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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | {{Infobox MOS}} |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| |
| : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2014-10-28 01:16:53 UTC</tt>.<br>
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| : The original revision id was <tt>528394026</tt>.<br>
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| : The revision comment was: <tt></tt><br>
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| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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| <h4>Original Wikitext content:</h4>
| |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">This page is about of a [[MOSScales|MOSScale]] with 7 large steps and 2 small steps arranged LLLsLLLLs (or any rotation of that, such as LLsLLLsLL).
| |
|
| |
|
| If you're looking for highly accurate scales (that is, ones that approximate JI closely), there are much better scale patterns to look at. However, if your harmonic entropy is coarse enough (that is, if 678 cents is an acceptable '3/2' to you), then [[Pelogic family|mávila]] is an important harmonic entropy minimum here. So a general name for this MOS pattern could be "Mávila Superdiatonic" or simply 'Superdiatonic'.
| | {{MOS intro}} |
| These scales are strongly associated with the [[Armodue]] project/system applied too on Septimal-mávila and Hornbostel temperaments.
| | Scales of this form are strongly associated with [[Armodue theory]], as applied to septimal mavila and Hornbostel temperaments. [[Trismegistus]] is also a usable temperament. |
| | == Name == |
| | The [[TAMNAMS]] name for this pattern is '''armotonic''', in reference to Armodue theory. '''Superdiatonic''' is also in use. |
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|
| Optional types of 'JI [[Blown Fifth]]' Generators: 31/21, 34/23, 65/44, 71/48, 99/67, 105/71, 108/73, 133/90, 145/98, 176/119 & 250/169.
| | == Scale properties == |
| ||~ ||~ ||||||||||||||~ Generator ||~ Generator size (cents) ||~ Scale steps ||~ Comments ||
| | {{TAMNAMS use}} |
| ||< 4\[[7edo|7]] ||< ||< ||< ||< ||< ||< ||< ||< ||< 685.714 ||< 1 1 1 0 1 1 1 1 0 ||< ||
| |
| ||< 21\ ||< ||< ||< ||< ||< ||< ||< ||< ||< 681.081 ||< 5 5 5 1 5 5 5 5 1 ||< ||
| |
| ||< 17\ ||< ||< ||< ||< ||< ||< ||< ||< ||< 680 ||< 4 4 4 1 4 4 4 4 1 ||< L/s = 4 ||
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| ||< 30\ ||< ||< ||< ||< ||< ||< ||< ||< ||< 679.245 ||< 7 7 7 2 7 7 7 7 2 ||< ||
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| || || 43\76 || || || || || || || || 678.947 || 10 10 10 3 10 10 10 10 3 || ||
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| || || || 56\99 || || || || || || || 678.788 || 13 13 13 4 13 13 13 13 4 || ||
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| || || || || 69\122 || || || || || || 678.6885 || 16 16 16 5 16 16 16 16 5 || ||
| |
| || || || || || 82\145 || || || || || 678.621 || 19 19 19 6 19 19 19 19 6 || ||
| |
| || || || || || || 95\168 || || || || 678.571 || 22 22 22 7 22 22 22 22 7 || ||
| |
| || || || || || || || 108\191 || || || 678.534 || 25 25 25 8 25 25 25 25 8 || ||
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| ||< ||< ||< ||< ||< ||< ||< ||< 121\ ||< ||< 678.505 ||< 28 28 28 9 28 28 28 28 9 ||< 28;9 Superdiatonic 1/28-tone (a slight exceeded representation of the ratio 262144/177147, the Pythagorean wolf Fifth) ||
| |
| ||< ||< ||< ||< ||< ||< ||< ||< ||< 134\ ||< 678.481 ||< 31 31 31 10 31 31 31 31 10 ||< HORNBOSTEL TEMPERAMENT (1/31-tone; Optimum high size
| |
| of Hornbostel '6th') ||
| |
| ||< 13\ ||< ||< ||< ||< ||< ||< ||< ||< ||< 678.261 ||< 3 3 3 1 3 3 3 3 1 ||< HORNBOSTEL TEMPERAMENT (Armodue 1/3-tone)
| |
| L/s = 3 ||
| |
| ||< ||< ||< ||< ||< ||< ||< ||< ||< 126\ ||< 678.027 ||< 29 29 29 10 29 29 29 29 10 ||< HORNBOSTEL TEMPERAMENT (Armodue 1/29-tone) ||
| |
| ||< ||< ||< ||< ||< ||< ||< ||< 113\ ||< ||< 678 ||< 26 26 26 9 26 26 26 26 9 ||< HORNBOSTEL (& [[Alexei Stepanovich Ogolevets|OGOLEVETS]]) TEMPERAMENT
| |
| (Armodue 1/26-tone; Best equillibrium between 6/5, Phi (833.1 Cent) and Square root of Pi (990.9 Cent), the notes '3', '7' & '8') ||
| |
| ||< ||< ||< ||< ||< ||< ||< 100\177 ||< ||< ||< 677.966 ||< 23 23 23 8 23 23 23 23 8 ||< ||
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| ||< ||< ||< ||< ||< ||< 87\154 ||< ||< ||< ||< 677.922 ||< 20 20 20 7 20 20 20 20 7 ||< ||
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| ||< ||< ||< ||< ||< 74\ ||< ||< ||< ||< ||< 677.863 ||< 17 17 17 6 17 17 17 17 6 ||< Armodue-Hornbostel 1/17-tone (the Golden Tone System of
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| Thorvald Kornerup and a temperament of the Alexei
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| Ogolevets's list of temperaments) ||
| |
| ||< ||< ||< ||< 61\ ||< ||< ||< ||< ||< ||< 677.778 ||< 14 14 14 5 14
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| 14 14 14 5 ||< Armodue-Hornbostel 1/14-tone ||
