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

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Line 10: Line 10:
[[Comma]] list: [[81/80]]
[[Comma]] list: [[81/80]]


[[POL2]] generator: ~3/2 = 696.8737
[[POL2]] generator: ~3/2 = [[Tel:696.8737|696.8737]]


[[Mapping]]: [⟨1 1 1], ⟨0 -2 -1]]
[[Mapping]]: [⟨1 1 1], ⟨0 -2 -1]]
Line 21: Line 21:
[[Comma]] list: [[64/63]]
[[Comma]] list: [[64/63]]


[[POL2]] generator: ~3/2 = 708.4011
[[POL2]] generator: ~3/2 = [[Tel:708.4011|708.4011]]


[[Mapping]]: [⟨1 1 1], ⟨0 -2 -1]]
[[Mapping]]: [⟨1 1 1], ⟨0 -2 -1]]
Line 33: Line 33:
! |Generator size
! |Generator size
! |ed16\12 (→ed4\3)
! |ed16\12 (→ed4\3)
!L
!s
!Comments
!Comments
|-
|-
Line 40: Line 42:
| |<u>960</u>
| |<u>960</u>
| |''914.285…''
| |''914.285…''
|1
|0
|
|-
|-
|25\44
|25\44
Line 46: Line 51:
|<u>937.5</u>
|<u>937.5</u>
|''909.{{Overline|09}}''
|''909.{{Overline|09}}''
|6
|1
|
|
|-
|-
Line 53: Line 60:
|<u>936.263…</u>
|<u>936.263…</u>
|''908.8''
|''908.8''
|17
|3
|
|
|-
|-
Line 60: Line 69:
|<u>935.593…</u>
|<u>935.593…</u>
|''908.641…''
|''908.641…''
|11
|2
|
|
|-
|-
Line 67: Line 78:
|<u>934.883…</u>
|<u>934.883…</u>
|''908.474…''
|''908.474…''
|16
|3
|
|
|-
|-
Line 74: Line 87:
| |<u>933.{{Overline|3}}</u>
| |<u>933.{{Overline|3}}</u>
|''908.{{Overline|108}}''
|''908.{{Overline|108}}''
|5
|1
| |
| |
|-
|-
Line 81: Line 96:
|<u>932.038…</u>
|<u>932.038…</u>
|''907.801…''
|''907.801…''
|19
|4
|
|
|-
|-
Line 88: Line 105:
|<u>931.579…</u>
|<u>931.579…</u>
|''907.692…''
|''907.692…''
|14
|3
|
|
|-
|-
Line 95: Line 114:
|<u>930.612…</u>
|<u>930.612…</u>
|''907.462…''
|''907.462…''
|9
|2
|
|
|-
|-
Line 102: Line 123:
|<u>929.577…</u>
|<u>929.577…</u>
|''907.216…''
|''907.216…''
|13
|3
|
|
|-
|-
Line 109: Line 132:
|<u>929.032…</u>
|<u>929.032…</u>
|''907.086…''
|''907.086…''
|17
|4
|
|
|-
|-
Line 116: Line 141:
|<u>928.695…</u>
|<u>928.695…</u>
|''907.006…''
|''907.006…''
|21
|5
|
|
|-
|-
Line 123: Line 150:
| |<u>927.{{Overline|27}}</u>
| |<u>927.{{Overline|27}}</u>
|''906.{{Overline|6}}''
|''906.{{Overline|6}}''
| |L/s = 4
|4
|1
| |
|-
|-
|
|
Line 130: Line 159:
|<u>926.174…</u>
|<u>926.174…</u>
|''906.403…''
|''906.403…''
|27
|7
|
|
|-
|-
Line 137: Line 168:
|<u>925.984…</u>
|<u>925.984…</u>
|''906.358…''
|''906.358…''
|23
|6
|
|
|-
|-
Line 144: Line 177:
|<u>925.714…</u>
|<u>925.714…</u>
|''906.293…''
|''906.293…''
|19
|5
|
|
|-
|-
Line 151: Line 186:
|<u>925.301…</u>
|<u>925.301…</u>
|''906.194…''
|''906.194…''
|15
|4
|
|
|-
|-
