Meantone family: Difference between revisions

Data box for meanmag and undevigintone
m Spacing
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<div style="line-height:1.6;">Interval table (7-note MOS, 2.3.5.7 POTE tuning)</div>
<div style="line-height:1.6;">Interval table (7-note MOS, 2.3.5.7 POTE tuning)</div>
<div class="mw-collapsible-content">
<div class="mw-collapsible-content">
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<references/></div></div>
<references/></div></div>
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
<div style="line-height:1.6;">Technical data</div>
<div style="line-height:1.6;">Technical data</div>
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[[Tuning ranges]]:  
[[Tuning ranges]]:  
* valid range: [685.714, 720.000] (7 to 5)
* valid range: [685.714, 720.000] (7 to 5)
* nice range: [694.786, 701.955] (1/3 comma to Pythagorean)
* nice range: [694.786, 701.955] (1/3 comma to Pythagorean)
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[[Badness]]: 0.00736
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</div></div>
</div></div>


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<div style="line-height:1.6;">Interval table (12-note MOS, 2.3.5.7 POTE tuning)</div>
<div style="line-height:1.6;">Interval table (12-note MOS, 2.3.5.7 POTE tuning)</div>
<div class="mw-collapsible-content">
<div class="mw-collapsible-content">
{| class="wikitable right-1 right-2 sortable"
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<references/></div></div>
<references/></div></div>
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
<div style="line-height:1.6;">Technical data</div>
<div style="line-height:1.6;">Technical data</div>
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<div style="line-height:1.6;">Technical data</div>
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">
<div class="mw-collapsible-content">
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<div class="mw-collapsible-content">
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<div style="line-height:1.6;">Interval table (12-note MOS, 2.3.5.7 POTE tuning)</div>
<div style="line-height:1.6;">Interval table (12-note MOS, 2.3.5.7 POTE tuning)</div>
<div class="mw-collapsible-content">
<div class="mw-collapsible-content">
{| class="wikitable right-1 right-2 sortable"
{| class="wikitable right-1 right-2 sortable"
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<references/></div></div>
<references/></div></div>
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
<div style="line-height:1.6;">Technical data</div>
<div style="line-height:1.6;">Technical data</div>
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[[Minimax tuning]]:  
[[Minimax tuning]]:  
* [[7-odd-limit]]
* [[7-odd-limit]]
: [{{Monzo| 1 0 0 0 }}, {{Monzo| 21/13 0 1/13 -1/13 }}, {{Monzo| 32/13 0 4/13 -4/13 }}, {{Monzo| 32/13 0 -9/13 9/13 }}]
: [{{Monzo| 1 0 0 0 }}, {{Monzo| 21/13 0 1/13 -1/13 }}, {{Monzo| 32/13 0 4/13 -4/13 }}, {{Monzo| 32/13 0 -9/13 9/13 }}]
: [[Eigenmonzo]]s: 2, 7/5
: [[Eigenmonzo]]s: 2, 7/5
* [[9-odd-limit]]
* [[9-odd-limit]]
: [{{Monzo| 1 0 0 0 }}, {{Monzo| 17/11 2/11 0 -1/11 }}, {{Monzo| 24/11 8/11 0 -4/11 }}, {{Monzo| 34/11 -18/11 0 9/11 }}]
: [{{Monzo| 1 0 0 0 }}, {{Monzo| 17/11 2/11 0 -1/11 }}, {{Monzo| 24/11 8/11 0 -4/11 }}, {{Monzo| 34/11 -18/11 0 9/11 }}]
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<div class="mw-collapsible-content">
<div class="mw-collapsible-content">
Comma list: 36/35, 45/44, 64/63
Comma list: 36/35, 45/44, 64/63


Line 1,380: Line 1,464:


Badness: 0.0220
Badness: 0.0220
</div></div>
</div></div>


Line 1,395: Line 1,480:
<div style="line-height:1.6;">Technical data</div>
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">
<div class="mw-collapsible-content">
Comma list: 36/35, 45/44, 52/49, 64/63
Comma list: 36/35, 45/44, 52/49, 64/63


Line 1,404: Line 1,490:


