |
| 3/5-comma meantone | 689.051 | Whole tone not between 10/9 and 9/8 |
| 7/12-comma meantone | 689.41 | Whole tone not between 10/9 and 9/8 |
| 4/7-comma meantone | 689.666 | Whole tone not between 10/9 and 9/8 |
| 9/16-comma meantone | 689.858 | Whole tone not between 10/9 and 9/8 |
| 5/9-comma meantone | 690.007 | Whole tone not between 10/9 and 9/8 |
| 6/11-comma meantone | 690.224 | Whole tone not between 10/9 and 9/8 |
| 7/13-comma meantone | 690.375 | Whole tone not between 10/9 and 9/8 |
| 8/15-comma meantone | 690.485 | Whole tone not between 10/9 and 9/8 |
| 1/2-comma meantone | 691.202 | Whole tone not between 10/9 and 9/8 (it’s exactly 10/9) |
| 7/15-comma meantone | 691.919 | This is the first tuning on this list which is unambiguously meantone, since the whole tone is between 10/9 and 9/8 |
| 6/13-comma meantone | 692.029 | |
| 5/11-comma meantone | 692.179 | |
| 4/9-comma meantone | 692.397 | |
| 7/16-comma meantone | 692.546 | |
| 3/7-comma meantone | 692.738 | |
| 5/12-comma meantone | 692.994 | |
| 2/5-comma meantone | 693.352 | |
| 5/13-comma meantone | 693.683 | |
| 3/8-comma meantone | 693.89 | |
| 4/11-comma meantone | 694.134 | |
| 5/14-comma meantone | 694.274 | |
| 1/3-comma meantone | 694.786 | |
| 5/16-comma meantone | 695.234 | |
| 4/13-comma meantone | 695.338 | |
| 3/10-comma meantone | 695.503 | |
| 2/7-comma meantone | 695.81 | |
| 3/11-comma meantone | 696.09 | |
| 4/15-comma meantone | 696.22 | |
| 1/4-comma meantone | 696.578 | |
| 3/13-comma meantone | 696.992 | |
| 2/9-comma meantone | 697.176 | |
| 3/14-comma meantone | 697.346 | |
| 1/5-comma meantone | 697.654 | |
| 3/16-comma meantone | 697.923 | |
| 2/11-comma meantone | 698.045 | |
| 1/6-comma meantone | 698.371 | |
| 2/13-comma meantone | 698.646 | |
| 1/7-comma meantone | 698.883 | |
| 2/15-comma meantone | 699.088 | |
| 1/8-comma meantone | 699.267 | |
| 1/9-comma meantone | 699.565 | |
| 1/10-comma meantone | 699.804 | |
| 1/11-comma meantone | 700.000 | Audibly indistinguishable from 12edo, does not generate a 19-tone MOS scale, so whether it counts as meantone is very questionable |
| 1/12-comma meantone | 700.163 | No 19-tone MOS |
| 1/13-comma meantone | 700.301 | No 19-tone MOS |
| 1/14-comma meantone | 700.419 | No 19-tone MOS |
| 1/15-comma meantone | 700.521 | No 19-tone MOS |
| 1/16-comma meantone | 700.611 | No 19-tone MOS |
| 0/1-comma “meantone” (Pythagorean tuning) | 701.955 | Not meantone but included for reference. |