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| ||< ||< ||< ||< ||< 109\ ||< ||< ||< ||< ||< 677.720 ||< 25 25 25 9 25
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| 25 25 25 9 ||< Armodue-Hornbostel 1/25-tone ||
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| ||< ||< ||< 48\ ||< ||< ||< ||< ||< ||< ||< 677.647 ||< 11 11 11 4 11
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| 11 11 11 4 ||< Armodue-Hornbostel 1/11-tone (Optimum accuracy of Phi
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| interval, the note '7') ||
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| ||< ||< 35\ ||< ||< ||< ||< ||< ||< ||< ||< 677.419 ||< 8 8 8 3 8 8 8 8 3 ||< Armodue-Hornbostel 1/8-tone ||
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| ||< ||< ||< ||< 92\ ||< ||< ||< ||< ||< ||< 677.301 ||< 21 21 21 8 21 21 21 21 8 ||< 21;8 Superdiatonic 1/21-tone ||
| |
| ||< ||< ||< ||< ||< ||< ||< ||< ||< ||< 677.2804 ||< <span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;">φ+1 φ+1 φ+1 1 φ+1 φ+1 φ+1 φ+1 1</span> ||< Split φ superdiatonic relation (34;13 - 55;21 - 89;34 - 144;55 - 233;89 - 377;144 - 610;233..) ||
| |
| ||< ||< ||< 57\ ||< ||< ||< ||< ||< ||< ||< 677.228 ||< 13 13 13 5 13 13 13 13 5 ||< 13;5 Superdiatonic 1/13-tone ||
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| ||< 22\ ||< ||< ||< ||< ||< ||< ||< ||< ||< 676.923 ||< 5 5 5 2 5 5 5 5 2 ||< Armodue-Hornbostel 1/5-tone (Optimum low size of Hornbostel '6th') ||
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| ||< ||< ||< ||< 75\ ||< ||< ||< ||< ||< ||< 676.692 ||< 17 17 17 7 17 17 17 17 7 ||< 17;7 Superdiatonic 1/17-tone (Note the very accuracy of the step 75 with the ratio 34/23 with an error of +0.011 Cents) ||
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| ||< ||< ||< 53\94 ||< ||< ||< ||< ||< ||< ||< 676.596 ||< 12 12 12 5 12 12 12 12 5 ||< ||
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| ||< ||< 31\ ||< ||< ||< ||< ||< ||< ||< ||< 676.364 ||< 7 7 7 3 7 7 7 7 3 ||< 7;3 Superdiatonic 1/7-tone ||
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| ||< ||< ||< 40\ ||< ||< ||< ||< ||< ||< ||< 676.056 ||< 9 9 9 4 9 9 9 9 4 ||< 9;4 Superdiatonic 1/9-tone ||
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| ||< ||< ||< ||< 49\ ||< ||< ||< ||< ||< ||< 675.862 ||< 11 11 11 5 11 11 11 11 5 ||< 11;5 Superdiatonic 1/11-tone ||
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| ||< ||< ||< ||< ||< 58\ ||< ||< ||< ||< ||< 675.728 ||< 13 13 13 6 13
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| 13 13 13 6 ||< 13;6 Superdiatonic 1/13-tone ||
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| ||< 9\ ||< ||< ||< ||< ||< ||< ||< ||< ||< 675 ||< 2 2 2 1 2 2 2 2 1 ||< <span style="display: block; text-align: left;">**[BOUNDARY OF PROPRIETY: smaller generators are strictly proper]**</span>ARMODUE ESADECAFONIA (or Goldsmith Temperament) ||
| |
| ||< ||< ||< ||< ||< ||< 59\ ||< ||< ||< ||< 674.286 ||< 13 13 13 7 13
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| 13 13 13 7 ||< Armodue-Mávila 1/13-tone ||
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| ||< ||< ||< ||< ||< 50\ ||< ||< ||< ||< ||< 674.157 ||< 11 11 11 6 11 11 11 11 6 ||< Armodue-Mávila 1/11-tone ||
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| ||< ||< ||< ||< 41\ ||< ||< ||< ||< ||< ||< 673.973 ||< 9 9 9 5 9 9 9 9 5 ||< Armodue-Mávila 1/9-tone (with an approximation
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| of the Perfect Fifth + 1/5 Pyth.Comma [706.65 Cents]: 43\73 is 706.85 Cents) ||
| |
| ||< ||< ||< 32\ ||< ||< ||< ||< ||< ||< ||< 673.684 ||< 7 7 7 4 7 7 7 7 4 ||< Armodue-Mávila 1/7-tone (the 'Commatic' version of
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| Armodue, because its highly accuracy of the [[7_4|7/4]]
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| interval, the note '8') ||
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| ||< ||< ||< ||< 55\98 ||< ||< ||< ||< ||< ||< 673.469 ||< 12 12 12 7 12 12 12 12 7 ||< ||
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| ||< ||< ||< ||< ||< 78\[[139edo|139]] ||< ||< ||< ||< ||< 673.381 ||< 17 17 17 10 17 17 17 17 10 ||< Armodue-Mávila 1/17-tone ||
| |
| ||< ||< ||< ||< ||< ||< 101\180 ||< ||< ||< ||< 673.333 ||< 22 22 22 13 22 22 22 22 13 ||< ||
| |
| ||< 23\ ||< ||< ||< ||< ||< ||< ||< ||< ||< 673.171 ||< 5 5 5 3 5 5 5 5 3 ||< 5;3 Golden Armodue-Mávila 1/5-tone ||
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| ||< ||< ||< 60\ ||< ||< ||< ||< ||< ||< ||< 672.897 ||< 13 13 13 8 13 13 13 13 8 ||< 13;8 Golden Mávila 1/13-tone ||
| |
| ||< ||< ||< ||< ||< ||< ||< ||< ||< ||< 672.8503 ||< <span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;">φ φ φ 1 φ φ φ φ 1</span> ||< GOLDEN MÁVILA (L/s = <span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;">φ)</span> ||
| |
| ||< ||< ||< ||< 97\ ||< ||< ||< ||< ||< ||< 672.832 ||< 21 21 21 13 21 21 21 21 13 ||< 21;13 Golden Mávila 1/21-tone (ratio between large and small steps is Phi, and Phi is the step 120\173) ||
