7L 2s: Difference between revisions
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Fleshed out lead section; added intervals, note names, and theory#temperament interpretations sections |
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{{MOS intro}} | {{MOS intro}} | ||
== Name == | |||
Scales of this form are strongly associated with [[Armodue theory]], as applied to septimal mavila and Hornbostel temperaments. | |||
==Name== | |||
The [[TAMNAMS]] name for this pattern is '''superdiatonic''', in reference to the diatonic mos (5L 2s) having two additional large steps added, or '''armotonic''', in reference to Armodue theory. | The [[TAMNAMS]] name for this pattern is '''superdiatonic''', in reference to the diatonic mos (5L 2s) having two additional large steps added, or '''armotonic''', in reference to Armodue theory. | ||
== | ==Intervals== | ||
:''This article assumes [[TAMNAMS]] for naming step ratios, mossteps, and mosdegrees.'' | |||
{{MOS intervals|MOS Prefix=arm}} | |||
== 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 678¢ can be considered a fifth. Other temperaments include septimal mavila and Hornbostel. | |||
== Scale tree == | ==Modes== | ||
{{MOS modes|Mode Names=Superlydian; Superionian; Supermixolidyan; Supercorintihan; Superolympian; Superdorian; Superaeolian; Superphrygian; Superlocrian}} | |||
==Scale tree== | |||
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. | 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. | ||
Generator ranges: | Generator ranges: | ||
* Chroma-positive generator: 666.6667 cents (5\9) to 685.7143 cents (4\7) | *Chroma-positive generator: 666.6667 cents (5\9) to 685.7143 cents (4\7) | ||
* Chroma-negative generator: 514.2857 cents (3\7) to 533.3333 cents (4\9) | * Chroma-negative generator: 514.2857 cents (3\7) to 533.3333 cents (4\9) | ||
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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> | ||
! | Pentachord steps | ! | Pentachord steps | ||
! | Comments | ! |Comments | ||
|- | |- | ||
| | 4\[[7edo|7]] | | |4\[[7edo|7]] | ||
| | | | | | ||
| | | | | | ||
| | 685.714 | | |685.714 | ||
| | 1 1 1 0 | | |1 1 1 0 | ||
| | | | | | ||
|- | |- | ||
|53\93 | |53\93 | ||
| | | | ||
| | | | ||
|683.871 | | 683.871 | ||
|13 13 13 1 | |13 13 13 1 | ||
| | | | ||
|- | |- | ||
| | | | | | ||
| | 102\[[179edo|179]] | | |102\[[179edo|179]] | ||
| | | | | | ||
| | 683.798 | | | 683.798 | ||
| | 25 25 25 2 | | |25 25 25 2 | ||
| | Approximately 0.03 cents away from [[95/64]] | | | Approximately 0.03 cents away from [[95/64]] | ||
|- | |- | ||
|49\86 | | 49\86 | ||
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|86\151 | |86\151 | ||
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|683.444 | | 683.444 | ||
|21 21 21 2 | |21 21 21 2 | ||
| | | | ||
|- | |- | ||
|41\72 | | 41\72 | ||
| | | | ||
| | | | ||
|683.333 | |683.333 | ||
|10 10 10 1 | | 10 10 10 1 | ||
| | | | ||
|- | |- | ||
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|683.077 | |683.077 | ||
|9 9 9 1 | | 9 9 9 1 | ||
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|- | |- | ||
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|- | |- | ||
| | 33\[[58edo|58]] | | |33\[[58edo|58]] | ||
| | | | | | ||
| | | | | | ||
| | 682.758 | | |682.758 | ||
| | 8 8 8 1 | | |8 8 8 1 | ||
| | 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. | ||
|- | |- | ||
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|682.105 | |682.105 | ||
|13 13 13 2 | | 13 13 13 2 | ||
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|- | |- | ||
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| | 21\37 | | | 21\37 | ||