Badness: 0.0270
Badness: 0.0270
</div></div>
</div></div>


Line 1,419: Line 1,506:
<div style="line-height:1.6;">Technical data</div>
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">
<div class="mw-collapsible-content">
Comma list: 36/35, 45/44, 51/49, 52/49, 64/63
Comma list: 36/35, 45/44, 51/49, 52/49, 64/63


Line 1,428: Line 1,516:


Badness: 0.0245
Badness: 0.0245
</div></div>
</div></div>


Line 1,443: Line 1,532:
<div style="line-height:1.6;">Technical data</div>
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">
<div class="mw-collapsible-content">
Comma list: 36/35, 39/38, 45/44, 51/49, 52/49, 57/56
Comma list: 36/35, 39/38, 45/44, 51/49, 52/49, 57/56


Line 1,452: Line 1,542:


Badness: 0.0204
Badness: 0.0204
</div></div>
</div></div>


Line 1,467: Line 1,558:
<div style="line-height:1.6;">Technical data</div>
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">
<div class="mw-collapsible-content">
Comma list: 27/26, 36/35, 45/44, 64/63
Comma list: 27/26, 36/35, 45/44, 64/63


Line 1,474: Line 1,566:


{{Vals|legend=1| 5e, 7, 12f, 19df }}
{{Vals|legend=1| 5e, 7, 12f, 19df }}
</div></div>
</div></div>


Line 1,489: Line 1,582:
<div style="line-height:1.6;">Technical data</div>
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">
<div class="mw-collapsible-content">
Comma list: 36/35, 64/63, 77/75
Comma list: 36/35, 64/63, 77/75


Line 1,498: Line 1,592:


Badness: 0.0366
Badness: 0.0366
</div></div>
</div></div>


Line 1,513: Line 1,608:
<div style="line-height:1.6;">Technical data</div>
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">
<div class="mw-collapsible-content">
Comma list: 26/25, 36/35, 64/63, 66/65
Comma list: 26/25, 36/35, 64/63, 66/65


Line 1,522: Line 1,618:


Badness: 0.0274
Badness: 0.0274
</div></div>
</div></div>


Line 1,537: Line 1,634:
<div style="line-height:1.6;">Technical data</div>
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">
<div class="mw-collapsible-content">
Comma list: 22/21, 33/32, 36/35
Comma list: 22/21, 33/32, 36/35


Line 1,546: Line 1,644:


Badness: 0.0261
Badness: 0.0261
</div></div>
</div></div>


Line 1,571: Line 1,670:


Badness: 0.0233
Badness: 0.0233
</div></div>
</div></div>


Line 1,586: Line 1,686:
<div style="line-height:1.6;">Technical data</div>
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">
<div class="mw-collapsible-content">
Commas: 22/21, 27/26, 33/32, 36/35, 51/49
Commas: 22/21, 27/26, 33/32, 36/35, 51/49


Line 1,595: Line 1,696:


Badness: 0.0245
Badness: 0.0245
</div></div>
</div></div>


Line 1,610: Line 1,712:
<div style="line-height:1.6;">Technical data</div>
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">
<div class="mw-collapsible-content">
Commas: 22/21, 27/26, 33/32, 36/35, 51/49, 57/56
Commas: 22/21, 27/26, 33/32, 36/35, 51/49, 57/56


Line 1,619: Line 1,722:


Badness: 0.0211
Badness: 0.0211
</div></div>
</div></div>


Line 1,636: Line 1,740:
<div style="line-height:1.6;">Technical data</div>
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">
<div class="mw-collapsible-content">
[[Comma]] list: 21/20, 28/27
[[Comma]] list: 21/20, 28/27


Line 1,647: Line 1,752:


[[Badness]]: 0.0248
[[Badness]]: 0.0248
</div></div>
</div></div>


Line 1,662: Line 1,768:
<div style="line-height:1.6;">Technical data</div>
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">
<div class="mw-collapsible-content">
Comma list: 21/20, 28/27, 33/32
Comma list: 21/20, 28/27, 33/32


Line 1,669: Line 1,776:


Badness: 0.0252
Badness: 0.0252
</div></div>
</div></div>


Line 1,684: Line 1,792:
<div style="line-height:1.6;">Technical data</div>
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">
<div class="mw-collapsible-content">
Comma list: 15/14, 81/80
Comma list: 15/14, 81/80


