User:Moremajorthanmajor/7L 2s (major tenth-equivalent): Difference between revisions

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VisualWikitext
Line 32: Line 32:
! colspan="3" |Generator
! colspan="3" |Generator
! |Generator size
! |Generator size
! |ed16\12 (→ed4\3)
!L
!L
!s
!s
Line 41: Line 40:
| |
| |
| |<u>960</u>
| |<u>960</u>
| |''914.285…''
|1
|1
|0
|0
Line 50: Line 48:
|
|
|<u>937.5</u>
|<u>937.5</u>
|''909.{{Overline|09}}''
|6
|6
|1
|1
Line 59: Line 56:
|
|
|<u>936.263…</u>
|<u>936.263…</u>
|''908.8''
|17
|17
|3
|3
Line 68: Line 64:
|
|
|<u>935.593…</u>
|<u>935.593…</u>
|''908.641…''
|11
|11
|2
|2
Line 77: Line 72:
|
|
|<u>934.883…</u>
|<u>934.883…</u>
|''908.474…''
|16
|16
|3
|3
Line 86: Line 80:
| |
| |
| |<u>933.{{Overline|3}}</u>
| |<u>933.{{Overline|3}}</u>
|''908.{{Overline|108}}''
|5
|5
|1
|1
Line 95: Line 88:
|
|
|<u>932.038…</u>
|<u>932.038…</u>
|''907.801…''
|19
|19
|4
|4
Line 104: Line 96:
|
|
|<u>931.579…</u>
|<u>931.579…</u>
|''907.692…''
|14
|14
|3
|3
Line 113: Line 104:
|
|
|<u>930.612…</u>
|<u>930.612…</u>
|''907.462…''
|9
|9
|2
|2
Line 122: Line 112:
|
|
|<u>929.577…</u>
|<u>929.577…</u>
|''907.216…''
|13
|13
|3
|3
Line 131: Line 120:
|
|
|<u>929.032…</u>
|<u>929.032…</u>
|''907.086…''
|17
|17
|4
|4
Line 140: Line 128:
|
|
|<u>928.695…</u>
|<u>928.695…</u>
|''907.006…''
|21
|21
|5
|5
Line 149: Line 136:
| |
| |
| |<u>927.{{Overline|27}}</u>
| |<u>927.{{Overline|27}}</u>
|''906.{{Overline|6}}''
|4
|4
|1
|1
Line 158: Line 144:
|
|
|<u>926.174…</u>
|<u>926.174…</u>
|''906.403…''
|27
|27
|7
|7
Line 167: Line 152:
|
|
|<u>925.984…</u>
|<u>925.984…</u>
|''906.358…''
|23
|23
|6
|6
Line 176: Line 160:
|
|
|<u>925.714…</u>
|<u>925.714…</u>
|''906.293…''
|19
|19
|5
|5
Line 185: Line 168:
|
|
|<u>925.301…</u>
|<u>925.301…</u>
|''906.194…''
|15
|15
|4
|4
Line 194: Line 176:
|
|
|<u>924.591…</u>
|<u>924.591…</u>
|''906.024…''
|11
|11
|3
|3
Line 203: Line 184:
| |
| |
| |<u>923.076…</u>
| |<u>923.076…</u>
|''905.660…''
|7
|7
|2
|2
Line 212: Line 192:
|73\129
|73\129
|<u>922.105…</u>
|<u>922.105…</u>
|''905.426…''
|17
|17
|5
|5
Line 221: Line 200:
| |
| |
| |<u>921.428…</u>
| |<u>921.428…</u>
|''905.263…''
|10
|10
|3
|3
Line 230: Line 208:
| |
| |
| |<u>920.547…</u>
| |<u>920.547…</u>
|''905.{{Overline|05}}''
|13
|13
|4
|4
Line 239: Line 216:
| |
| |
| |<u>920</u>
| |<u>920</u>
|''904.918…''
|16
|16
|5
|5
Line 248: Line 224:
| |
| |
| |<u>919.626…</u>
| |<u>919.626…</u>
|''904.827…''
|19
|19
|6
|6
Line 257: Line 232:
| |
| |
| |<u>919.354…</u>
| |<u>919.354…</u>
|''904.761…''
|22
|22
|7
|7
Line 266: Line 240:
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| |<u>919.340…</u>
| |<u>919.340…</u>
|''904.758…''
|
|
|
|
Line 275: Line 248:
| |
| |
| |<u>919.148…</u>
| |<u>919.148…</u>
|''904.712…''
|25
|25
|8
|8
Line 284: Line 256:
| |
| |
| |<u>918.987…</u>
| |<u>918.987…</u>
|''904.672…''
|28
|28
|9
|9
Line 293: Line 264:
| |
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| |<u>918.857…</u>
| |<u>918.857…</u>
|''904.642…''
|31
|31
|10
|10
Line 302: Line 272:
| |
| |
| |<u>917.647…</u>
| |<u>917.647…</u>
|''904.347…''
|3
|3
|1
|1
Line 311: Line 280:
| |
| |
| |<u>916.030…</u>
| |<u>916.030…</u>
|''903.954…''
|23
|23
|8
