7L 2s: Difference between revisions
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! colspan="3" | Generator | ! colspan="3" | Generator | ||
! | <span style="display: block; text-align: center;">'''Generator size (cents)'''</span> | ! | <span style="display: block; text-align: center;">'''Generator size (cents)'''</span> | ||
!<span style="display: block; text-align: center;">'''Generator size (sats)'''</span> | |||
! | Pentachord steps | ! | Pentachord steps | ||
! | Comments | ! | Comments | ||
| Line 32: | Line 33: | ||
| | | | | | ||
| | | | | | ||
| | 685. | | | 685.714… | ||
| | 1 1 1 0 | |914.286… | ||
| | <nowiki>1 1|1 0</nowiki> | |||
| | | | | | ||
|- | |- | ||
| Line 40: | Line 42: | ||
| | | | ||
|684 | |684 | ||
|14 14 14 1 | |912 | ||
|<nowiki>14 14|14 1</nowiki> | |||
| | | | ||
|- | |- | ||
| Line 46: | Line 49: | ||
| | | | ||
| | | | ||
|683. | |683.870… | ||
| | |911.827… | ||
|<nowiki>13 13|13 1</nowiki> | |||
| | | | ||
|- | |- | ||
| Line 53: | Line 57: | ||
| | 102\[[179edo|179]] | | | 102\[[179edo|179]] | ||
| | | | | | ||
| | 683. | | | 683.798… | ||
| | | |911.731… | ||
| | <nowiki>25 25|25 2</nowiki> | |||
| | Approximately 0.03 cents away from [[95/64]] | | | Approximately 0.03 cents away from [[95/64]] | ||
|- | |- | ||
| Line 60: | Line 65: | ||
| | | | ||
| | | | ||
|683. | |683.720… | ||
| | |911.527… | ||
|<nowiki>12 12|12 1</nowiki> | |||
| | | | ||
|- | |- | ||
| Line 67: | Line 73: | ||
|94\165 | |94\165 | ||
| | | | ||
|683. | |683.6̄3̄ | ||
| | |911.5̄1̄ | ||
|<nowiki>23 23|23 2</nowiki> | |||
| | | | ||
|- | |- | ||
| Line 74: | Line 81: | ||
| | | | ||
| | | | ||
|683. | |683.544… | ||
| | |911.392… | ||
|<nowiki>11 11|11 1</nowiki> | |||
| | | | ||
|- | |- | ||
| Line 81: | Line 89: | ||
|86\151 | |86\151 | ||
| | | | ||
|683. | |683.443… | ||
| | |911.258… | ||
|<nowiki>21 21|21 2</nowiki> | |||
| | | | ||
|- | |- | ||
| Line 88: | Line 97: | ||
| | | | ||
| | | | ||
|683. | |683.3̄ | ||
| | |911.1̄ | ||
|<nowiki>10 10|10 1</nowiki> | |||
| | | | ||
|- | |- | ||
| Line 95: | Line 105: | ||
|78\137 | |78\137 | ||
| | | | ||
|683. | |683.211… | ||
| | |910.948… | ||
|<nowiki>19 19|19 2</nowiki> | |||
| | | | ||
|- | |- | ||
| Line 102: | Line 113: | ||
| | | | ||
| | | | ||
|683. | |683.076… | ||
|9 9 9 1 | |910.769… | ||
|<nowiki>9 9|9 1</nowiki> | |||
| | | | ||
|- | |- | ||
| Line 109: | Line 121: | ||
|70\123 | |70\123 | ||
| | | | ||
|682. | |682.926… | ||
| | |910.569… | ||
|<nowiki>17 17|17 2</nowiki> | |||
| | | | ||
|- | |- | ||
| Line 116: | Line 129: | ||
| | | | | | ||
| | | | | | ||
| | 682. | | | 682.758… | ||
| | 8 8 8 1 | |910.344… | ||
| | <nowiki>8 8|8 1</nowiki> | |||
| | 2 generators equal 11/10, 6 equal 4/3, creating a hybrid Mavila/Porcupine scale with three perfect 5ths as well as the flat ones. | | | 2 generators equal 11/10, 6 equal 4/3, creating a hybrid Mavila/Porcupine scale with three perfect 5ths as well as the flat ones. | ||
|- | |- | ||
| Line 123: | Line 137: | ||
|62\109 | |62\109 | ||
| | | | ||
|682. | |682.568… | ||
| | |910.091… | ||
|<nowiki>15 15|15 2</nowiki> | |||
| | | | ||
|- | |- | ||
| Line 130: | Line 145: | ||
| | | | ||
| | | | ||
|682. | |682.352… | ||
|7 7 7 1 | |909.803… | ||
|<nowiki>7 7|7 1</nowiki> | |||
| | | | ||
|- | |- | ||
| Line 137: | Line 153: | ||