Line 1,695: Line 1,804:


Badness: 0.0453
Badness: 0.0453
</div></div>
</div></div>


Line 1,710: Line 1,820:
<div style="line-height:1.6;">Technical data</div>
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">
<div class="mw-collapsible-content">
Comma list: 15/14, 22/21, 81/80
Comma list: 15/14, 22/21, 81/80


Line 1,719: Line 1,830:


Badness: 0.0325
Badness: 0.0325
</div></div>
</div></div>


Line 1,734: Line 1,846:
<div style="line-height:1.6;">Technical data</div>
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">
<div class="mw-collapsible-content">
Comma list: 81/80, 672/625
Comma list: 81/80, 672/625


Line 1,741: Line 1,854:


Badness: 0.1342
Badness: 0.1342
</div></div>
</div></div>


Line 1,756: Line 1,870:
<div style="line-height:1.6;">Technical data</div>
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">
<div class="mw-collapsible-content">
Comma list: 56/55, 81/80, 132/125
Comma list: 56/55, 81/80, 132/125


Line 1,763: Line 1,878:


Badness: 0.0633
Badness: 0.0633
</div></div>
</div></div>


Line 1,778: Line 1,894:
<div style="line-height:1.6;">Technical data</div>
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">
<div class="mw-collapsible-content">
Comma list: 26/25, 56/55, 66/65, 81/80
Comma list: 26/25, 56/55, 66/65, 81/80


Line 1,783: Line 1,900:


{{Vals|legend=1| 5de, 12de, 17c, 29c }}
{{Vals|legend=1| 5de, 12de, 17c, 29c }}
</div></div>
</div></div>


Line 1,802: Line 1,920:
<div style="line-height:1.6;">Technical data</div>
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">
<div class="mw-collapsible-content">
[[Comma]] list: 50/49, 81/80
[[Comma]] list: 50/49, 81/80


Line 1,818: Line 1,937:


[[Badness]]: 0.0311
[[Badness]]: 0.0311
</div></div>
</div></div>


Line 1,836: Line 1,956:
<div style="line-height:1.6;">Technical data</div>
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">
<div class="mw-collapsible-content">
Comma list: 45/44, 50/49, 81/80
Comma list: 45/44, 50/49, 81/80


Line 1,850: Line 1,971:


Badness: 0.0231
Badness: 0.0231
</div></div>
</div></div>


Line 1,865: Line 1,987:
<div style="line-height:1.6;">Technical data</div>
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">
<div class="mw-collapsible-content">
Comma list: 45/44, 50/49, 78/77, 81/80
Comma list: 45/44, 50/49, 78/77, 81/80


Line 1,879: Line 2,002:


Badness: 0.0216
Badness: 0.0216
</div></div>
</div></div>


Line 1,894: Line 2,018:
<div style="line-height:1.6;">Technical data</div>
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">
<div class="mw-collapsible-content">
Comma list: 27/26, 40/39, 45/44, 50/49
Comma list: 27/26, 40/39, 45/44, 50/49


Line 1,903: Line 2,028:


Badness: 0.0265
Badness: 0.0265
</div></div>
</div></div>


Line 1,918: Line 2,044:
<div style="line-height:1.6;">Technical data</div>
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">
<div class="mw-collapsible-content">
Comma list: 33/32, 50/49, 55/54
Comma list: 33/32, 50/49, 55/54


Line 1,927: Line 2,054:


Badness: 0.0386
Badness: 0.0386
</div></div>
</div></div>


Line 1,942: Line 2,070:
<div style="line-height:1.6;">Technical data</div>
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">
<div class="mw-collapsible-content">
Comma list: 50/49, 56/55, 81/77
Comma list: 50/49, 56/55, 81/77


Line 1,951: Line 2,080:


Badness: 0.0431
Badness: 0.0431
</div></div>
</div></div>


Line 1,969: Line 2,099:
<div style="line-height:1.6;">Interval table (10-note MOS, 2.3.5.11 POTE tuning)</div>
<div style="line-height:1.6;">Interval table (10-note MOS, 2.3.5.11 POTE tuning)</div>
<div class="mw-collapsible-content">
<div class="mw-collapsible-content">
{| class="wikitable right-1 right-2 sortable"
{| class="wikitable right-1 right-2 sortable"
|+  
|+  
Line 2,076: Line 2,207:
<div style="line-height:1.6;">Technical data</div>
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">
<div class="mw-collapsible-content">
[[Comma]] list: 81/80, 6144/6125
[[Comma]] list: 81/80, 6144/6125