| |
| ||< ||< 37\ ||< ||< ||< ||< ||< ||< ||< ||< 672.727 ||< 8 8 8 5 8 8 8 8 5 ||< 8;5 Golden Mávila 1/8-tone ||
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| ||< ||< ||< 51\ ||< ||< ||< ||< ||< ||< ||< 672.527 ||< 11 11 11 7 11
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| 11 11 11 7 ||< 11;7 Superdiatonic 1/11-tone ||
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| ||< ||< ||< ||< ||< 116\ ||< ||< ||< ||< ||< 672.464 ||< 25 25 25 16 25 25 25 25 16 ||< 25;16 Superdiatonic 1/25-tone ||
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| ||< ||< ||< ||< 65\ ||< ||< ||< ||< ||< ||< 672.414 ||< 14 14 14 9 14
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| 14 14 14 9 ||< 14;9 Superdiatonic 1/14-tone ||
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| ||< ||< ||< ||< ||< 79\ ||< ||< ||< ||< ||< 672.340 ||< 17 17 17 11 17 17 17 17 11 ||< 17;11 Superdiatonic 1/17-tone ||
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| ||< ||< ||< ||< ||< ||< 93\166 ||< ||< ||< ||< 672.289 ||< 20 20 20 13 20 20 20 20 13 ||< ||
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| ||< ||< ||< ||< ||< ||< ||< 107\191 ||< ||< ||< 672.251 ||< 23 23 23 15 23 23 23 23 15 ||< ||
| |
| ||< ||< ||< ||< ||< ||< ||< ||< 121\ ||< ||< 672.222 ||< 26 26 26 17 26 26 26 26 17 ||< 26;17 Superdiatonic 1/26-tone ||
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| ||< ||< ||< ||< ||< ||< ||< ||< ||< 135\ ||< 672.199 ||< 29 29 29 19 29 29 29 29 19 ||< 29;19 Superdiatonic 1/29-tone ||
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| ||< 14\ ||< ||< ||< ||< ||< ||< ||< ||< ||< 672 ||< 3 3 3 2 3 3 3 3 2 ||< 3;2 Golden Armodue-Mávila 1/3-tone ||
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| ||< ||< ||< ||< ||< ||< ||< ||< ||< 145\ ||< 671.815 ||< 31 31 31 21 31 31 31 31 21 ||< 31;21 Superdiatonic 1/31-tone ||
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| ||< ||< ||< ||< ||< ||< ||< ||< 131\ ||< ||< 671.795 ||< 28 28 28 19 28 28 28 28 19 ||< 28;19 Superdiatonic 1/28-tone ||
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| ||< ||< ||< ||< ||< ||< ||< 117\209 ||< ||< ||< 671.770 ||< 25 25 25 17 25 25 25 25 17 ||< ||
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| ||< ||< ||< ||< ||< ||< 103\184 ||< ||< ||< ||< 671.739 ||< 22 22 22 15 22 22 22 22 15 ||< ||
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| ||< ||< ||< ||< ||< 89\159 ||< ||< ||< ||< ||< 671.698 ||< 19 19 19 13 19 19 19 19 13 ||< ||
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| ||< ||< ||< ||< 75\134 ||< ||< ||< ||< ||< ||< 671.642 ||< 16 16 16 11 16 16 16 16 11 ||< ||
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| ||< ||< ||< 61\109 ||< ||< ||< ||< ||< ||< ||< 671.560 ||< 13 13 13 9 13 13 13 9 ||< ||
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| ||< ||< 47\84 ||< ||< ||< ||< ||< ||< ||< ||< 671.429 ||< 10 10 10 7 10 10 10 10 7 ||< ||
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| ||< 33\ ||< ||< ||< ||< ||< ||< ||< ||< ||< 671.186 ||< 7 7 7 5 7 7 7 7 5 ||< ||
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| ||< 19\ ||< ||< ||< ||< ||< ||< ||< ||< ||< 670.588 ||< 4 4 4 3 4 4 4 4 3 ||< ||
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| ||< 24\ ||< ||< ||< ||< ||< ||< ||< ||< ||< 669.767 ||< 5 5 5 4 5 5 5 5 4 ||< ||
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| ||< 5\[[9edo|9]] ||< ||< ||< ||< ||< ||< ||< ||< ||< 666.667 ||< 1 1 1 1 1 1 1 1 1 ||< ||</pre></div>
| |
| <h4>Original HTML content:</h4>
| |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>7L 2s</title></head><body>This page is about of a <a class="wiki_link" href="/MOSScales">MOSScale</a> with 7 large steps and 2 small steps arranged LLLsLLLLs (or any rotation of that, such as LLsLLLsLL).<br />
| |
| <br />
| |
| If you're looking for highly accurate scales (that is, ones that approximate JI closely), there are much better scale patterns to look at. However, if your harmonic entropy is coarse enough (that is, if 678 cents is an acceptable '3/2' to you), then <a class="wiki_link" href="/Pelogic%20family">mávila</a> is an important harmonic entropy minimum here. So a general name for this MOS pattern could be &quot;Mávila Superdiatonic&quot; or simply 'Superdiatonic'.<br />
| |
| These scales are strongly associated with the <a class="wiki_link" href="/Armodue">Armodue</a> project/system applied too on Septimal-mávila and Hornbostel temperaments.<br />
| |
| <br />
| |
| Optional types of 'JI <a class="wiki_link" href="/Blown%20Fifth">Blown Fifth</a>' Generators: 31/21, 34/23, 65/44, 71/48, 99/67, 105/71, 108/73, 133/90, 145/98, 176/119 &amp; 250/169.<br />
| |
|
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|
| | === Intervals === |
| | {{MOS intervals}} |
|
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|
| <table class="wiki_table">
| | === Generator chain === |
| <tr>
| | {{MOS genchain}} |
| <th><br />
| |
| </th>
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| <th><br />