Line 158: Line 195:
|<u>924.591…</u>
|<u>924.591…</u>
|''906.024…''
|''906.024…''
|11
|3
|
|
|-
|-
Line 165: Line 204:
| |<u>923.076…</u>
| |<u>923.076…</u>
|''905.660…''
|''905.660…''
|7
|2
| |
| |
|-
|-
Line 172: Line 213:
|<u>922.105…</u>
|<u>922.105…</u>
|''905.426…''
|''905.426…''
|17
|5
|
|
|-
|-
Line 179: Line 222:
| |<u>921.428…</u>
| |<u>921.428…</u>
|''905.263…''
|''905.263…''
|10
|3
| |
| |
|-
|-
Line 186: Line 231:
| |<u>920.547…</u>
| |<u>920.547…</u>
|''905.{{Overline|05}}''
|''905.{{Overline|05}}''
|13
|4
| |
| |
|-
|-
Line 193: Line 240:
| |<u>920</u>
| |<u>920</u>
|''904.918…''
|''904.918…''
|16
|5
| |
| |
|-
|-
Line 200: Line 249:
| |<u>919.626…</u>
| |<u>919.626…</u>
|''904.827…''
|''904.827…''
|19
|6
| |
| |
|-
|-
Line 207: Line 258:
| |<u>919.354…</u>
| |<u>919.354…</u>
|''904.761…''
|''904.761…''
|22
|7
| |
| |
|-
|-
Line 214: Line 267:
| |<u>919.340…</u>
| |<u>919.340…</u>
|''904.758…''
|''904.758…''
|
|
| |L/s = π
| |L/s = π
|-
|-
Line 221: Line 276:
| |<u>919.148…</u>
| |<u>919.148…</u>
|''904.712…''
|''904.712…''
|25
|8
| |
| |
|-
|-
Line 228: Line 285:
| |<u>918.987…</u>
| |<u>918.987…</u>
|''904.672…''
|''904.672…''
| |28;9 Superdiatonic 1/28-tone
|28
|9
| |
|-
|-
| |
| |
Line 235: Line 294:
| |<u>918.857…</u>
| |<u>918.857…</u>
|''904.642…''
|''904.642…''
|31
|10
| |
| |
|-
|-
Line 242: Line 303:
| |<u>917.647…</u>
| |<u>917.647…</u>
|''904.347…''
|''904.347…''
| |L/s = 4
|3
|1
| |
|-
|-
| |
| |
Line 249: Line 312:
| |<u>916.030…</u>
| |<u>916.030…</u>
|''903.954…''
|''903.954…''
|23
|8
| |
| |
|-
|-
Line 256: Line 321:
| |<u>915.789…</u>
| |<u>915.789…</u>
|''903.896…''
|''903.896…''
|20
|7
| |
| |
|-
|-
Line 263: Line 330:
| |<u>915.463…</u>
| |<u>915.463…</u>
|''903.816…''
|''903.816…''
| |17;6 1/17-tone
|17
|6
| |
|-
|-
| |
| |
Line 270: Line 339:
| |<u>915</u>
| |<u>915</u>
|''903.{{Overline|703}}''
|''903.{{Overline|703}}''
| |14;5 1/14-tone
|14
|5
| |
|-
|-
| |
| |
Line 277: Line 348:
| |<u>914.286…</u>
| |<u>914.286…</u>
|''903.529…''
|''903.529…''
| |11;4 1/11-tone
|11
|4
| |
|-
|-
| |
| |
Line 284: Line 357:
| |<u>913.820…</u>
| |<u>913.820…</u>
|''903.415…''
|''903.415…''
|
|
| |L/s = e
| |L/s = e
|-
|-
Line 291: Line 366:
| |<u>913.043…</u>
| |<u>913.043…</u>
|''903.225…''
|''903.225…''
| |8;3 1/8-tone
|8
|3
| |
|-
|-
| |
| |
Line 298: Line 375:
| |<u>912.286…</u>
| |<u>912.286…</u>
|''903.040…''
|''903.040…''
| |Split φ superdiatonic relation (34;13 - 55;21 - 89;34 - 144;55 - 233;89 - 377;144 - 610;233..)