|54\95 | |54\95 | ||
| | | | ||
|682. | |682.105… | ||
| | |909.473… | ||
|<nowiki>13 13|13 2</nowiki> | |||
| | | | ||
|- | |- | ||
| Line 144: | Line 161: | ||
| | | | ||
| | | | ||
|681. | |681.8̄1̄ | ||
|6 6 6 1 | |909.0̄9̄ | ||
|<nowiki>6 6|6 1</nowiki> | |||
| | | | ||
|- | |- | ||
| Line 151: | Line 169: | ||
|46\81 | |46\81 | ||
| | | | ||
| | |681.4̄8̄1̄ | ||
| | |908.641… | ||
|<nowiki>11 11|11 2</nowiki> | |||
| | | | ||
|- | |- | ||
| Line 158: | Line 177: | ||
| | | | | | ||
| | | | | | ||
| | 681. | | | 681.0̄8̄1̄ | ||
| | 5 5 5 1 | |908.1̄0̄8̄ | ||
| | <nowiki>5 5|5 1</nowiki> | |||
| | | | | | ||
|- | |- | ||
| Line 165: | Line 185: | ||
|59\104 | |59\104 | ||
| | | | ||
|680. | |680.769… | ||
| | |907.692… | ||
|<nowiki>14 14|14 3</nowiki> | |||
| | | | ||
|- | |- | ||
| Line 172: | Line 193: | ||
|38\67 | |38\67 | ||
| | | | ||
|680. | |680.597… | ||
|9 9 9 2 | |907.462… | ||
|<nowiki>9 9|9 2</nowiki> | |||
| | | | ||
|- | |- | ||
| Line 179: | Line 201: | ||
|55\97 | |55\97 | ||
| | | | ||
|680. | |680.412… | ||
| | |907.216… | ||
|<nowiki>13 13|13 3</nowiki> | |||
| | | | ||
|- | |- | ||
| Line 187: | Line 210: | ||
| | | | | | ||
| | 680 | | | 680 | ||
| | 4 4 4 1 | |906.6̄ | ||
| | <nowiki>4 4|4 1</nowiki> | |||
| | L/s = 4 | | | L/s = 4 | ||
|- | |- | ||
| Line 193: | Line 217: | ||
|47\83 | |47\83 | ||
| | | | ||
|679. | |679.518… | ||
| | |906.024… | ||
|<nowiki>11 11|11 3</nowiki> | |||
| | | | ||
|- | |- | ||
| Line 200: | Line 225: | ||
| | 30\53 | | | 30\53 | ||
| | | | | | ||
| | 679. | | | 679.245… | ||
| | 7 7 7 2 | |905.660… | ||
| | <nowiki>7 7|7 2</nowiki> | |||
| | | | | | ||
|- | |- | ||
| Line 207: | Line 233: | ||
| | 43\76 | | | 43\76 | ||
| | | | | | ||
| | 678. | | | 678.947… | ||
| | | |905.263… | ||
| | <nowiki>10 10|10 3</nowiki> | |||
| | | | | | ||
|- | |- | ||
| Line 214: | Line 241: | ||
| | 56\99 | | | 56\99 | ||
| | | | | | ||
| | 678. | | | 678.7̄8̄ | ||
| | | |905.0̄5̄ | ||
| | <nowiki>13 13|13 4</nowiki> | |||
| | | | | | ||
|- | |- | ||
| Line 221: | Line 249: | ||
| | 69\122 | | | 69\122 | ||
| | | | | | ||
| | | | | 678.688… | ||
| | | |904.918… | ||
| | <nowiki>16 16|16 5</nowiki> | |||
| | | | | | ||
|- | |- | ||
| Line 228: | Line 257: | ||
| | 82\145 | | | 82\145 | ||
| | | | | | ||
| | 678. | | | 678.620… | ||
| | | |904.827… | ||
| | <nowiki>19 19|19 6</nowiki> | |||
| | | | | | ||
|- | |- | ||
| Line 235: | Line 265: | ||
| | 95\168 | | | 95\168 | ||
| | | | | | ||
| | 678. | | | 678.571… | ||
| | | |904.761… | ||
| | <nowiki>22 22|22 7</nowiki> | |||
| | | | | | ||
|- | |- | ||
| Line 242: | Line 273: | ||
| | | | | | ||
| | | | | | ||
| | 678. | | | 678.568… | ||
| | π π π 1 | |904.758… | ||
| | <nowiki>π π|π 1</nowiki> | |||
| | L/s = π | | | L/s = π | ||
|- | |- | ||
| Line 249: | Line 281: | ||
| | 108\191 | | | 108\191 | ||
| | | | | | ||
| | 678. | | | 678.534… | ||
| | | |904.712… | ||
| | <nowiki>25 25|25 8</nowiki> | |||
| | | | | | ||
|- | |- | ||
| Line 256: | Line 289: | ||
| | 121\214 | | | 121\214 | ||
| | | | | | ||
| | 678. | | | 678.504… | ||
| | | |904.672… | ||
| | 28;9 Superdiatonic 1/28-tone <span style="font-size: 12.8000001907349px;">(a slight exceeded representation of | | | <nowiki>28 28|28 9</nowiki> | ||
| | 28;9 Superdiatonic 1/28-tone <span style="font-size: 12.8000001907349px;">(a slight exceeded representation of the Pythagorean wolf Fifth)</span> | |||