| | | | | | ||
| | | | | | ||
| | 681.081 | | |681.081 | ||
| | 5 5 5 1 | | |5 5 5 1 | ||
| | | | | | ||
|- | |- | ||
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|- | |- | ||
| | 17\30 | | |17\30 | ||
| | | | | | ||
| | | | | | ||
| | 680 | | |680 | ||
| | 4 4 4 1 | | |4 4 4 1 | ||
| | L/s = 4 | | |L/s = 4 | ||
|- | |- | ||
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|- | |- | ||
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| | 30\53 | | |30\53 | ||
| | | | | | ||
| | 679.245 | | |679.245 | ||
| | 7 7 7 2 | | |7 7 7 2 | ||
| | | | | | ||
|- | |- | ||
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| | 43\76 | | |43\76 | ||
| | | | | | ||
| | 678.947 | | |678.947 | ||
| | 10 10 10 3 | | |10 10 10 3 | ||
| | | | | | ||
|- | |- | ||
| | | | | | ||
| | 56\99 | | |56\99 | ||
| | | | | | ||
| | 678.788 | | | 678.788 | ||
| | 13 13 13 4 | | |13 13 13 4 | ||
| | | | | | ||
|- | |- | ||
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| | 69\122 | | | 69\122 | ||
| | | | | | ||
| | 678.6885 | | |678.6885 | ||
| | 16 16 16 5 | | |16 16 16 5 | ||
| | | | | | ||
|- | |- | ||
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| | 82\145 | | |82\145 | ||
| | | | | | ||
| | 678.621 | | |678.621 | ||
| | 19 19 19 6 | | | 19 19 19 6 | ||
| | | | | | ||
|- | |- | ||
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| | 95\168 | | | 95\168 | ||
| | | | | | ||
| | 678.571 | | |678.571 | ||
| | 22 22 22 7 | | | 22 22 22 7 | ||
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|- | |- | ||
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| | | | | | ||
| | | | | | ||
| | 678.569 | | |678.569 | ||
| | π π π 1 | | |π π π 1 | ||
| | L/s = π | | |L/s = π | ||
|- | |- | ||
| | | | | | ||
| | 108\191 | | |108\191 | ||
| | | | | | ||
| | 678.534 | | |678.534 | ||
| | 25 25 25 8 | | |25 25 25 8 | ||
| | | | | | ||
|- | |- | ||
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| | 121\214 | | |121\214 | ||
| | | | | | ||
| | 678.505 | | |678.505 | ||
| | 28 28 28 9 | | |28 28 28 9 | ||
| | 28;9 Superdiatonic 1/28-tone <span style="font-size: 12.8000001907349px;">(a slight exceeded representation of the ratio 262144/177147, the Pythagorean wolf Fifth)</span> | | | 28;9 Superdiatonic 1/28-tone <span style="font-size: 12.8000001907349px;">(a slight exceeded representation of the ratio 262144/177147, the Pythagorean wolf Fifth)</span> | ||
|- | |- | ||
| | | | | | ||
| | 134\237 | | |134\237 | ||
| | | | | | ||
| | 678.481 | | |678.481 | ||
| | 31 31 31 10 | | |31 31 31 10 | ||
| | 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> | ||
|- | |- | ||
| | 13\23 | | |13\23 | ||
| | | | | | ||
| | | | | | ||
| | 678.261 | | | 678.261 | ||
| | 3 3 3 1 | | |3 3 3 1 | ||
| | 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> | ||
|- | |- | ||
| | | | | | ||
| | 126\223 | | |126\223 | ||
| | | | | | ||
| | 678.027 | | |678.027 | ||
| | 29 29 29 10 | | |29 29 29 10 | ||
| | HORNBOSTEL TEMPERAMENT | | |HORNBOSTEL TEMPERAMENT | ||
<span style="font-size: 12.8000001907349px;">(Armodue 1/29-tone)</span> | <span style="font-size: 12.8000001907349px;">(Armodue 1/29-tone)</span> | ||
|- | |- | ||
| | | | | | ||
| | 113\200 | | |113\200 | ||
| | | | | | ||
| | 678 | | |678 | ||
| | 26 26 26 9 | | |26 26 26 9 | ||
| | 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> | ||
|- | |- | ||
| | | | | | ||
| | 100\177 | | |100\177 | ||
| | | | | | ||
| | 677.966 | | |677.966 | ||
| | 23 23 23 8 | | | 23 23 23 8 | ||
| | | | | | ||
|- | |- | ||
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| | 87\154 | | |87\154 | ||
