34edo: Difference between revisions
Dave Keenan (talk | contribs) added Sagittal notation |
m →Regular temperament properties: cleanup |
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Line 488: | Line 488: | ||
| 2048/2025, 15625/15552 | | 2048/2025, 15625/15552 | ||
| {{mapping| 34 54 79 }} | | {{mapping| 34 54 79 }} | ||
| | | −1.10 | ||
| 1.03 | | 1.03 | ||
| 2.92 | | 2.92 | ||
Line 495: | Line 495: | ||
| 50/49, 64/63, 4375/4374 | | 50/49, 64/63, 4375/4374 | ||
| {{mapping| 34 54 79 96 }} (34d) | | {{mapping| 34 54 79 96 }} (34d) | ||
| | | −2.56 | ||
| 2.66 | | 2.66 | ||
| 7.57 | | 7.57 | ||
Line 502: | Line 502: | ||
| 50/49, 64/63, 99/98, 243/242 | | 50/49, 64/63, 99/98, 243/242 | ||
| {{mapping| 34 54 79 96 118 }} (34d) | | {{mapping| 34 54 79 96 118 }} (34d) | ||
| | | −2.82 | ||
| 2.44 | | 2.44 | ||
| 6.93 | | 6.93 | ||
Line 509: | Line 509: | ||
| 50/49, 64/63, 78/77, 99/98, 144/143 | | 50/49, 64/63, 78/77, 99/98, 144/143 | ||
| {{mapping| 34 54 79 96 118 126 }} (34d) | | {{mapping| 34 54 79 96 118 126 }} (34d) | ||
| | | −2.64 | ||
| 2.26 | | 2.26 | ||
| 6.42 | | 6.42 | ||
Line 516: | Line 516: | ||
| 50/49, 64/63, 78/77, 85/84, 99/98, 144/143 | | 50/49, 64/63, 78/77, 85/84, 99/98, 144/143 | ||
| {{mapping| 34 54 79 96 118 126 139 }} (34d) | | {{mapping| 34 54 79 96 118 126 139 }} (34d) | ||
| | | −2.30 | ||
| 2.26 | | 2.26 | ||
| 6.41 | | 6.41 | ||
Line 544: | Line 544: | ||
| 3\34 | | 3\34 | ||
| 105.88 | | 105.88 | ||
| [[11L 1s]]<br | | [[11L 1s]]<br> [[11L 12s]] | ||
| | | | ||
|- | |- | ||
| 5\34 | | 5\34 | ||
| 176.471 | | 176.471 | ||
| [[6L 1s]]<br | | [[6L 1s]]<br> [[7L 6s]] <br> [[7L 13s]] <br> 7L 20s | ||
| [[Tetracot]], [[bunya]] (34d), [[modus]] (34d), [[monkey]] (34), [[wollemia]] (34) | | [[Tetracot]], [[bunya]] (34d), [[modus]] (34d), [[monkey]] (34), [[wollemia]] (34) | ||
|- | |- | ||
| 7\34 | | 7\34 | ||
| 247.059 | | 247.059 | ||
| [[5L 4s]] <br | | [[5L 4s]] <br> [[5L 9s]] <br> [[5L 14s]] <br> [[5L 19s]] <br>Pathological 5L 24s | ||
| [[Immunity]] (34), [[immunized]] (34d) | | [[Immunity]] (34), [[immunized]] (34d) | ||
|- | |- | ||
| 9\34 | | 9\34 | ||
| 317.647 | | 317.647 | ||
| [[4L 3s]]<br | | [[4L 3s]]<br> [[4L 7s]]<br> [[4L 11s]]<br> [[15L 4s]] | ||
| [[Hanson]], [[keemun]] (34), [[catalan]] (34d), [[catakleismic]] (34d) | | [[Hanson]], [[keemun]] (34), [[catalan]] (34d), [[catakleismic]] (34d) | ||