|- | |- | ||
| | | | | | ||
| | 134\237 | | | 134\237 | ||
| | | | | | ||
| | 678. | | | 678.481… | ||
| | | |904.642… | ||
| | <nowiki>31 31|31 10</nowiki> | |||
| | HORNBOSTEL TEMPERAMENT <span style="font-size: 12.8000001907349px;">(1/31-tone; Optimum high size of Hornbostel '6th')</span> | | | HORNBOSTEL TEMPERAMENT <span style="font-size: 12.8000001907349px;">(1/31-tone; Optimum high size of Hornbostel '6th')</span> | ||
|- | |- | ||
| Line 270: | Line 305: | ||
| | | | | | ||
| | | | | | ||
| | 678. | | | 678.260… | ||
| | 3 3 3 1 | |904.347… | ||
| | <nowiki>3 3|3 1</nowiki> | |||
| | HORNBOSTEL TEMPERAMENT <span style="font-size: 12.8000001907349px;">(Armodue 1/3-tone)</span> | | | HORNBOSTEL TEMPERAMENT <span style="font-size: 12.8000001907349px;">(Armodue 1/3-tone)</span> | ||
|- | |- | ||
| Line 277: | Line 313: | ||
| | 126\223 | | | 126\223 | ||
| | | | | | ||
| | 678. | | | 678.026… | ||
| | | |904.035… | ||
| | <nowiki>29 29|29 10</nowiki> | |||
| | HORNBOSTEL TEMPERAMENT | | | HORNBOSTEL TEMPERAMENT | ||
| Line 287: | Line 324: | ||
| | | | | | ||
| | 678 | | | 678 | ||
| | | |904 | ||
| | <nowiki>26 26|26 9</nowiki> | |||
| | HORNBOSTEL (& [[Alexei_Stepanovich_Ogolevets|OGOLEVETS]]) TEMPERAMENT <span style="font-size: 12.8000001907349px;">(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')</span> | | | HORNBOSTEL (& [[Alexei_Stepanovich_Ogolevets|OGOLEVETS]]) TEMPERAMENT <span style="font-size: 12.8000001907349px;">(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')</span> | ||
|- | |- | ||
| Line 293: | Line 331: | ||
| | 100\177 | | | 100\177 | ||
| | | | | | ||
| | 677. | | | 677.966… | ||
| | | |903.954… | ||
| | <nowiki>23 23|23 8</nowiki> | |||
| | | | | | ||
|- | |- | ||
| Line 300: | Line 339: | ||
| | 87\154 | | | 87\154 | ||
| | | | | | ||
| | 677. | | | 677.922… | ||
| | | |903.896… | ||
| | <nowiki>20 20|20 7</nowiki> | |||
| | | | | | ||
|- | |- | ||
| Line 307: | Line 347: | ||
| | 74\131 | | | 74\131 | ||
| | | | | | ||
| | 677. | | | 677.862… | ||
| | | |903.816… | ||
| | <nowiki>17 17|17 6</nowiki> | |||
| | Armodue-Hornbostel 1/17-tone <span style="font-size: 12.8000001907349px;">(the Golden Tone System of Thorvald Kornerup and a temperament of the Alexei Ogolevets's list of temperaments)</span> | | | Armodue-Hornbostel 1/17-tone <span style="font-size: 12.8000001907349px;">(the Golden Tone System of Thorvald Kornerup and a temperament of the Alexei Ogolevets's list of temperaments)</span> | ||
|- | |- | ||
| Line 314: | Line 355: | ||
| | 61\108 | | | 61\108 | ||
| | | | | | ||
| | 677. | | | 677.7̄ | ||
| | | |903.7̄0̄3̄ | ||
| | <nowiki>14 14|14 5</nowiki> | |||
| | Armodue-Hornbostel 1/14-tone | | | Armodue-Hornbostel 1/14-tone | ||
|- | |- | ||
| Line 321: | Line 363: | ||
| | | | | | ||
| | 109\193 | | | 109\193 | ||
| | 677. | | | 677.720… | ||
| | | |903.626… | ||
| | <nowiki>25 25|25 9</nowiki> | |||
| | Armodue-Hornbostel 1/25-tone | | | Armodue-Hornbostel 1/25-tone | ||
|- | |- | ||
| Line 328: | Line 371: | ||
| | 48\85 | | | 48\85 | ||
| | | | | | ||
| | 677. | | | 677.647… | ||
| | | |903.529… | ||
| | <nowiki>11 11|11 4</nowiki> | |||