|
|
| |Split φ superdiatonic relation
|-
|-
| |
| |
Line 305: Line 384:
| |<u>912</u>
| |<u>912</u>
|''902.970…''
|''902.970…''
| |13;5 Superdiatonic 1/13-tone
|13
|5
| |
|-
|-
|
|
Line 312: Line 393:
|<u>911.538…</u>
|<u>911.538…</u>
|''902.857…''
|''902.857…''
|18
|7
|
|
|-
|-
Line 319: Line 402:
| |<u>910.344…</u>
| |<u>910.344…</u>
|''902.564…''
|''902.564…''
| |Terra Rubra 1/5-tone
|5
|2
| |
|-
|-
| |
| |
Line 326: Line 411:
| |<u>909.{{Overline|09}}</u>
| |<u>909.{{Overline|09}}</u>
|''902.255…''
|''902.255…''
| |17;7 Superdiatonic 1/17-tone
|17
|7
| |
|-
|-
| |
| |
Line 333: Line 420:
| |<u>908.571…</u>
| |<u>908.571…</u>
|''902.127…''
|''902.127…''
|12
|5
| |
| |
|-
|-
Line 340: Line 429:
| |<u>907.317…</u>
| |<u>907.317…</u>
|''901.{{Overline|81}}''
|''901.{{Overline|81}}''
| |7;3 Superdiatonic 1/7-tone
|7
|3
| |
|-
|-
|
|
Line 347: Line 438:
|<u>906.382…</u>
|<u>906.382…</u>
|''901.587…''
|''901.587…''
|16
|7
|
|
|-
|-
Line 354: Line 447:
| |<u>905.660…</u>
| |<u>905.660…</u>
|''901.408…''
|''901.408…''
| |9;4 Superdiatonic 1/9-tone
|9
|4
| |
|-
|-
| |
| |
Line 361: Line 456:
| |<u>904.615…</u>
| |<u>904.615…</u>
|''901.149…''
|''901.149…''
| |11;5 Superdiatonic 1/11-tone
|11
|5
| |
|-
|-
| |
| |
Line 368: Line 465:
| |<u>903.896…</u>
| |<u>903.896…</u>
|''900.970…''
|''900.970…''
| |13;6 Superdiatonic 1/13-tone
|13
|-
|6
|
| |
|67\119
|
|<u>903.370…</u>
|''900.840…''
|
|-
|
|76\135
|
|<u>902.970…</u>
|''900.{{Overline|740}}''
|
|-
|
|85\151
|
|<u>902.654…</u>
|''900.662…''
|
|-
|
|94\167
|
|<u>902.4</u>
|''900.598…''
|
|-
|
|103\183
|
|<u>902.189…</u>
|''900.564…''
|
|-
|
|112\199
|
|<u>902.013…</u>
|''900.502…''
|
|-
|
|121\215
|
|<u>901.863…</u>
|''900.465…''
|
|-
|-
| |9\16
| |9\16
Line 424: Line 474:
| |<u>900</u>
| |<u>900</u>
|''900''
|''900''
|2
|1
| |<span style="display: block; text-align: left;">'''[BOUNDARY OF PROPRIETY: smaller generators are strictly proper]'''</span>
| |<span style="display: block; text-align: left;">'''[BOUNDARY OF PROPRIETY: smaller generators are strictly proper]'''</span>
|-
|
|230\409
|
|<u>899.022…</u>
|''899.755…''
|
|-
|
|221\393
|
|<u>898.983…</u>
|''899.745…''
|
|-
|
|212\377
|
|<u>898.939…</u>
|''899.734…''
|
|-
|
|203\361
|
|<u>898.892…</u>
|''899.722…''
|
|-
|
|194\345
|
|<u>898.841…</u>
|''899.710…''
|
|-
|
|185\329
|
|<u>898.785…</u>
|''899.696…''
|
|-
|
|176\313
|
|<u>898.723…</u>
|''899.680…''
|
|-
|
|167\297
|
|<u>898.654…</u>
|''899.663…''
|
|-
|
|158\281
|
|<u>898.578…</u>