|- | |- | ||
| 11\34 | | 11\34 | ||
| 388.235 | | 388.235 | ||
| [[3L 7s]]<br | | [[3L 7s]]<br> [[3L 10s]]<br> [[3L 13s]]<br> [[3L 16s]]<br> [[3L 19s]] <br>[[3L 22s]]<br> Pathological [[3L 25s]] <br> Pathological 3L 28s | ||
| [[Würschmidt]] (34d), [[worschmidt]] (34) | | [[Würschmidt]] (34d), [[worschmidt]] (34) | ||
|- | |- | ||
| 13\34 | | 13\34 | ||
| 458.824 | | 458.824 | ||
| [[3L 2s]]<br | | [[3L 2s]]<br> [[5L 3s]]<br> [[8L 5s]]<br> [[13L 8s]] | ||
| [[Petrtri]] | | [[Petrtri]] | ||
|- | |- | ||
| 15\34 | | 15\34 | ||
| 529.412 | | 529.412 | ||
| [[2L 3s]]<br | | [[2L 3s]]<br> [[2L 5s]]<br> [[7L 2s]]<br> [[9L 7s]] <br> 9L 16s | ||
| [[Mabila]] | | [[Mabila]] | ||
|- | |- | ||
Line 585: | Line 585: | ||
| 3\34 | | 3\34 | ||
| 105.882 | | 105.882 | ||
| [[2L 6s]]<br | | [[2L 6s]]<br>[[2L 8s]]<br> [[10L 2s]]<br> [[12L 10s]] | ||
| [[Srutal]] (34d), [[pajara]] (34d), [[diaschismic]] (34) | | [[Srutal]] (34d), [[pajara]] (34d), [[diaschismic]] (34) | ||
|- | |- | ||
| 4\34 | | 4\34 | ||
| 141.176 | | 141.176 | ||
| [[2L 6s]]<br | | [[2L 6s]]<br> [[8L 2s]]<br> [[8L 10s]] <br> 8L 16s | ||
| [[Fifive]], [[crepuscular]] (34d), [[fifives]] (34) | | [[Fifive]], [[crepuscular]] (34d), [[fifives]] (34) | ||
|- | |- | ||
| 5\34 | | 5\34 | ||
| 176.471 | | 176.471 | ||
| [[6L 2s]]<br | | [[6L 2s]]<br> [[6L 8s]]<br> [[14L 6s]] | ||
| [[Stratosphere]] | | [[Stratosphere]] | ||
|- | |- | ||
| 6\34 | | 6\34 | ||
| 211.765 | | 211.765 | ||
| [[4L 2s]] <br | | [[4L 2s]] <br> [[6L 4s]] <br> [[6L 10s]] <br> [[6L 16s]] <br> Pathological 6L 22s | ||
| [[Antikythera]] | | [[Antikythera]] | ||
|- | |- | ||
| 7\34 | | 7\34 | ||
| 247.059 | | 247.059 | ||
| [[4L 2s]] <br | | [[4L 2s]] <br> [[4L 6s]] <br> [[10L 4s]] <br> [[10L 14s]] | ||
| [[ | | [[Tobago]] | ||
|- | |- | ||
| 8\34 | | 8\34 | ||
| 282.353 | | 282.353 | ||
| [[2L 2s]] <br | | [[2L 2s]] <br> [[4L 2s]] <br> [[4L 6s]] <br> [[4L 10s]] <br> [[4L 14s]] <br> 4L 18s <br> 4L 22s <br> Pathological 4L 26s | ||
| [[Bikleismic]] | | [[Bikleismic]] | ||
|} | |} | ||
=== Commas === | === Commas === | ||
34et [[tempering out|tempers out]] the following [[comma]]s. This assumes the [[patent val]] {{val| 34 54 79 95 118 126 }}. | |||
{| class="commatable wikitable center-all left-3 right-4 left-6" | {| class="commatable wikitable center-all left-3 right-4 left-6" |