| | | | | | ||
| | 677.922 | | |677.922 | ||
| | 20 20 20 7 | | |20 20 20 7 | ||
| | | | | | ||
|- | |- | ||
| | | | | | ||
| | 74\131 | | | 74\131 | ||
| | | | | | ||
| | 677.863 | | | 677.863 | ||
| | 17 17 17 6 | | |17 17 17 6 | ||
| | 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> | ||
|- | |- | ||
| | | | | | ||
| | 61\108 | | |61\108 | ||
| | | | | | ||
| | 677.778 | | |677.778 | ||
| | 14 14 14 5 | | |14 14 14 5 | ||
| | Armodue-Hornbostel 1/14-tone | | |Armodue-Hornbostel 1/14-tone | ||
|- | |- | ||
| | | | | | ||
| | | | | | ||
| | 109\193 | | | 109\193 | ||
| | 677.720 | | |677.720 | ||
| | 25 25 25 9 | | |25 25 25 9 | ||
| | Armodue-Hornbostel 1/25-tone | | |Armodue-Hornbostel 1/25-tone | ||
|- | |- | ||
| | | | | | ||
| | 48\85 | | |48\85 | ||
| | | | | | ||
| | 677.647 | | |677.647 | ||
| | 11 11 11 4 | | | 11 11 11 4 | ||
| | 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> | ||
|- | |- | ||
| | | | | | ||
| | | | | | ||
| | | | | | ||
| | 677.562 | | | 677.562 | ||
| | e e e 1 | | |e e e 1 | ||
| | L/s = e | | |L/s = e | ||
|- | |- | ||
| | | | | | ||
| | 35\62 | | |35\62 | ||
| | | | | | ||
| | 677.419 | | |677.419 | ||
| | 8 8 8 3 | | | 8 8 8 3 | ||
| | Armodue-Hornbostel 1/8-tone | | | Armodue-Hornbostel 1/8-tone | ||
|- | |- | ||
| | | | | | ||
| | | | | | ||
| | 92\163 | | |92\163 | ||
| | 677.301 | | | 677.301 | ||
| | 21 21 21 8 | | |21 21 21 8 | ||
| | 21;8 Superdiatonic 1/21-tone | | | 21;8 Superdiatonic 1/21-tone | ||
|- | |- | ||
| | | | | | ||
| | | | | | ||
| | | | | | ||
| | 677.28 | | |677.28 | ||
| | <span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;">φ+1 φ+1 φ+1 1</span> | | |<span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;">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..) | | |Split φ superdiatonic relation (34;13 - 55;21 - 89;34 - 144;55 - 233;89 - 377;144 - 610;233..) | ||
|- | |- | ||
| | | | | | ||
| | 57\101 | | | 57\101 | ||
| | | | | | ||
| | 677.228 | | |677.228 | ||
| | 13 13 13 5 | | |13 13 13 5 | ||
| | 13;5 Superdiatonic 1/13-tone | | |13;5 Superdiatonic 1/13-tone | ||
|- | |- | ||
| | 22\39 | | |22\39 | ||
| | | | | | ||
| | | | | | ||
| | 676.923 | | |676.923 | ||
| | 5 5 5 2 | | | 5 5 5 2 | ||
| | 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> | ||
|- | |- | ||
| | | | | | ||
| | 75\133 | | |75\133 | ||
| | | | | | ||
| | 676.692 | | |676.692 | ||
| | 17 17 17 7 | | |17 17 17 7 | ||
| | 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> | ||
|- | |- | ||
| | | | | | ||
| | 53\94 | | |53\94 | ||
| | | | | | ||
| | 676.596 | | | 676.596 | ||
| | 12 12 12 5 | | |12 12 12 5 | ||
| | | | | | ||
|- | |- | ||
| | | | | | ||
| | 31\55 | | |31\55 | ||
| | | | | | ||
| | 676.364 | | |676.364 | ||
| | 7 7 7 3 | | |7 7 7 3 | ||
| | 7;3 Superdiatonic 1/7-tone | | |7;3 Superdiatonic 1/7-tone | ||
|- | |- | ||
| | | | | | ||
| | 40\71 | | |40\71 | ||
| | | | | | ||
| | 676.056 | | |676.056 | ||
| | 9 9 9 4 | | |9 9 9 4 | ||
| | 9;4 Superdiatonic 1/9-tone | | |9;4 Superdiatonic 1/9-tone | ||
|- | |- | ||
| | | | | | ||
| | 49\87 | | | 49\87 | ||
| | | | | | ||
| | 675.862 | | | 675.862 | ||
| | 11 11 11 5 | | |11 11 11 5 | ||
| | 11;5 Superdiatonic 1/11-tone | | |11;5 Superdiatonic 1/11-tone | ||
|- | |- | ||
| | | | | | ||
| | 58\103 | | |58\103 | ||
| | | | | | ||
| | 675.728 | | |675.728 | ||
| | 13 13 13 6 | | |13 13 13 6 | ||
| | 13;6 Superdiatonic 1/13-tone | | |13;6 Superdiatonic 1/13-tone | ||
|- | |- | ||
| | 9\16 | | |9\16 | ||
| | | | | | ||
| | | | | | ||
| | 675 | | |675 | ||