|8
Line 320: Line 288:
| |
| |
| |<u>915.789…</u>
| |<u>915.789…</u>
|''903.896…''
|20
|20
|7
|7
Line 329: Line 296:
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| |<u>915.463…</u>
| |<u>915.463…</u>
|''903.816…''
|17
|17
|6
|6
Line 338: Line 304:
| |
| |
| |<u>915</u>
| |<u>915</u>
|''903.{{Overline|703}}''
|14
|14
|5
|5
Line 347: Line 312:
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| |<u>914.286…</u>
| |<u>914.286…</u>
|''903.529…''
|11
|11
|4
|4
Line 356: Line 320:
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| |<u>913.820…</u>
| |<u>913.820…</u>
|''903.415…''
|
|
|
|
Line 365: Line 328:
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| |<u>913.043…</u>
| |<u>913.043…</u>
|''903.225…''
|8
|8
|3
|3
Line 374: Line 336:
| |
| |
| |<u>912.286…</u>
| |<u>912.286…</u>
|''903.040…''
|
|
|
|
Line 383: Line 344:
| |57\101
| |57\101
| |<u>912</u>
| |<u>912</u>
|''902.970…''
|13
|13
|5
|5
Line 392: Line 352:
|79\140
|79\140
|<u>911.538…</u>
|<u>911.538…</u>
|''902.857…''
|18
|18
|7
|7
Line 401: Line 360:
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| |<u>910.344…</u>
| |<u>910.344…</u>
|''902.564…''
|5
|5
|2
|2
Line 410: Line 368:
| |75\133
| |75\133
| |<u>909.{{Overline|09}}</u>
| |<u>909.{{Overline|09}}</u>
|''902.255…''
|17
|17
|7
|7
Line 419: Line 376:
| |53\94
| |53\94
| |<u>908.571…</u>
| |<u>908.571…</u>
|''902.127…''
|12
|12
|5
|5
Line 428: Line 384:
| |
| |
| |<u>907.317…</u>
| |<u>907.317…</u>
|''901.{{Overline|81}}''
|7
|7
|3
|3
Line 437: Line 392:
|71\126
|71\126
|<u>906.382…</u>
|<u>906.382…</u>
|''901.587…''
|16
|16
|7
|7
Line 446: Line 400:
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| |<u>905.660…</u>
| |<u>905.660…</u>
|''901.408…''
|9
|9
|4
|4
Line 455: Line 408:
| |
| |
| |<u>904.615…</u>
| |<u>904.615…</u>
|''901.149…''
|11
|11
|5
|5
Line 464: Line 416:
| |
| |
| |<u>903.896…</u>
| |<u>903.896…</u>
|''900.970…''
|13
|13
|6
|6
Line 473: Line 424:
| |
| |
| |<u>900</u>
| |<u>900</u>
|''900''
|2
|2
|1
|1
Line 482: Line 432:
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| |<u>896.202…</u>
| |<u>896.202…</u>
|''899.047…''
|13
|13
|7
|7
Line 491: Line 440:
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| |<u>895.522…</u>
| |<u>895.522…</u>
|''898.876…''
|11
|11
|6
|6
Line 500: Line 448:
| |
| |
| |<u>894.{{Overline|54}}</u>
| |<u>894.{{Overline|54}}</u>
|''898.630…''
|9
|9
|5
|5
Line 509: Line 456:
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| |<u>893.023…</u>
| |<u>893.023…</u>
|''898.245…''
|7
|7
|4
|4
Line 518: Line 464:
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| |<u>892.459…</u>
| |<u>892.459…</u>
|''898.102…''
|
|
|
|
Line 527: Line 472:
| |55\98
| |55\98
| |<u>891.{{Overline|891}}</u>
| |<u>891.{{Overline|891}}</u>
|''897.959…''
|12
|12
|7
|7
Line 536: Line 480:
| |
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| |<u>890.323…</u>
| |<u>890.323…</u>
|''897.560…''
|5
|5
|3
|3
Line 545: Line 488:
|83\148
|83\148
|<u>889.285…</u>
|<u>889.285…</u>
|''897.{{Overline|297}}''
|18
|18
|11
|11
Line 554: Line 496:
| |60\107
| |60\107
| |<u>888.{{Overline|8}}</u>
| |<u>888.{{Overline|8}}</u>
|''897.196…''
|13
|13
|8
|8
Line 563: Line 504:
