140edo: Difference between revisions
create in-depth table (mainly manually) |
→Interval table: review table (add intervals of 37 and 43 and remove a few overcomplex ones) |
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== Interval table == | == Interval table == | ||
Due to its inconsistencies in higher limits (as discussed in [[#Higher-limit JI]]), this table focuses primarily on the 29-limit add-41 add-53. It was generated partially algorithmically with [[User:Godtone#My Python 3 code|Godtone's code]]. Many additions to this interpretation from higher limits are possible; specifically, by observing omitted odds early on in the table, it's possible to guess where and why the inconsistencies arise. | Due to its inconsistencies in higher limits (as discussed in [[#Higher-limit JI]]), this table focuses primarily on the 29-limit add-41 add-53, with some more accurate intervals of 37 and 43 included. It was generated partially algorithmically with [[User:Godtone#My Python 3 code|Godtone's code]]. Many additions to this interpretation from higher limits are possible; specifically, by observing omitted odds early on in the table, it's possible to guess where and why the inconsistencies arise. | ||
{| class="wikitable center-all right-2 left-3" | {| class="wikitable center-all right-2 left-3" | ||
| Line 72: | Line 72: | ||
| 11 | | 11 | ||
| 94.29 | | 94.29 | ||
| | | 96/91, 19/18, [[55/52]] | ||
|- | |- | ||
| 12 | | 12 | ||
| Line 92: | Line 92: | ||
| 16 | | 16 | ||
| 137.14 | | 137.14 | ||
| [[27/25]], [[13/12]] | | [[27/25]], 40/37, 53/49, [[13/12]] | ||
|- | |- | ||
| 17 | | 17 | ||
| 145.71 | | 145.71 | ||
| [[38/35]], [[25/23]], [[99/91]], | | [[38/35]], [[25/23]], [[99/91]], 37/34, [[49/45]], [[85/78]] | ||
|- | |- | ||
| 18 | | 18 | ||
| 154.29 | | 154.29 | ||
| [[12/11]], [[35/32]], [[23/21]] | | [[12/11]], [[35/32]], 58/53, [[23/21]] | ||
|- | |- | ||
| 19 | | 19 | ||
| Line 120: | Line 120: | ||
| 23 | | 23 | ||
| 197.14 | | 197.14 | ||
| ''[[19/17]]'', [[28/25]], 102/91, 46/41, [[55/49]] | | ''[[19/17]]'', [[28/25]], 102/91, 46/41, 37/33, [[55/49]] | ||
|- | |- | ||
| 24 | | 24 | ||
| Line 128: | Line 128: | ||
| 25 | | 25 | ||
| 214.29 | | 214.29 | ||
| [[26/23]], 60/53, [[17/15]] | | [[26/23]], 60/53, 43/38, [[17/15]] | ||
|- | |- | ||
| 26 | | 26 | ||
| Line 168: | Line 168: | ||
| 35 | | 35 | ||
| 300.0 | | 300.0 | ||
| [[19/16]], [[25/21]] | | [[19/16]], [[44/37]], [[25/21]] | ||
|- | |- | ||
| 36 | | 36 | ||
| 308.57 | | 308.57 | ||
| 49/41, 55/46 | | 43/36, 49/41, 55/46 | ||
|- | |- | ||
| 37 | | 37 | ||
| Line 204: | Line 204: | ||
| 44 | | 44 | ||
| 377.14 | | 377.14 | ||
| [[36/29]], 41/33, 51/41, [[56/45]], 66/53 | | [[36/29]], 41/33, 46/37, 51/41, [[56/45]], 66/53 | ||
|- | |- | ||
| 45 | | 45 | ||
| Line 212: | Line 212: | ||
| 46 | | 46 | ||
| 394.29 | | 394.29 | ||
| [[64/51]], [[49/39]], [[44/35]], ''[[34/27]]'' | | [[64/51]], 54/43, [[49/39]], [[44/35]], ''[[34/27]]'' | ||
|- | |- | ||
| 47 | | 47 | ||
| Line 288: | Line 288: | ||
| 65 | | 65 | ||
| 557.14 | | 557.14 | ||
| [[40/29]], [[29/21]] | | 51/37, [[40/29]], [[29/21]] | ||
|- | |- | ||
| 66 | | 66 | ||
| Line 296: | Line 296: | ||
| 67 | | 67 | ||
| 574.29 | | 574.29 | ||
| [[32/23]], [[39/28]], 46/33, 53/38 | | [[32/23]], [[39/28]], 46/33, 53/38, 60/53 | ||
|- | |- | ||
| 68 | | 68 | ||
| Line 310: | Line 310: | ||
| [[24/17]], 41/29, [[140/99]], [[99/70]], 58/41 [[17/12]] | | [[24/17]], 41/29, [[140/99]], [[99/70]], 58/41 [[17/12]] | ||
|} | |} | ||
<nowiki>*</nowiki> As a | <nowiki>*</nowiki> As a no-31's no-47's 53-limit temperament. | ||
== Approximation to JI == | == Approximation to JI == | ||