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| </th>
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| <th colspan="7">Generator<br />
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| </th>
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| <th>Generator size (cents)<br />
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| </th>
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| <th>Scale steps<br />
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| </th>
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| <th>Comments<br />
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| </th>
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| </tr>
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| <tr>
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| <td style="text-align: left;">4\<a class="wiki_link" href="/7edo">7</a><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
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| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
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| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
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| </td>
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| <td style="text-align: left;"><br />
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| </td>
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| <td style="text-align: left;"><br />
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| </td>
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| <td style="text-align: left;"><br />
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| </td>
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| <td style="text-align: left;">685.714<br />
| |
| </td>
| |
| <td style="text-align: left;">1 1 1 0 1 1 1 1 0<br />
| |
| </td>
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| <td style="text-align: left;"><br />
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| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;">21\<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
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| </td>
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| <td style="text-align: left;"><br />
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| </td>
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| <td style="text-align: left;"><br />
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| </td>
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| <td style="text-align: left;"><br />
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| </td>
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| <td style="text-align: left;"><br />
| |
| </td>
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| <td style="text-align: left;"><br />
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| </td>
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| <td style="text-align: left;"><br />
| |
| </td>
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| <td style="text-align: left;"><br />
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| </td>
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| <td style="text-align: left;">681.081<br />
| |
| </td>
| |
| <td style="text-align: left;">5 5 5 1 5 5 5 5 1<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;">17\<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
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| </td>
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| <td style="text-align: left;"><br />
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| </td>
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| <td style="text-align: left;"><br />
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| </td>
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| <td style="text-align: left;"><br />
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| </td>
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| <td style="text-align: left;"><br />
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| </td>
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| <td style="text-align: left;"><br />
| |
| </td>
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| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">680<br />
| |
| </td>
| |
| <td style="text-align: left;">4 4 4 1 4 4 4 4 1<br />
| |
| </td>
| |
| <td style="text-align: left;">L/s = 4<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;">30\<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
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| <td style="text-align: left;"><br />
| |
| </td>
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| <td style="text-align: left;"><br />
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| </td>
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| <td style="text-align: left;"><br />
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| </td>
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| <td style="text-align: left;"><br />