| | Armodue-Hornbostel 1/11-tone <span style="font-size: 12.8000001907349px;">(Optimum accuracy of Phi interval, the note '7')</span> | | | Armodue-Hornbostel 1/11-tone <span style="font-size: 12.8000001907349px;">(Optimum accuracy of Phi interval, the note '7')</span> | ||
|- | |- | ||
| Line 335: | Line 379: | ||
| | | | | | ||
| | | | | | ||
| | 677. | | | 677.561… | ||
| | e e e 1 | |903.415… | ||
| | <nowiki>e e|e 1</nowiki> | |||
| | L/s = e | | | L/s = e | ||
|- | |- | ||
| Line 342: | Line 387: | ||
| | 35\62 | | | 35\62 | ||
| | | | | | ||
| | 677. | | | 677.419… | ||
| | 8 8 8 3 | |903.225… | ||
| | <nowiki>8 8|8 3</nowiki> | |||
| | Armodue-Hornbostel 1/8-tone | | | Armodue-Hornbostel 1/8-tone | ||
|- | |- | ||
| Line 349: | Line 395: | ||
| | | | | | ||
| | 92\163 | | | 92\163 | ||
| | 677. | | | 677.300… | ||
| | | |903.067… | ||
| | <nowiki>21 21|21 8</nowiki> | |||
| | 21;8 Superdiatonic 1/21-tone | | | 21;8 Superdiatonic 1/21-tone | ||
|- | |- | ||
| Line 356: | Line 403: | ||
| | | | | | ||
| | | | | | ||
| | 677. | | | 677.280… | ||
| | <span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;">φ+1 φ+1 φ+1 1</span> | |903.040… | ||
| |<span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;"><nowiki>φ+1 φ+1|φ+1 1</nowiki></span> | |||
| | Split φ superdiatonic relation (34;13 - 55;21 - 89;34 - 144;55 - 233;89 - 377;144 - 610;233..) | | | Split φ superdiatonic relation (34;13 - 55;21 - 89;34 - 144;55 - 233;89 - 377;144 - 610;233..) | ||
|- | |- | ||
| Line 363: | Line 411: | ||
| | 57\101 | | | 57\101 | ||
| | | | | | ||
| | 677. | | | 677.227… | ||
| | | |902.970" | ||
| | <nowiki>13 13|13 5</nowiki> | |||
| | 13;5 Superdiatonic 1/13-tone | | | 13;5 Superdiatonic 1/13-tone | ||
|- | |- | ||
| Line 370: | Line 419: | ||
| | | | | | ||
| | | | | | ||
| | 676. | | | 676.923… | ||
| | 5 5 5 2 | |902.564… | ||
| | <nowiki>5 5|5 2</nowiki> | |||
| | Armodue-Hornbostel 1/5-tone <span style="font-size: 12.8000001907349px;">(Optimum low size of Hornbostel '6th')</span> | | | Armodue-Hornbostel 1/5-tone <span style="font-size: 12.8000001907349px;">(Optimum low size of Hornbostel '6th')</span> | ||
|- | |- | ||
| Line 377: | Line 427: | ||
| | 75\133 | | | 75\133 | ||
| | | | | | ||
| | 676. | | | 676.691… | ||
| | | |902.255… | ||
| | <nowiki>17 17|17 7</nowiki> | |||
| | 17;7 Superdiatonic 1/17-tone <span style="font-size: 12.8000001907349px;">(Note the very accuracy of the step 75 with the ratio 34/23 with an error of +0.011 Cents)</span> | | | 17;7 Superdiatonic 1/17-tone <span style="font-size: 12.8000001907349px;">(Note the very accuracy of the step 75 with the ratio 34/23 with an error of +0.011 Cents)</span> | ||
|- | |- | ||
| Line 384: | Line 435: | ||
| | 53\94 | | | 53\94 | ||
| | | | | | ||
| | 676. | | | 676.5̄9̄6̄ | ||
| | | |902.127… | ||
| | <nowiki>12 12|12 5</nowiki> | |||
| | | | | | ||
|- | |- | ||
| Line 391: | Line 443: | ||
| | 31\55 | | | 31\55 | ||
| | | | | | ||
| | 676. | | | 676.3̄6̄ | ||
| | 7 7 7 3 | |901.8̄1̄ | ||
| | <nowiki>7 7|7 3</nowiki> | |||
| | 7;3 Superdiatonic 1/7-tone | | | 7;3 Superdiatonic 1/7-tone | ||
|- | |- | ||
| Line 398: | Line 451: | ||
| | 40\71 | | | 40\71 | ||
| | | | | | ||
| | 676. | | | 676.056… | ||
| | 9 9 9 4 | |901.408… | ||
| | <nowiki>9 9|9 4</nowiki> | |||
| | 9;4 Superdiatonic 1/9-tone | | | 9;4 Superdiatonic 1/9-tone | ||
|- | |- | ||
| Line 405: | Line 459: | ||
| | 49\87 | | | 49\87 | ||