|''899.644…''
|
|-
|
|149\265
|
|<u>898.492…</u>
|''899.622…''
|
|-
|
|140\249
|
|<u>898.395…</u>
|''899.598…''
|
|-
|
|131\233
|
|<u>898.285…</u>
|''899.570…''
|
|-
|
|122\217
|
|<u>898.159…</u>
|''899.539…''
|
|-
|
|113\201
|
|<u>898.013…</u>
|''899.502…''
|
|-
|
|104\185
|
|<u>897.841…</u>
|''899.459…''
|
|-
|
|95\169
|
|<u>897.637…</u>
|''899.408…''
|
|-
|
|86\153
|
|<u>897.391…</u>
|''899.346…''
|
|-
|
|77\137
|
|<u>897.087…</u>
|''899.270…''
|
|-
|
|68\121
|
|<u>896.703…</u>
|''899.173…''
|
|-
|-
| |
| |
Line 564: Line 483:
| |<u>896.202…</u>
| |<u>896.202…</u>
|''899.047…''
|''899.047…''
| |Terra Rubra 1/13-tone
|13
|7
| |
|-
|-
| |
| |
Line 571: Line 492:
| |<u>895.522…</u>
| |<u>895.522…</u>
|''898.876…''
|''898.876…''
| |Terra Rubra 1/11-tone
|11
|6
| |
|-
|-
| |
| |
Line 578: Line 501:
| |<u>894.{{Overline|54}}</u>
| |<u>894.{{Overline|54}}</u>
|''898.630…''
|''898.630…''
| |Terra Rubra 1/9-tone
|9
|5
| |
|-
|-
| |
| |
Line 585: Line 510:
| |<u>893.023…</u>
| |<u>893.023…</u>
|''898.245…''
|''898.245…''
| |Terra Rubra 1/7-tone <span style="font-size: 12.8000001907349px;">(the 'Commatic' version of Terra Rubra, because its high accuracy of the 16/15 interval, the note '2b')</span>
|7
|4
| |<span style="font-size: 12.8000001907349px;"><big>the 'Commatic' version of Terra Rubra, because its high accuracy of the 16/15 interval, the note '2b'</big></span>
|-
|-
| |
| |
Line 592: Line 519:
| |<u>892.459…</u>
| |<u>892.459…</u>
|''898.102…''
|''898.102…''
|
|
| |
| |
|-
|-
Line 599: Line 528:
| |<u>891.{{Overline|891}}</u>
| |<u>891.{{Overline|891}}</u>
|''897.959…''
|''897.959…''
|12
|7
| |
| |
|-
| |
| |
| |78\139
| |<u>891.428…</u>
|''897.841…''
| |Terra Rubra 1/17-tone
|-
|-
| |
| |
Line 613: Line 537:
| |<u>890.323…</u>
| |<u>890.323…</u>
|''897.560…''
|''897.560…''
| |5;3 Golden Terra Rubra 1/5-tone
|5
|3
| |Golden Terra Rubra 1/5-tone
|-
|-
|
|
Line 620: Line 546:
|<u>889.285…</u>
|<u>889.285…</u>
|''897.{{Overline|297}}''
|''897.{{Overline|297}}''
|18
|11
|
|
|-
|-
Line 627: Line 555:
| |<u>888.{{Overline|8}}</u>
| |<u>888.{{Overline|8}}</u>
|''897.196…''
|''897.196…''
| |13;8 Golden Terra Rubra 1/13-tone
|13
|8
| |Golden Terra Rubra 1/13-tone
|-
|-
| |
| |
Line 634: Line 564:
| |<u>888.643…</u>
| |<u>888.643…</u>
|''897.133…''
|''897.133…''
|
|
| |GOLDEN Terra Rubra (L/s = <span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;">φ)</span>
| |GOLDEN Terra Rubra (L/s = <span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;">φ)</span>