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| </td>
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| <td style="text-align: left;"><br />
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| </td>
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| <td style="text-align: left;"><br />
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| </td>
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| <td style="text-align: left;">679.245<br />
| |
| </td>
| |
| <td style="text-align: left;">7 7 7 2 7 7 7 7 2<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
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| <td><br />
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| </td>
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| <td>43\76<br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td>678.947<br />
| |
| </td>
| |
| <td>10 10 10 3 10 10 10 10 3<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td>56\99<br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td>678.788<br />
| |
| </td>
| |
| <td>13 13 13 4 13 13 13 13 4<br />
| |
| </td>
| |
| <td><br />
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| </td>
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| </tr>
| |
| <tr>
| |
| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td>69\122<br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
| |
| </td>
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| <td><br />
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| </td>
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| <td><br />
| |
| </td>
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| <td>678.6885<br />
| |
| </td>
| |
| <td>16 16 16 5 16 16 16 16 5<br />
| |
| </td>
| |
| <td><br />
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| </td>
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| </tr>
| |
| <tr>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>82\145<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>678.621<br />
| |
| </td>
| |
| <td>19 19 19 6 19 19 19 19 6<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>95\168<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>678.571<br />
| |
| </td>
| |
| <td>22 22 22 7 22 22 22 22 7<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>108\191<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>678.534<br />
| |
| </td>
| |
| <td>25 25 25 8 25 25 25 25 8<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">121\<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">678.505<br />
| |
| </td>
| |
| <td style="text-align: left;">28 28 28 9 28 28 28 28 9<br />
| |
| </td>
| |
| <td style="text-align: left;">28;9 Superdiatonic 1/28-tone (a slight exceeded representation of the ratio 262144/177147, the Pythagorean wolf Fifth)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">134\<br />
| |
| </td>
| |
| <td style="text-align: left;">678.481<br />
| |
| </td>
| |
| <td style="text-align: left;">31 31 31 10 31 31 31 31 10<br />
| |
| </td>
| |
| <td style="text-align: left;">HORNBOSTEL TEMPERAMENT (1/31-tone; Optimum high size<br />
| |
| of Hornbostel '6th')<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;">13\<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">678.261<br />
| |
| </td>
| |
| <td style="text-align: left;">3 3 3 1 3 3 3 3 1<br />
| |
| </td>
| |
| <td style="text-align: left;">HORNBOSTEL TEMPERAMENT (Armodue 1/3-tone)<br />
| |
| L/s = 3<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">126\<br />
| |
| </td>
| |
| <td style="text-align: left;">678.027<br />
| |
| </td>
| |
| <td style="text-align: left;">29 29 29 10 29 29 29 29 10<br />
| |
| </td>
| |
| <td style="text-align: left;">HORNBOSTEL TEMPERAMENT (Armodue 1/29-tone)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">113\<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">678<br />
| |
| </td>
| |
| <td style="text-align: left;">26 26 26 9 26 26 26 26 9<br />
| |
| </td>
| |
| <td style="text-align: left;">HORNBOSTEL (&amp; <a class="wiki_link" href="/Alexei%20Stepanovich%20Ogolevets">OGOLEVETS</a>) TEMPERAMENT<br />
| |
| (Armodue 1/26-tone; Best equillibrium between 6/5, Phi (833.1 Cent) and Square root of Pi (990.9 Cent), the notes '3', '7' &amp; '8')<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">100\177<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">677.966<br />
| |
| </td>
| |
| <td style="text-align: left;">23 23 23 8 23 23 23 23 8<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">87\154<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">677.922<br />
| |
| </td>
| |
| <td style="text-align: left;">20 20 20 7 20 20 20 20 7<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">74\<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">677.863<br />
| |
| </td>
| |
| <td style="text-align: left;">17 17 17 6 17 17 17 17 6<br />
| |
| </td>
| |
| <td style="text-align: left;">Armodue-Hornbostel 1/17-tone (the Golden Tone System of<br />
| |
| Thorvald Kornerup and a temperament of the Alexei<br />