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| |<u>888.643…</u>
| |<u>888.643…</u>
|''897.133…''
|
|
|
|
Line 572: Line 512:
| |
| |
| |<u>888</u>
| |<u>888</u>
|''896.{{Overline|96}}''
|8
|8
|5
|5
Line 581: Line 520:
|88\157
|88\157
|<u>887.394…</u>
|<u>887.394…</u>
|''896.815…''
|19
|19
|12
|12
Line 590: Line 528:
| |
| |
| |<u>886.956…</u>
| |<u>886.956…</u>
|''896.703…''
|11
|11
|7
|7
Line 599: Line 536:
| |
| |
| |<u>886.{{Overline|36}}</u>
| |<u>886.{{Overline|36}}</u>
|''896.551…''
|14
|14
|9
|9
Line 608: Line 544:
| |
| |
| |<u>885.981…</u>
| |<u>885.981…</u>
|''896.453…''
|17
|17
|11
|11
Line 617: Line 552:
| |
| |
| |<u>885.714…</u>
| |<u>885.714…</u>
|''896.385…''
|20
|20
|13
|13
Line 626: Line 560:
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| |
| |<u>884.210…</u>
| |<u>884.210…</u>
|''896''
|3
|3
|2
|2
Line 635: Line 568:
| |
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| |<u>883.018…</u>
| |<u>883.018…</u>
|''895.693…''
|25
|25
|17
|17
Line 644: Line 576:
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| |<u>882.857…</u>
| |<u>882.857…</u>
|''895.652…''
|22
|22
|15
|15
Line 653: Line 584:
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| |<u>882.644…</u>
| |<u>882.644…</u>
|''895.579…''
|19
|19
|13
|13
Line 662: Line 592:
| |
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| |<u>882.353…</u>
| |<u>882.353…</u>
|''895.522…''
|16
|16
|11
|11
Line 671: Line 600:
| |
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| |<u>881.927…</u>
| |<u>881.927…</u>
|''895.412…''
|13
|13
|9
|9
Line 680: Line 608:
| |
| |
| |<u>881.25</u>
| |<u>881.25</u>
|''895.238…''
|10
|10
|7
|7
Line 689: Line 616:
|80\143
|80\143
|<u>880.733…</u>
|<u>880.733…</u>
|''895.104…''
|17
|17
|12
|12
Line 698: Line 624:
| |
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| |<u>880</u>
| |<u>880</u>
|''894.915…''
|7
|7
|5
|5
Line 707: Line 632:
|85\152
|85\152
|<u>879.310…</u>
|<u>879.310…</u>
|''894.736…''
|18
|18
|13
|13
Line 716: Line 640:
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|
|<u>878.873…</u>
|<u>878.873…</u>
|''894.623…''
|11
|11
|8
|8
Line 725: Line 648:
|
|
|<u>878.350…</u>
|<u>878.350…</u>
|''894.488…''
|15
|15
|11
|11
Line 734: Line 656:
|
|
|<u>878.048…</u>
|<u>878.048…</u>
|''894.409…''
|19
|19
|14
|14
Line 743: Line 664:
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|
|<u>877.852…</u>
|<u>877.852…</u>
|''894.358…''
|23
|23
|17
|17
Line 752: Line 672:
| |
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| |<u>876.923…</u>
| |<u>876.923…</u>
|''894.117…''
|4
|4
|3
|3
Line 761: Line 680:
|
|
|<u>875.294…</u>
|<u>875.294…</u>
|''893.{{Overline|693}}''
|13
|13
|10
|10
Line 770: Line 688:
|
|
|<u>874.576…</u>
|<u>874.576…</u>
|''893.506…''
|9
|9
|7
|7
Line 779: Line 696:
|
|
|<u>873.913…</u>
|<u>873.913…</u>
|''893.{{Overline|3}}''
|14
|14
|11
|11
Line 788: Line 704:
|
|
|<u>872.{{Overline|72}}</u>
|<u>872.{{Overline|72}}</u>
|''893.023…''
|5
|5
|4
|4
Line 797: Line 712:
|
|
|<u>871.232…</u>
|<u>871.232…</u>
|''892.631…''
|11
|11
|9
|9
Line 806: Line 720:
|
|
|<u>870</u>
|<u>870</u>
|''892.307…''
|6
|6
|5
|5
Line 815: Line 728:
| |
| |
| |<u>857.142…</u>
| |<u>857.142…</u>
|''888.{{Overline|8}}''
|1
|1
|0
|0