| | 2 2 2 1 | | |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) | | |<span style="display: block; text-align: left;">'''[BOUNDARY OF PROPRIETY: smaller generators are strictly proper]'''</span>ARMODUE ESADECAFONIA (or Goldsmith Temperament) | ||
|- | |- | ||
| | | | | | ||
| | 59\105 | | |59\105 | ||
| | | | | | ||
| | 674.286 | | |674.286 | ||
| | 13 13 13 7 | | | 13 13 13 7 | ||
| | Armodue-Mavila 1/13-tone | | |Armodue-Mavila 1/13-tone | ||
|- | |- | ||
| | | | | | ||
| | 50\89 | | |50\89 | ||
| | | | | | ||
| | 674.157 | | |674.157 | ||
| | 11 11 11 6 | | |11 11 11 6 | ||
| | Armodue-Mavila 1/11-tone | | |Armodue-Mavila 1/11-tone | ||
|- | |- | ||
| | | | | | ||
| | 41\73 | | | 41\73 | ||
| | | | | | ||
| | 673.973 | | |673.973 | ||
| | 9 9 9 5 | | |9 9 9 5 | ||
| | 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> | ||
|- | |- | ||
| | | | | | ||
| | 32\57 | | | 32\57 | ||
| | | | | | ||
| | 673.684 | | | 673.684 | ||
| | 7 7 7 4 | | |7 7 7 4 | ||
| | Armodue-Mavila 1/7-tone <span style="font-size: 12.8000001907349px;">(the 'Commatic' version of Armodue, because its high accuracy of the [[ | | |Armodue-Mavila 1/7-tone <span style="font-size: 12.8000001907349px;">(the 'Commatic' version of Armodue, because its high accuracy of the [[7/4]] interval, the note '8')</span> | ||
|- | |- | ||
| | | | | | ||
| | | | | | ||
| | | | | | ||
| | 673.577 | | | 673.577 | ||
| | <span style="background-color: #ffffff;">√3 √3 √3 1</span> | | |<span style="background-color: #ffffff;">√3 √3 √3 1</span> | ||
| | | | | | ||
|- | |- | ||
| | | | | | ||
| | 55\98 | | |55\98 | ||
| | | | | | ||
| | 673.469 | | |673.469 | ||
| | 12 12 12 7 | | |12 12 12 7 | ||
| | | | | | ||
|- | |- | ||
| | | | | | ||
| | 78\139 | | |78\139 | ||
| | | | | | ||
| | 673.381 | | |673.381 | ||
| | 17 17 17 10 | | |17 17 17 10 | ||
| | Armodue-Mavila 1/17-tone | | |Armodue-Mavila 1/17-tone | ||
|- | |- | ||
| | | | | | ||
| | 101\180 | | |101\180 | ||
| | | | | | ||
| | 673.333 | | |673.333 | ||
| | 22 22 22 13 | | | 22 22 22 13 | ||
| | | | | | ||
|- | |- | ||
| | 23\41 | | |23\41 | ||
| | | | | | ||
| | | | | | ||
| | 673.171 | | |673.171 | ||
| | 5 5 5 3 | | |5 5 5 3 | ||
| | 5;3 Golden Armodue-Mavila 1/5-tone | | | 5;3 Golden Armodue-Mavila 1/5-tone | ||
|- | |- | ||
| | | | | | ||
| | 60\107 | | |60\107 | ||
| | | | | | ||
| | 672.897 | | |672.897 | ||
| | 13 13 13 8 | | |13 13 13 8 | ||
| | 13;8 Golden Mavila 1/13-tone | | |13;8 Golden Mavila 1/13-tone | ||
|- | |- | ||
| | | | | | ||
| | | | | | ||
| | | | | | ||
| | 672.85 | | |672.85 | ||
| | <span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;">φ φ φ 1</span> | | |<span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;">φ φ φ 1</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> | ||
|- | |- | ||
| | | | | | ||
| | | | | | ||
| | 97\173 | | |97\173 | ||
| | 672.832 | | |672.832 | ||
| | 21 21 21 13 | | |21 21 21 13 | ||
| | 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> | ||
|- | |- | ||
| | | | | | ||
| | 37\66 | | |37\66 | ||
| | | | | | ||
| | 672.727 | | |672.727 | ||
| | 8 8 8 5 | | |8 8 8 5 | ||
| | 8;5 Golden Mavila 1/8-tone | | | 8;5 Golden Mavila 1/8-tone | ||
|- | |- | ||
| | | | | | ||
| | 51\91 | | |51\91 | ||
| | | | | | ||
| | 672.527 | | | 672.527 | ||
| | 11 11 11 7 | | |11 11 11 7 | ||
| | 11;7 Superdiatonic 1/11-tone | | |11;7 Superdiatonic 1/11-tone | ||
|- | |- | ||
| | | | | | ||
| | | | | | ||
| | | | | | ||
| | 672.523 | | |672.523 | ||
| | π π π 2 | | |π π π 2 | ||
| | | | | | ||
|- | |- | ||
| | | | | | ||
| | | | | | ||
| | 116\207 | | |116\207 | ||
| | 672.464 | | |672.464 | ||
| | 25 25 25 16 | | | 25 25 25 16 | ||
| | 25;16 Superdiatonic 1/25-tone | | |25;16 Superdiatonic 1/25-tone | ||