| |
| Ogolevets's list of temperaments)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">61\<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">677.778<br />
| |
| </td>
| |
| <td style="text-align: left;">14 14 14 5 14<br />
| |
| 14 14 14 5<br />
| |
| </td>
| |
| <td style="text-align: left;">Armodue-Hornbostel 1/14-tone<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">109\<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">677.720<br />
| |
| </td>
| |
| <td style="text-align: left;">25 25 25 9 25<br />
| |
| 25 25 25 9<br />
| |
| </td>
| |
| <td style="text-align: left;">Armodue-Hornbostel 1/25-tone<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">48\<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">677.647<br />
| |
| </td>
| |
| <td style="text-align: left;">11 11 11 4 11<br />
| |
| 11 11 11 4<br />
| |
| </td>
| |
| <td style="text-align: left;">Armodue-Hornbostel 1/11-tone (Optimum accuracy of Phi<br />
| |
| interval, the note '7')<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">35\<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">677.419<br />
| |
| </td>
| |
| <td style="text-align: left;">8 8 8 3 8 8 8 8 3<br />
| |
| </td>
| |
| <td style="text-align: left;">Armodue-Hornbostel 1/8-tone<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">92\<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">677.301<br />
| |
| </td>
| |
| <td style="text-align: left;">21 21 21 8 21 21 21 21 8<br />
| |
| </td>
| |
| <td style="text-align: left;">21;8 Superdiatonic 1/21-tone<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">677.2804<br />
| |
| </td>
| |
| <td style="text-align: left;"><span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;">φ+1 φ+1 φ+1 1 φ+1 φ+1 φ+1 φ+1 1</span><br />
| |
| </td>
| |
| <td style="text-align: left;">Split φ superdiatonic relation (34;13 - 55;21 - 89;34 - 144;55 - 233;89 - 377;144 - 610;233..)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">57\<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">677.228<br />
| |
| </td>
| |
| <td style="text-align: left;">13 13 13 5 13 13 13 13 5<br />
| |
| </td>
| |
| <td style="text-align: left;">13;5 Superdiatonic 1/13-tone<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;">22\<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">676.923<br />
| |
| </td>
| |
| <td style="text-align: left;">5 5 5 2 5 5 5 5 2<br />
| |
| </td>
| |
| <td style="text-align: left;">Armodue-Hornbostel 1/5-tone (Optimum low size of Hornbostel '6th')<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">75\<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">676.692<br />
| |
| </td>
| |
| <td style="text-align: left;">17 17 17 7 17 17 17 17 7<br />
| |
| </td>
| |
| <td style="text-align: left;">17;7 Superdiatonic 1/17-tone (Note the very accuracy of the step 75 with the ratio 34/23 with an error of +0.011 Cents)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">53\94<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">676.596<br />
| |
| </td>
| |
| <td style="text-align: left;">12 12 12 5 12 12 12 12 5<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">31\<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">676.364<br />
| |
| </td>
| |
| <td style="text-align: left;">7 7 7 3 7 7 7 7 3<br />
| |
| </td>
| |
| <td style="text-align: left;">7;3 Superdiatonic 1/7-tone<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">40\<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">676.056<br />
| |
| </td>
| |
| <td style="text-align: left;">9 9 9 4 9 9 9 9 4<br />
| |
| </td>
| |
| <td style="text-align: left;">9;4 Superdiatonic 1/9-tone<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">49\<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">675.862<br />
| |
| </td>
| |
| <td style="text-align: left;">11 11 11 5 11 11 11 11 5<br />
| |
| </td>
| |
| <td style="text-align: left;">11;5 Superdiatonic 1/11-tone<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">58\<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">675.728<br />
| |
| </td>
| |
| <td style="text-align: left;">13 13 13 6 13<br />
| |
| 13 13 13 6<br />
| |
| </td>
| |
| <td style="text-align: left;">13;6 Superdiatonic 1/13-tone<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;">9\<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">675<br />
| |
| </td>
| |
| <td style="text-align: left;">2 2 2 1 2 2 2 2 1<br />
| |
| </td>
| |
| <td style="text-align: left;"><span style="display: block; text-align: left;"><strong>[BOUNDARY OF PROPRIETY: smaller generators are strictly proper]</strong></span>ARMODUE ESADECAFONIA (or Goldsmith Temperament)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">59\<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">674.286<br />
| |
| </td>
| |
| <td style="text-align: left;">13 13 13 7 13<br />
| |
| 13 13 13 7<br />
| |
| </td>
| |
| <td style="text-align: left;">Armodue-Mávila 1/13-tone<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">50\<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">674.157<br />