Revision as of 02:43, 2 June 2023

This page is about a MOS scale with a period of 5/2 and 7 large steps and 2 small steps arranged LLLsLLLLs (or any rotation of that, such as LLsLLLsLL).

Name

Temperaments

Terra Rubra-Meantone

Subgroup: 5/2.2.3

Comma list: 81/80

POL2 generator: ~3/2 = 696.8737

Mapping: [⟨1 1 1], ⟨0 -2 -1]]

Optimal ET sequence: 9ed5/2, 16ed5/2, 25ed5/2

Terra Rubra-Superpyth

Subgroup: 18/7.2.3

Comma list: 64/63

POL2 generator: ~3/2 = 708.4011

Mapping: [⟨1 1 1], ⟨0 -2 -1]]

Optimal ET sequence: 7ed18/7, 16ed18/7, 23ed18/7

Scale tree

Generator Generator size L s Comments
4\7 960 1 0
25\44 937.5 6 1
71\125 936.263… 17 3
46\81 935.593… 11 2
67\118 934.883… 16 3
21\37 933.3 5 1
80\141 932.038… 19 4
59\104 931.579… 14 3
38\67 930.612… 9 2
55\97 929.577… 13 3
72\127 929.032… 17 4
89\157 928.695… 21 5
17\30 927.27 4 1
115\203 926.174… 27 7
98\173 925.984… 23 6
81\143 925.714… 19 5
64\113 925.301… 15 4
47\83 924.591… 11 3
30\53 923.076… 7 2
73\129 922.105… 17 5
43\76 921.428… 10 3
56\99 920.547… 13 4
69\122 920 16 5
82\145 919.626… 19 6
95\168 919.354… 22 7
919.340… L/s = π
108\191 919.148… 25 8
121\214 918.987… 28 9
134\237 918.857… 31 10
13\23 917.647… 3 1
100\177 916.030… 23 8
87\154 915.789… 20 7
74\131 915.463… 17 6
61\108 915 14 5
48\85 914.286… 11 4
913.820… L/s = e
35\62 913.043… 8 3
912.286… Split φ superdiatonic relation
57\101 912 13 5
79\140 911.538… 18 7
22\39 910.344… 5 2
75\133 909.09 17 7
53\94 908.571… 12 5
31\55 907.317… 7 3
71\126 906.382… 16 7
40\71 905.660… 9 4
49\87 904.615… 11 5
58\103 903.896… 13 6
9\16 900 2 1 [BOUNDARY OF PROPRIETY: smaller generators are strictly proper]
59\105 896.202… 13 7
50\89 895.522… 11 6
41\73 894.54 9 5
32\57 893.023… 7 4 the 'Commatic' version of Terra Rubra, because its high accuracy of the 16/15 interval, the note '2b'
892.459…
55\98 891.891 12 7
23\41 890.323… 5 3 Golden Terra Rubra 1/5-tone
83\148 889.285… 18 11
60\107 888.8 13 8 Golden Terra Rubra 1/13-tone
888.643… GOLDEN Terra Rubra (L/s = φ)
37\66 888 8 5 Golden Terra Rubra 1/8-tone
88\157 887.394… 19 12
51\91 886.956… 11 7
65\116 886.36 14 9
79\141 885.981… 17 11
93\166 885.714… 20 13
14\25 884.210… 3 2 Golden Terra Rubra 1/3-tone
117\209 883.018… 25 17
103\184 882.857… 22 15
89\159 882.644… 19 13
75\134 882.353… 16 11
61\109 881.927… 13 9
47\84 881.25 10 7
80\143 880.733… 17 12
33\59 880 7 5
85\152 879.310… 18 13
52\93 878.873… 11 8
71\127 878.350… 15 11
90\161 878.048… 19 14
109\195 877.852… 23 17
19\34 876.923… 4 3
62\111 875.294… 13 10
43\77 874.576… 9 7
67\120 873.913… 14 11
24\43 872.72 5 4
53\95 871.232… 11 9
29\52 870 6 5
5\9 857.142… 1 0

See also

7L 2s (5/2-equivalent) - idealized meantone tuning

7L 2s (18/7-equivalent) - idealized Archytas tuning

Retrieved from "https://en.xen.wiki/index.php?title=User:Moremajorthanmajor/7L_2s_(major_tenth-equivalent)&oldid=115492"