|- | |- | ||
| | | | | | ||
| | 65\116 | | |65\116 | ||
| | | | | | ||
| | 672.414 | | |672.414 | ||
| | 14 14 14 9 | | |14 14 14 9 | ||
| | 14;9 Superdiatonic 1/14-tone | | |14;9 Superdiatonic 1/14-tone | ||
|- | |- | ||
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| | 79\141 | | |79\141 | ||
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| | 672.340 | | |672.340 | ||
| | 17 17 17 11 | | |17 17 17 11 | ||
| | 17;11 Superdiatonic 1/17-tone | | |17;11 Superdiatonic 1/17-tone | ||
|- | |- | ||
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| | 93\166 | | |93\166 | ||
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| | 672.289 | | |672.289 | ||
| | 20 20 20 13 | | |20 20 20 13 | ||
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|- | |- | ||
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| | 107\191 | | |107\191 | ||
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| | 672.251 | | |672.251 | ||
| | 23 23 23 15 | | |23 23 23 15 | ||
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|- | |- | ||
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| | 121\216 | | |121\216 | ||
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| | 672.222 | | |672.222 | ||
| | 26 26 26 17 | | |26 26 26 17 | ||
| | 26;17 Superdiatonic 1/26-tone | | | 26;17 Superdiatonic 1/26-tone | ||
|- | |- | ||
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| | 135\241 | | |135\241 | ||
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| | 672.199 | | |672.199 | ||
| | 29 29 29 19 | | |29 29 29 19 | ||
| | 29;19 Superdiatonic 1/29-tone | | |29;19 Superdiatonic 1/29-tone | ||
|- | |- | ||
| | 14\25 | | |14\25 | ||
| | | | | | ||
| | | | | | ||
| | 672 | | |672 | ||
| | 3 3 3 2 | | |3 3 3 2 | ||
| | 3;2 Golden Armodue-Mavila 1/3-tone | | |3;2 Golden Armodue-Mavila 1/3-tone | ||
|- | |- | ||
| | | | | | ||
| | 145\259 | | |145\259 | ||
| | | | | | ||
| | 671.815 | | |671.815 | ||
| | 31 31 31 21 | | |31 31 31 21 | ||
| | 31;21 Superdiatonic 1/31-tone | | |31;21 Superdiatonic 1/31-tone | ||
|- | |- | ||
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| | 131\234 | | |131\234 | ||
| | | | | | ||
| | 671.795 | | |671.795 | ||
| | 28 28 28 19 | | |28 28 28 19 | ||
| | 28;19 Superdiatonic 1/28-tone | | |28;19 Superdiatonic 1/28-tone | ||
|- | |- | ||
| | | | | | ||
| | 117\209 | | | 117\209 | ||
| | | | | | ||
| | 671.770 | | |671.770 | ||
| | 25 25 25 17 | | |25 25 25 17 | ||
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|- | |- | ||
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| | 103\184 | | |103\184 | ||
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| | 671.739 | | |671.739 | ||
| | 22 22 22 15 | | |22 22 22 15 | ||
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|- | |- | ||
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| | 89\159 | | |89\159 | ||
| | | | | | ||
| | 671.698 | | |671.698 | ||
| | 19 19 19 13 | | |19 19 19 13 | ||
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|- | |- | ||
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| | 75\134 | | |75\134 | ||
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| | 671.642 | | | 671.642 | ||
| | 16 16 16 11 | | |16 16 16 11 | ||
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|- | |- | ||
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| | 61\109 | | |61\109 | ||
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| | 671.560 | | | 671.560 | ||
| | 13 13 13 9 | | | 13 13 13 9 | ||
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|- | |- | ||
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| | 47\84 | | |47\84 | ||