| |
| </td>
| |
| <td style="text-align: left;">11 11 11 6 11 11 11 11 6<br />
| |
| </td>
| |
| <td style="text-align: left;">Armodue-Mávila 1/11-tone<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">41\<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">673.973<br />
| |
| </td>
| |
| <td style="text-align: left;">9 9 9 5 9 9 9 9 5<br />
| |
| </td>
| |
| <td style="text-align: left;">Armodue-Mávila 1/9-tone (with an approximation<br />
| |
| of the Perfect Fifth + 1/5 Pyth.Comma [706.65 Cents]: 43\73 is 706.85 Cents)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">32\<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">673.684<br />
| |
| </td>
| |
| <td style="text-align: left;">7 7 7 4 7 7 7 7 4<br />
| |
| </td>
| |
| <td style="text-align: left;">Armodue-Mávila 1/7-tone (the 'Commatic' version of<br />
| |
| Armodue, because its highly accuracy of the <a class="wiki_link" href="/7_4">7/4</a><br />
| |
| interval, the note '8')<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">55\98<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">673.469<br />
| |
| </td>
| |
| <td style="text-align: left;">12 12 12 7 12 12 12 12 7<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">78\<a class="wiki_link" href="/139edo">139</a><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">673.381<br />
| |
| </td>
| |
| <td style="text-align: left;">17 17 17 10 17 17 17 17 10<br />
| |
| </td>
| |
| <td style="text-align: left;">Armodue-Mávila 1/17-tone<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">101\180<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">673.333<br />
| |
| </td>
| |
| <td style="text-align: left;">22 22 22 13 22 22 22 22 13<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;">23\<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">673.171<br />
| |
| </td>
| |
| <td style="text-align: left;">5 5 5 3 5 5 5 5 3<br />
| |
| </td>
| |
| <td style="text-align: left;">5;3 Golden Armodue-Mávila 1/5-tone<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">60\<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">672.897<br />
| |
| </td>
| |
| <td style="text-align: left;">13 13 13 8 13 13 13 13 8<br />
| |
| </td>
| |
| <td style="text-align: left;">13;8 Golden Mávila 1/13-tone<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">672.8503<br />
| |
| </td>
| |
| <td style="text-align: left;"><span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;">φ φ φ 1 φ φ φ φ 1</span><br />
| |
| </td>
| |
| <td style="text-align: left;">GOLDEN MÁVILA (L/s = <span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;">φ)</span><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">97\<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">672.832<br />
| |
| </td>
| |
| <td style="text-align: left;">21 21 21 13 21 21 21 21 13<br />
| |
| </td>
| |
| <td style="text-align: left;">21;13 Golden Mávila 1/21-tone (ratio between large and small steps is Phi, and Phi is the step 120\173)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">37\<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">672.727<br />
| |
| </td>
| |
| <td style="text-align: left;">8 8 8 5 8 8 8 8 5<br />
| |
| </td>
| |
| <td style="text-align: left;">8;5 Golden Mávila 1/8-tone<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">51\<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">672.527<br />
| |
| </td>
| |
| <td style="text-align: left;">11 11 11 7 11<br />
| |
| 11 11 11 7<br />
| |
| </td>
| |
| <td style="text-align: left;">11;7 Superdiatonic 1/11-tone<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">116\<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">672.464<br />
| |
| </td>
| |
| <td style="text-align: left;">25 25 25 16 25 25 25 25 16<br />
| |
| </td>
| |
| <td style="text-align: left;">25;16 Superdiatonic 1/25-tone<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">65\<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">672.414<br />
| |
| </td>
| |
| <td style="text-align: left;">14 14 14 9 14<br />
| |
| 14 14 14 9<br />
| |
| </td>
| |
| <td style="text-align: left;">14;9 Superdiatonic 1/14-tone<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">79\<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">672.340<br />
| |
| </td>
| |
| <td style="text-align: left;">17 17 17 11 17 17 17 17 11<br />
| |
| </td>
| |
| <td style="text-align: left;">17;11 Superdiatonic 1/17-tone<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">93\166<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">672.289<br />
| |
| </td>
| |
| <td style="text-align: left;">20 20 20 13 20 20 20 20 13<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">107\191<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">672.251<br />
| |
| </td>
| |
| <td style="text-align: left;">23 23 23 15 23 23 23 23 15<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">121\<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">672.222<br />
| |
| </td>
| |