| | | | | | ||
| | 675. | | | 675.862… | ||
| | | |901.149… | ||
| | <nowiki>11 11|11 5</nowiki> | |||
| | 11;5 Superdiatonic 1/11-tone | | | 11;5 Superdiatonic 1/11-tone | ||
|- | |- | ||
| Line 412: | Line 467: | ||
| | 58\103 | | | 58\103 | ||
| | | | | | ||
| | 675. | | | 675.728… | ||
| | | |900.970… | ||
| | <nowiki>13 13|13 6</nowiki> | |||
| | 13;6 Superdiatonic 1/13-tone | | | 13;6 Superdiatonic 1/13-tone | ||
|- | |- | ||
| Line 420: | Line 476: | ||
| | | | | | ||
| | 675 | | | 675 | ||
| | 2 2 2 1 | |900 | ||
| | <nowiki>2 2|2 1</nowiki> | |||
| | <span style="display: block; text-align: left;">'''[BOUNDARY OF PROPRIETY: smaller generators are strictly proper]'''</span>ARMODUE ESADECAFONIA (or Goldsmith Temperament) | | | <span style="display: block; text-align: left;">'''[BOUNDARY OF PROPRIETY: smaller generators are strictly proper]'''</span>ARMODUE ESADECAFONIA (or Goldsmith Temperament) | ||
|- | |- | ||
| Line 426: | Line 483: | ||
| | 59\105 | | | 59\105 | ||
| | | | | | ||
| | 674. | | | 674.285… | ||
| | | |899.047… | ||
| | <nowiki>13 13|13 7</nowiki> | |||
| | Armodue-Mavila 1/13-tone | | | Armodue-Mavila 1/13-tone | ||
|- | |- | ||
| Line 433: | Line 491: | ||
| | 50\89 | | | 50\89 | ||
| | | | | | ||
| | 674. | | | 674.157… | ||
| | | |898.876… | ||
| | <nowiki>11 11|11 6</nowiki> | |||
| | Armodue-Mavila 1/11-tone | | | Armodue-Mavila 1/11-tone | ||
|- | |- | ||
| Line 440: | Line 499: | ||
| | 41\73 | | | 41\73 | ||
| | | | | | ||
| | 673. | | | 673.9̄7̄3̄ | ||
| | 9 9 9 5 | |898.630… | ||
| | <nowiki>9 9|9 5</nowiki> | |||
| | Armodue-Mavila 1/9-tone <span style="font-size: 12.8000001907349px;">(with an approximation of the Perfect Fifth + 1/5 Pyth.Comma [706.65 Cents]: 43\73 is 706.85 Cents)</span> | | | Armodue-Mavila 1/9-tone <span style="font-size: 12.8000001907349px;">(with an approximation of the Perfect Fifth + 1/5 Pyth.Comma [706.65 Cents]: 43\73 is 706.85 Cents)</span> | ||
|- | |- | ||
| Line 447: | Line 507: | ||
| | 32\57 | | | 32\57 | ||
| | | | | | ||
| | 673. | | | 673.684… | ||
| | 7 7 7 4 | |898.245… | ||
| | <nowiki>7 7|7 4</nowiki> | |||
| | Armodue-Mavila 1/7-tone <span style="font-size: 12.8000001907349px;">(the 'Commatic' version of Armodue, because its high accuracy of the [[7/4|7/4]] interval, the note '8')</span> | | | Armodue-Mavila 1/7-tone <span style="font-size: 12.8000001907349px;">(the 'Commatic' version of Armodue, because its high accuracy of the [[7/4|7/4]] interval, the note '8')</span> | ||
|- | |- | ||
| Line 454: | Line 515: | ||
| | | | | | ||
| | | | | | ||
| | 673. | | | 673.577… | ||
| | <span style="background-color: #ffffff;">√3 √3 √3 1</span> | |898.102… | ||
| |<span style="background-color: #ffffff;"><nowiki>√3 √3|√3 1</nowiki></span> | |||
| | | | | | ||
|- | |- | ||
| | | |||
| | | | | | ||
| | 55\98 | | | 55\98 | ||
| | 673.469… | |||
|897.959… | |||
| | <nowiki>12 12|12 7</nowiki> | |||
| | | | | | ||
| | |- | ||
| | | | | | ||
| | | | | | ||
| | 78\139 | | | 78\139 | ||
| | | | | 673.381… | ||
| | |897.841… | ||
| | | | | <nowiki>17 17|17 10</nowiki> | ||
| | Armodue-Mavila 1/17-tone | | | Armodue-Mavila 1/17-tone | ||
|- | |- | ||
| | | |||
| | | | | | ||
| | 101\180 | | | 101\180 | ||
| | 673.3̄ | |||
|897.7̄ | |||
| | <nowiki>22 22|22 13</nowiki> | |||
| | | | | | ||
| | |- | ||
| | | | | | ||