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| | 671.429 | | |671.429 | ||
| | 10 10 10 7 | | |10 10 10 7 | ||
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|- | |- | ||
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|80\143 | |80\143 | ||
|671.329 | | 671.329 | ||
|17 17 17 12 | |17 17 17 12 | ||
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| | 33\59 | | |33\59 | ||
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| | 671.186 | | |671.186 | ||
| | 7 7 7 5 | | | 7 7 7 5 | ||
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|- | |- | ||
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Line 669: | Line 667: | ||
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|670.968 | |670.968 | ||
|11 11 11 8 | | 11 11 11 8 | ||
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| | 19\34 | | |19\34 | ||
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| | 670.588 | | |670.588 | ||
| | 4 4 4 3 | | |4 4 4 3 | ||
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|43\77 | | 43\77 | ||
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|670.13 | |670.13 | ||
Line 687: | Line 685: | ||
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| | 24\43 | | | 24\43 | ||
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| | 669.767 | | |669.767 | ||
| | 5 5 5 4 | | |5 5 5 4 | ||
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|- | |- | ||
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|53\95 | |53\95 | ||
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|669.474 | | 669.474 | ||
|11 11 11 9 | |11 11 11 9 | ||
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Line 704: | Line 702: | ||
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|669.231 | |669.231 | ||
|6 6 6 5 | | 6 6 6 5 | ||
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Line 722: | Line 720: | ||
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|73\131 | | 73\131 | ||
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|668.702 | |668.702 | ||
Line 728: | Line 726: | ||
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|39\70 | | 39\70 | ||
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Line 738: | Line 736: | ||
|83\149 | |83\149 | ||
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|668.456 | | 668.456 | ||
|17 17 17 15 | |17 17 17 15 | ||
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|- | |- | ||
|44\79 | | 44\79 | ||
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|668.354 | | 668.354 | ||
|9 9 9 8 | |9 9 9 8 | ||
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Line 760: | Line 758: | ||
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|668.182 | |668.182 | ||
|10 10 10 9 | | 10 10 10 9 | ||
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|- | |- | ||
Line 773: | Line 771: | ||
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|668.041 | | 668.041 | ||
|11 11 11 10 | |11 11 11 10 | ||
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|- | |- | ||
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|113\203 | | 113\203 | ||
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|667.98 | |667.98 | ||
Line 794: | Line 792: | ||
|123\221 | |123\221 | ||
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|667.873 | | 667.873 | ||
|25 25 25 23 | |25 25 25 23 | ||
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Line 805: | Line 803: | ||
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|- | |- | ||
| | 5\[[9edo|9]] | | |5\[[9edo|9]] | ||
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| | | | | | ||
| | 666.667 | | | 666.667 | ||
| | 1 1 1 1 | | |1 1 1 1 | ||
| | | | | | ||
|} | |} | ||