Line 2,094: Line 2,226:


[[Badness]]: 0.0557
[[Badness]]: 0.0557
</div></div>
</div></div>


Line 2,123: Line 2,256:


Badness: 0.0261
Badness: 0.0261
</div></div>
</div></div>


Line 2,137: Line 2,271:
<div style="line-height:1.6;">Technical data</div>
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">
<div class="mw-collapsible-content">
Comma list: 66/65, 81/80, 105/104, 121/120
Comma list: 66/65, 81/80, 105/104, 121/120


Line 2,146: Line 2,281:


Badness: 0.0234
Badness: 0.0234
</div></div>
</div></div>


Line 2,160: Line 2,296:
<div style="line-height:1.6;">Technical data</div>
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">
<div class="mw-collapsible-content">
Comma list: 66/65, 81/80, 105/104, 121/120, 154/153
Comma list: 66/65, 81/80, 105/104, 121/120, 154/153


Line 2,169: Line 2,306:


Badness: 0.0206
Badness: 0.0206
</div></div>
</div></div>


Line 2,183: Line 2,321:
<div style="line-height:1.6;">Technical data</div>
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">
<div class="mw-collapsible-content">
Comma list: 66/65, 77/76, 81/80, 96/95, 105/104, 153/152
Comma list: 66/65, 77/76, 81/80, 96/95, 105/104, 153/152


Line 2,192: Line 2,331:


Badness: 0.0173
Badness: 0.0173
</div></div>
</div></div>


Line 2,286: Line 2,426:
<div style="line-height:1.6;">Technical data</div>
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">
<div class="mw-collapsible-content">
Comma list: 81/80, 121/120, 126/125
Comma list: 81/80, 121/120, 126/125


Line 2,295: Line 2,436:


Badness: 0.0255
Badness: 0.0255
</div></div>
</div></div>


Line 2,310: Line 2,452:
<div style="line-height:1.6;">Technical data</div>
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">
<div class="mw-collapsible-content">
Comma list: 66/65, 81/80, 121/120, 126/125
Comma list: 66/65, 81/80, 121/120, 126/125


Line 2,319: Line 2,462:


Badness: 0.0281
Badness: 0.0281
</div></div>
</div></div>


Line 2,335: Line 2,479:
<div style="line-height:1.6;">Technical data</div>
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">
<div class="mw-collapsible-content">
Comma list: 81/80, 121/120, 525/512
Comma list: 81/80, 121/120, 525/512


Line 2,342: Line 2,487:


Badness: 0.0588
Badness: 0.0588
</div></div>
</div></div>


Line 2,357: Line 2,503:
<div style="line-height:1.6;">Technical data</div>
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">
<div class="mw-collapsible-content">
Comma list: 65/64, 81/80, 105/104, 121/120
Comma list: 65/64, 81/80, 105/104, 121/120


Line 2,364: Line 2,511:


Badness: 0.0343
Badness: 0.0343
</div></div>
</div></div>


Line 2,384: Line 2,532:
<div style="line-height:1.6;">Technical data</div>
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">
<div class="mw-collapsible-content">
[[Comma]] list: 81/80, 36/35, 121/120
[[Comma]] list: 81/80, 36/35, 121/120


Line 2,391: Line 2,540:


{{Vals|legend=1| 7, 17c, 24d, 41cd }}
{{Vals|legend=1| 7, 17c, 24d, 41cd }}
</div></div>
</div></div>


Line 2,406: Line 2,556:
<div style="line-height:1.6;">Technical data</div>
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">
<div class="mw-collapsible-content">
[[Comma]] list: 81/80, 36/35, 121/120, 144/143
[[Comma]] list: 81/80, 36/35, 121/120, 144/143


Line 2,413: Line 2,564:


{{Vals|legend=1| 7, 17c, 24d, 41cd }}
{{Vals|legend=1| 7, 17c, 24d, 41cd }}
</div></div>
</div></div>