| | 23\41 | | | 23\41 | ||
| | | | | | ||
| | | | | 673.170… | ||
| | |897.560… | ||
| | 5 5 5 3 | | | <nowiki>5 5|5 3</nowiki> | ||
| | 5;3 Golden Armodue-Mavila 1/5-tone | | | 5;3 Golden Armodue-Mavila 1/5-tone | ||
|- | |- | ||
| | | |||
| | | | | | ||
| | 60\107 | | | 60\107 | ||
| | | | | 672.897… | ||
| | |897.196… | ||
| | | | | <nowiki>13 13|13 8</nowiki> | ||
| | 13;8 Golden Mavila 1/13-tone | | | 13;8 Golden Mavila 1/13-tone | ||
|- | |- | ||
| Line 496: | Line 563: | ||
| | | | | | ||
| | | | | | ||
| | 672. | | | 672.850… | ||
| | <span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;">φ φ φ 1</span> | |897.133… | ||
| |<span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;"><nowiki>φ φ|φ 1</nowiki></span> | |||
| | GOLDEN MAVILA (L/s = <span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;">φ)</span> | | | GOLDEN MAVILA (L/s = <span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;">φ)</span> | ||
|- | |- | ||
| Line 503: | Line 571: | ||
| | | | | | ||
| | 97\173 | | | 97\173 | ||
| | 672. | | | 672.832… | ||
| | | |897.109… | ||
| | <nowiki>21 21|21 13</nowiki> | |||
| | 21;13 Golden Mavila 1/21-tone <span style="font-size: 12.8000001907349px;">(Phi is the step 120\173)</span> | | | 21;13 Golden Mavila 1/21-tone <span style="font-size: 12.8000001907349px;">(Phi is the step 120\173)</span> | ||
|- | |- | ||
| Line 510: | Line 579: | ||
| | 37\66 | | | 37\66 | ||
| | | | | | ||
| | 672. | | | 672.7̄2̄ | ||
|896.9̄6̄ | |||
| | 8 8 8 5 | | | 8 8 8 5 | ||
| | 8;5 Golden Mavila 1/8-tone | | | 8;5 Golden Mavila 1/8-tone | ||
| Line 517: | Line 587: | ||
| | 51\91 | | | 51\91 | ||
| | | | | | ||
| | 672. | | | 672.527… | ||
| | | |896.703… | ||
| | <nowiki>11 11|11 7</nowiki> | |||
| | 11;7 Superdiatonic 1/11-tone | | | 11;7 Superdiatonic 1/11-tone | ||
|- | |- | ||
| Line 524: | Line 595: | ||
| | | | | | ||
| | | | | | ||
| | 672. | | | 672.522… | ||
| | π π π 2 | |869.697… | ||
| | <nowiki>π π|π 2</nowiki> | |||
| | | | | | ||
|- | |- | ||
| Line 531: | Line 603: | ||
| | | | | | ||
| | 116\207 | | | 116\207 | ||
| | 672. | | | 672.464… | ||
| | | |896.618… | ||
| | <nowiki>25 25|25 16</nowiki> | |||
| | 25;16 Superdiatonic 1/25-tone | | | 25;16 Superdiatonic 1/25-tone | ||
|- | |- | ||
| Line 538: | Line 611: | ||
| | 65\116 | | | 65\116 | ||
| | | | | | ||
| | 672. | | | 672.413… | ||
| | | |896.551… | ||
| | <nowiki>14 14|14 9</nowiki> | |||
| | 14;9 Superdiatonic 1/14-tone | | | 14;9 Superdiatonic 1/14-tone | ||
|- | |- | ||
| Line 545: | Line 619: | ||
| | 79\141 | | | 79\141 | ||
| | | | | | ||
| | 672. | | | 672.340… | ||
| | | |896.453… | ||
| | <nowiki>17 17|17 11</nowiki> | |||
| | 17;11 Superdiatonic 1/17-tone | | | 17;11 Superdiatonic 1/17-tone | ||
|- | |- | ||
| Line 552: | Line 627: | ||
| | 93\166 | | | 93\166 | ||
| | | | | | ||
| | 672. | | | 672.289… | ||
| | | |896.385… | ||
| | <nowiki>20 20|20 13</nowiki> | |||
| | | | | | ||
|- | |- | ||
| Line 559: | Line 635: | ||
| | 107\191 | | | 107\191 | ||
| | | | | | ||
| | 672. | | | 672.251… | ||
| | | |896.335… | ||
| | <nowiki>23 23|23 15</nowiki> | |||
| | | | | | ||
|- | |- | ||
| Line 566: | Line 643: | ||
| | 121\216 | | | 121\216 | ||
| | | | | | ||
| | 672. | | | 672.2̄ | ||
| | | |896.2̄9̄6̄ | ||
| | <nowiki>26 26|26 17</nowiki> | |||