| <td style="text-align: left;">26 26 26 17 26 26 26 26 17<br />
| |
| </td>
| |
| <td style="text-align: left;">26;17 Superdiatonic 1/26-tone<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">135\<br />
| |
| </td>
| |
| <td style="text-align: left;">672.199<br />
| |
| </td>
| |
| <td style="text-align: left;">29 29 29 19 29 29 29 29 19<br />
| |
| </td>
| |
| <td style="text-align: left;">29;19 Superdiatonic 1/29-tone<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;">14\<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">672<br />
| |
| </td>
| |
| <td style="text-align: left;">3 3 3 2 3 3 3 3 2<br />
| |
| </td>
| |
| <td style="text-align: left;">3;2 Golden Armodue-Mávila 1/3-tone<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">145\<br />
| |
| </td>
| |
| <td style="text-align: left;">671.815<br />
| |
| </td>
| |
| <td style="text-align: left;">31 31 31 21 31 31 31 31 21<br />
| |
| </td>
| |
| <td style="text-align: left;">31;21 Superdiatonic 1/31-tone<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">131\<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">671.795<br />
| |
| </td>
| |
| <td style="text-align: left;">28 28 28 19 28 28 28 28 19<br />
| |
| </td>
| |
| <td style="text-align: left;">28;19 Superdiatonic 1/28-tone<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">117\209<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">671.770<br />
| |
| </td>
| |
| <td style="text-align: left;">25 25 25 17 25 25 25 25 17<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">103\184<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">671.739<br />
| |
| </td>
| |
| <td style="text-align: left;">22 22 22 15 22 22 22 22 15<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">89\159<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">671.698<br />
| |
| </td>
| |
| <td style="text-align: left;">19 19 19 13 19 19 19 19 13<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">75\134<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">671.642<br />
| |
| </td>
| |
| <td style="text-align: left;">16 16 16 11 16 16 16 16 11<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">61\109<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">671.560<br />
| |
| </td>
| |
| <td style="text-align: left;">13 13 13 9 13 13 13 9<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">47\84<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">671.429<br />
| |
| </td>
| |
| <td style="text-align: left;">10 10 10 7 10 10 10 10 7<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;">33\<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">671.186<br />
| |
| </td>
| |
| <td style="text-align: left;">7 7 7 5 7 7 7 7 5<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;">19\<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">670.588<br />
| |
| </td>
| |
| <td style="text-align: left;">4 4 4 3 4 4 4 4 3<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;">24\<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">669.767<br />
| |
| </td>
| |
| <td style="text-align: left;">5 5 5 4 5 5 5 5 4<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: left;">5\<a class="wiki_link" href="/9edo">9</a><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| <td style="text-align: left;">666.667<br />
| |
| </td>
| |
| <td style="text-align: left;">1 1 1 1 1 1 1 1 1<br />
| |
| </td>
| |
| <td style="text-align: left;"><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| </body></html></pre></div> | | === Modes === |
| | {{MOS mode degrees}} |
| | |
| | === Proposed mode names === |
| | The Ad- mode names proposed by [[groundfault]] have the feature of matching up the middle 7 modes with the antidiatonic mode names in the generator arc. |
| | {{MOS modes |
| | | Table Headers= |
| | Super- Mode Names $ |
| | Ad- Mode Names (ground) $ |
| | | Table Entries= |
| | Superlydian $ |
| | TBD $ |
| | Superionian $ |
| | Adlocrian $ |
| | Supermixolydian $ |
| | Adphrygian $ |
| | Supercorinthian $ |
| | Adaeolian $ |
| | Superolympian $ |
| | Addorian $ |
| | Superdorian $ |
| | Admixolydian $ |
| | Superaeolian $ |
| | Adionian $ |
| | Superphrygian $ |
| | Adlydian $ |
| | Superlocrian $ |
| | TBD |
| | }} |
| | |
| | == Note names== |
| | 7L 2s, when viewed under Armodue theory, can be notated using Armodue notation. |
| | |
| | == Theory == |
| | === Temperament interpretations === |
| | [[Pelogic family#Mavila|Mavila]] is an important harmonic entropy minimum here, insofar as 670-680{{c}} can be considered a fifth. Other temperaments include septimal mavila, hornbostel, and trismegistus. |
| | |
| | == Scale tree == |
| | {{MOS tuning spectrum |
| | | 1/1 = Near exact-7/6 [[Pelogic_family#Armodue|Armodue]] |
| | | 4/3 = Near exact-20/17 [[Pentagoth]] |
| | | 7/5 = Near exact-5/4 [[Mavila]] |
| | | 3/2 = Near exact-13/11 Pentagoth |
| | | 7/4 = Near exact-7/4 [[Pelogic_family#Armodue|Armodue]] |
| | | 10/3 = Near exact-6/5 [[Mavila]] |
| | | 6/1 = [[Gravity]] ↓ |
| | }} |
| | |
| | [[Category:9-tone scales]] |
| | [[Category:Mavila]] |