User:CompactStar/Ed11/5: Difference between revisions
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== Individual pages for ed11/5's == | == Individual pages for ed11/5's == | ||
{| class="wikitable center-all" | |||
|+ style=white-space:nowrap | 0…99 | |||
| [[0ed11/5|0]] | |||
| [[1ed11/5|1]] | |||
| [[2ed11/5|2]] | |||
| [[3ed11/5|3]] | |||
| [[4ed11/5|4]] | |||
| [[5ed11/5|5]] | |||
| [[6ed11/5|6]] | |||
| [[7ed11/5|7]] | |||
| [[8ed11/5|8]] | |||
| [[9ed11/5|9]] | |||
|- | |||
| [[10ed11/5|10]] | |||
| [[11ed11/5|11]] | |||
| [[12ed11/5|12]] | |||
| [[13ed11/5|13]] | |||
| [[14ed11/5|14]] | |||
| [[15ed11/5|15]] | |||
| [[16ed11/5|16]] | |||
| [[17ed11/5|17]] | |||
| [[18ed11/5|18]] | |||
| [[19ed11/5|19]] | |||
|- | |||
| [[20ed11/5|20]] | |||
| [[21ed11/5|21]] | |||
| [[22ed11/5|22]] | |||
| [[23ed11/5|23]] | |||
| [[24ed11/5|24]] | |||
| [[25ed11/5|25]] | |||
| [[26ed11/5|26]] | |||
| [[27ed11/5|27]] | |||
| [[28ed11/5|28]] | |||
| [[29ed11/5|29]] | |||
|- | |||
| [[30ed11/5|30]] | |||
| [[31ed11/5|31]] | |||
| [[32ed11/5|32]] | |||
| [[33ed11/5|33]] | |||
| [[34ed11/5|34]] | |||
| [[35ed11/5|35]] | |||
| [[36ed11/5|36]] | |||
| [[37ed11/5|37]] | |||
| [[38ed11/5|38]] | |||
| [[39ed11/5|39]] | |||
|- | |||
| [[40ed11/5|40]] | |||
| [[41ed11/5|41]] | |||
| [[42ed11/5|42]] | |||
| [[43ed11/5|43]] | |||
| [[44ed11/5|44]] | |||
| [[45ed11/5|45]] | |||
| [[46ed11/5|46]] | |||
| [[47ed11/5|47]] | |||
| [[48ed11/5|48]] | |||
| [[49ed11/5|49]] | |||
|- | |||
| [[50ed11/5|50]] | |||
| [[51ed11/5|51]] | |||
| [[52ed11/5|52]] | |||
| [[53ed11/5|53]] | |||
| [[54ed11/5|54]] | |||
| [[55ed11/5|55]] | |||
| [[56ed11/5|56]] | |||
| [[57ed11/5|57]] | |||
| [[58ed11/5|58]] | |||
| [[59ed11/5|59]] | |||
|- | |||
| [[60ed11/5|60]] | |||
| [[61ed11/5|61]] | |||
| [[62ed11/5|62]] | |||
| [[63ed11/5|63]] | |||
| [[64ed11/5|64]] | |||
| [[65ed11/5|65]] | |||
| [[66ed11/5|66]] | |||
| [[67ed11/5|67]] | |||
| [[68ed11/5|68]] | |||
| [[69ed11/5|69]] | |||
|- | |||
| [[70ed11/5|70]] | |||
| [[71ed11/5|71]] | |||
| [[72ed11/5|72]] | |||
| [[73ed11/5|73]] | |||
| [[74ed11/5|74]] | |||
| [[75ed11/5|75]] | |||
| [[76ed11/5|76]] | |||
| [[77ed11/5|77]] | |||
| [[78ed11/5|78]] | |||
| [[79ed11/5|79]] | |||
|- | |||
| [[80ed11/5|80]] | |||
| [[81ed11/5|81]] | |||
| [[82ed11/5|82]] | |||
| [[83ed11/5|83]] | |||
| [[84ed11/5|84]] | |||
| [[85ed11/5|85]] | |||
| [[86ed11/5|86]] | |||
| [[87ed11/5|87]] | |||
| [[88ed11/5|88]] | |||
| [[89ed11/5|89]] | |||
|- | |||
| [[90ed11/5|90]] | |||
| [[91ed11/5|91]] | |||
| [[92ed11/5|92]] | |||
| [[93ed11/5|93]] | |||
| [[94ed11/5|94]] | |||
| [[95ed11/5|95]] | |||
| [[96ed11/5|96]] | |||
| [[97ed11/5|97]] | |||
| [[98ed11/5|98]] | |||
| [[99ed11/5|99]] | |||
|} | |||
[[Category:Ed11/5| ]] <!-- main article --> | [[Category:Ed11/5| ]] <!-- main article --> | ||
[[Category:Edonoi]] | [[Category:Edonoi]] | ||
[[Category:Lists of scales]] | [[Category:Lists of scales]] | ||
Revision as of 02:07, 1 October 2024
The equal division of 11/5 (ed11/5) is a tuning obtained by dividing the neutral ninth (11/5) into a certain number of equal steps.
Division of 11/5 into equal parts does not necessarily imply directly using this interval as an equivalence. The question of equivalence has not even been posed yet. The utility of 11/5 as a base though is apparent by it being, beside the true high ninth of a just dominant 11th chord, the best option for "no-twos-or-threes" harmony after the extremely wide harmonic 5, and the awkwardly narrow small septimal tritone. It is also a relatively strong consonance. Many, though not all, of these scales have a perceptually important false octave, with various degrees of accuracy.
The simplest chord without 2's or 3's that sounds consonant and stable is 11:13:17, so it can be viewed as the fundamental sonority of no-twos-or-threes music. A neutral ninth-reduced stack of four 121/85's fall short of 17/13 by the small comma 2093663/2088025. Tempering out this comma together with the additional comma 54925/54043 results in catfish temperament, which can be viewed as an analog to meantone. It possesses mos scales of the families 2L 3s<11/5>, 2L 5s<11/5>, 2L 7s<11/5>, and 9L 2s<11/5>.
Ed11/5-edo correspondence
| Ed11/5 | Edo |
|---|---|
| 8ed11/5 | 7edo |
| 9ed11/5 | 8edo |
| 16ed11/5 | 14edo |
| 18ed11/5 | 16edo |
| 24ed11/5 | 21edo |
| 25ed11/5 | 22edo |
| 27ed11/5 | 24edo |
| 33ed11/5 | 29edo |
| 50ed11/5 | 44edo |
Individual pages for ed11/5's
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 |
| 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 |
| 30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 |
| 40 | 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 |
| 50 | 51 | 52 | 53 | 54 | 55 | 56 | 57 | 58 | 59 |
| 60 | 61 | 62 | 63 | 64 | 65 | 66 | 67 | 68 | 69 |
| 70 | 71 | 72 | 73 | 74 | 75 | 76 | 77 | 78 | 79 |
| 80 | 81 | 82 | 83 | 84 | 85 | 86 | 87 | 88 | 89 |
| 90 | 91 | 92 | 93 | 94 | 95 | 96 | 97 | 98 | 99 |