| | 26;17 Superdiatonic 1/26-tone | | | 26;17 Superdiatonic 1/26-tone | ||
|- | |- | ||
| Line 573: | Line 651: | ||
| | 135\241 | | | 135\241 | ||
| | | | | | ||
| | 672. | | | 672.199… | ||
| | | |896.265… | ||
| | <nowiki>29 29|29 19</nowiki> | |||
| | 29;19 Superdiatonic 1/29-tone | | | 29;19 Superdiatonic 1/29-tone | ||
|- | |- | ||
| Line 581: | Line 660: | ||
| | | | | | ||
| | 672 | | | 672 | ||
| | 3 3 3 2 | |896 | ||
| | <nowiki>3 3|3 2</nowiki> | |||
| | 3;2 Golden Armodue-Mavila 1/3-tone | | | 3;2 Golden Armodue-Mavila 1/3-tone | ||
|- | |- | ||
| Line 587: | Line 667: | ||
| | 145\259 | | | 145\259 | ||
| | | | | | ||
| | 671. | | | 671.814… | ||
| | | |895.752… | ||
| | <nowiki>31 31|31 21</nowiki> | |||
| | 31;21 Superdiatonic 1/31-tone | | | 31;21 Superdiatonic 1/31-tone | ||
|- | |- | ||
| Line 594: | Line 675: | ||
| | 131\234 | | | 131\234 | ||
| | | | | | ||
| | 671. | | | 671.794… | ||
| | | |895.726… | ||
| | <nowiki>28 28|28 19</nowiki> | |||
| | 28;19 Superdiatonic 1/28-tone | | | 28;19 Superdiatonic 1/28-tone | ||
|- | |- | ||
| Line 601: | Line 683: | ||
| | 117\209 | | | 117\209 | ||
| | | | | | ||
| | 671. | | | 671.770… | ||
| | | |895.693… | ||
| | <nowiki>25 25|25 17</nowiki> | |||
| | | | | | ||
|- | |- | ||
| Line 608: | Line 691: | ||
| | 103\184 | | | 103\184 | ||
| | | | | | ||
| | 671. | | | 671.739… | ||
| | | |895.652… | ||
| | <nowiki>22 22|22 15</nowiki> | |||
| | | | | | ||
|- | |- | ||
| Line 615: | Line 699: | ||
| | 89\159 | | | 89\159 | ||
| | | | | | ||
| | 671. | | | 671.698… | ||
| | | |895.579… | ||
| | <nowiki>19 19|19 13</nowiki> | |||
| | | | | | ||
|- | |- | ||
| Line 622: | Line 707: | ||
| | 75\134 | | | 75\134 | ||
| | | | | | ||
| | 671. | | | 671.641… | ||
| | | |895.522… | ||
| | <nowiki>16 16|16 11</nowiki> | |||
| | | | | | ||
|- | |- | ||
| Line 629: | Line 715: | ||
| | 61\109 | | | 61\109 | ||
| | | | | | ||
| | 671. | | | 671.559… | ||
| | | |895.412… | ||
| | <nowiki>13 13|13 9</nowiki> | |||
| | | | | | ||
|- | |- | ||
| Line 636: | Line 723: | ||
| | 47\84 | | | 47\84 | ||
| | | | | | ||
| | 671. | | | 671.428… | ||
| | | |895.238… | ||
| | <nowiki>10 10|10 7</nowiki> | |||
| | | | | | ||
|- | |- | ||
| Line 643: | Line 731: | ||
| | | | ||
|80\143 | |80\143 | ||
|671. | |671.328… | ||
| | |895.104… | ||
|<nowiki>17 17|17 12</nowiki> | |||
| | | | ||
|- | |- | ||
| Line 650: | Line 739: | ||
| | 33\59 | | | 33\59 | ||
| | | | | | ||
| | 671. | | | 671.186… | ||
| | 7 7 7 5 | |894.915… | ||
| | <nowiki>7 7|7 5</nowiki> | |||
| | | | | | ||
|- | |- | ||
| Line 657: | Line 747: | ||
|52\93 | |52\93 | ||
| | | | ||
|670. | |670.967… | ||
| | |894.623… | ||
|<nowiki>11 11|11 8</nowiki> | |||
| | | | ||
|- | |- | ||
| Line 664: | Line 755: | ||
| | | | | | ||
| | | | | | ||
| | 670. | | | 670.588… | ||
| | 4 4 4 3 | |894.117… | ||
| | <nowiki>4 4|4 3</nowiki> | |||
| | | | | | ||
|- | |- | ||
| Line 671: | Line 763: | ||
|43\77 | |43\77 | ||
| | | | ||
|670. | |670.129… | ||
|9 9 9 7 | |893.506… | ||
|<nowiki>9 9|9 7</nowiki> | |||
| | | | ||
|- | |- | ||
| Line 678: | Line 771: | ||
| | | | | | ||
| | | | | | ||
| | 669. | | | 669.767… | ||
| | 5 5 5 4 | |893.023… | ||
| | <nowiki>5 5|5 4</nowiki> | |||
| | | | | | ||
|- | |- | ||
| Line 685: | Line 779: | ||
|53\95 | |53\95 | ||
| | | | ||
|669. | |669.473… | ||
| | |892.631… | ||
|<nowiki>11 11|11 9</nowiki> | |||
| | | | ||
|- | |- | ||
| Line 692: | Line 787: | ||
| | | | ||
| | | | ||
|669. | |669.230… | ||
|6 6 6 5 | |892.308… | ||
|<nowiki>6 6|6 5</nowiki> | |||
| | | | ||
|- | |- | ||
| Line 699: | Line 795: | ||
|63\113 | |63\113 | ||
| | | | ||
| | |669.026… | ||
| | |892.035… | ||
|<nowiki>13 13|13 11</nowiki> | |||
| | | | ||
|- | |- | ||
| Line 706: | Line 803: | ||
| | | | ||
| | | | ||
| | |668.852… | ||
|7 7 7 6 | |891.803… | ||
|<nowiki>7 7|7 6</nowiki> | |||
| | | | ||
|- | |- | ||
| Line 713: | Line 811: | ||
|73\131 | |73\131 | ||
| | | | ||
|668. | |668.702… | ||
| | |891.603… | ||
|<nowiki>15 15|15 13</nowiki> | |||
| | | | ||
|- | |- | ||
| Line 720: | Line 819: | ||
| | | | ||
| | | | ||
|668. | |668.571… | ||
|8 8 8 7 | |891.428… | ||
|<nowiki>8 8|8 7</nowiki> | |||
| | | | ||
|- | |- | ||
| Line 727: | Line 827: | ||
|83\149 | |83\149 | ||
| | | | ||
|668. | |668.456… | ||
| | |891.275… | ||
|<nowiki>17 17|17 15</nowiki> | |||
| | | | ||
|- | |- | ||
| Line 734: | Line 835: | ||
| | | | ||
| | | | ||
|668. | |668.354… | ||
|9 9 9 8 | |891.139… | ||
|<nowiki>9 9|9 8</nowiki> | |||
| | | | ||
|- | |- | ||
| Line 741: | Line 843: | ||
|93\167 | |93\167 | ||
| | | | ||
| | |668.236… | ||
| | |891.017… | ||
|<nowiki>19 19|19 17</nowiki> | |||
| | | | ||
|- | |- | ||
| Line 748: | Line 851: | ||
| | | | ||
| | | | ||
|668. | |668.1̄8̄ | ||
| | |890.9̄0̄ | ||
|<nowiki>10 10|10 9</nowiki> | |||
| | | | ||
|- | |- | ||
| Line 755: | Line 859: | ||
|103\185 | |103\185 | ||
| | | | ||
|668. | |668.1̄0̄8̄ | ||
| | |890.8̄1̄0̄ | ||
|<nowiki>21 21|21 9</nowiki> | |||
| | | | ||
|- | |- | ||
| Line 762: | Line 867: | ||
| | | | ||
| | | | ||
|668. | |668.041… | ||
| | |890.721… | ||
|<nowiki>11 11|11 10</nowiki> | |||
| | | | ||
|- | |- | ||
| Line 769: | Line 875: | ||
|113\203 | |113\203 | ||
| | | | ||
|667. | |667.980… | ||
| | |890.640… | ||
|<nowiki>23 23|23 21</nowiki> | |||
| | | | ||
|- | |- | ||
| Line 776: | Line 883: | ||
| | | | ||
| | | | ||
|667. | |667.924… | ||
| | |890.566… | ||
|<nowiki>12 12|12 11</nowiki> | |||
| | | | ||
|- | |- | ||
| Line 783: | Line 891: | ||
|123\221 | |123\221 | ||
| | | | ||
|667. | |667.873… | ||
| | |890.497… | ||
|<nowiki>25 25|25 23</nowiki> | |||
| | | | ||
|- | |- | ||
| Line 790: | Line 899: | ||
| | | | ||
| | | | ||
|667. | |667.826… | ||
| | |890.434… | ||
|<nowiki>13 13|13 12</nowiki> | |||
| | | | ||
|- | |- | ||
| Line 797: | Line 907: | ||
| | | | ||
| | | | ||
|667. | |667.741… | ||
|14 14 14 13 | |890.325… | ||
|<nowiki>14 14|14 13</nowiki> | |||
| | |||
|- | |||
|74\133 | |||
| | |||
| | |||
|667.669… | |||
|890.225… | |||
|<nowiki>15 15|15 14</nowiki> | |||
| | |||
|- | |||
|79\142 | |||
| | |||
| | |||
|667.605… | |||
|890.140… | |||
|<nowiki>16 16|16 15</nowiki> | |||
| | |||
|- | |||
|84\151 | |||
| | |||
| | |||
|667.549… | |||
|890.662… | |||
|<nowiki>17 17|17 16</nowiki> | |||
| | |||
|- | |||
|89\160 | |||
| | |||
| | |||
|667.5 | |||
|890 | |||
|<nowiki>18 18|18 17</nowiki> | |||
| | |||
|- | |||
|94\169 | |||
| | |||
| | |||
|667.455… | |||
|889.940… | |||
|<nowiki>19 19|19 18</nowiki> | |||
| | | | ||
|- | |- | ||
| Line 804: | Line 955: | ||
| | | | | | ||
| | | | | | ||
| | 666. | | | 666.6̄ | ||
|888.8̄ | |||
| | 1 1 1 1 | | | 1 1 1 1 | ||
| | | | | | ||