|-
| |
| |
| |97\173
| |<u>888.549…</u>
|''897.109…''
| |21;13 Golden Terra Rubra 1/21-tone
|-
|-
| |
| |
Line 648: Line 573:
| |<u>888</u>
| |<u>888</u>
|''896.{{Overline|96}}''
|''896.{{Overline|96}}''
| |8;5 Golden Terra Rubra 1/8-tone
|8
|5
| |Golden Terra Rubra 1/8-tone
|-
|-
|
|
Line 655: Line 582:
|<u>887.394…</u>
|<u>887.394…</u>
|''896.815…''
|''896.815…''
|19
|12
|
|
|-
|-
Line 662: Line 591:
| |<u>886.956…</u>
| |<u>886.956…</u>
|''896.703…''
|''896.703…''
| |11;7 Superdiatonic 1/11-tone
|11
|-
|7
| |
| |
| |
| |<u>886.933…</u>
|''896.697…''
| |
| |
|-
|-
Line 676: Line 600:
| |<u>886.{{Overline|36}}</u>
| |<u>886.{{Overline|36}}</u>
|''896.551…''
|''896.551…''
| |14;9 Superdiatonic 1/14-tone
|14
|9
| |
|-
|-
| |
| |
Line 683: Line 609:
| |<u>885.981…</u>
| |<u>885.981…</u>
|''896.453…''
|''896.453…''
| |17;11 Superdiatonic 1/17-tone
|17
|11
| |
|-
|-
| |
| |
Line 690: Line 618:
| |<u>885.714…</u>
| |<u>885.714…</u>
|''896.385…''
|''896.385…''
|20
|13
| |
| |
|-
| |
| |107\191
| |
| |<u>885.517…</u>
|''896.335…''
| |
|-
| |
| |121\216
| |
| |<u>885.365…</u>
|''896.{{Overline|296}}''
| |26;17 Superdiatonic 1/26-tone
|-
| |
| |135\241
| |
| |<u>885.245…</u>
|''896.265…''
| |29;19 Superdiatonic 1/29-tone
|-
|-
| |14\25
| |14\25
Line 718: Line 627:
| |<u>884.210…</u>
| |<u>884.210…</u>
|''896''
|''896''
| |3;2 Golden Terra Rubra 1/3-tone
|3
|-
|2
| |
| |Golden Terra Rubra 1/3-tone
| |145\259
| |
| |<u>883.248…</u>
|''895.752…''
| |31;21 Superdiatonic 1/31-tone
|-
| |
| |131\234
| |
| |<u>883.146…</u>
|''895.726…''
| |28;19 Superdiatonic 1/28-tone
|-
|-
| |
| |
Line 739: Line 636:
| |<u>883.018…</u>
| |<u>883.018…</u>
|''895.693…''
|''895.693…''
|25
|17
| |
| |
|-
|-
Line 746: Line 645:
| |<u>882.857…</u>
| |<u>882.857…</u>
|''895.652…''
|''895.652…''
|22
|15
| |
| |
|-
|-
Line 753: Line 654:
| |<u>882.644…</u>
| |<u>882.644…</u>
|''895.579…''
|''895.579…''
|19
|13
| |
| |
|-
|-
Line 760: Line 663:
| |<u>882.353…</u>
| |<u>882.353…</u>
|''895.522…''
|''895.522…''
|16
|11
| |
| |
|-
|-
Line 767: Line 672:
| |<u>881.927…</u>
| |<u>881.927…</u>
|''895.412…''
|''895.412…''
|13
|9
| |
| |
|-
|-
Line 774: Line 681:
| |<u>881.25</u>
| |<u>881.25</u>
|''895.238…''
|''895.238…''
|10
|7
| |
| |
|-
|-
Line 781: Line 690:
|<u>880.733…</u>
|<u>880.733…</u>
|''895.104…''
|''895.104…''
|17
|12
|
|
|-
|-
Line 788: Line 699:
| |<u>880</u>
| |<u>880</u>
|''894.915…''
|''894.915…''
|7
|5
| |
| |
|-
|-
Line 795: Line 708:
|<u>879.310…</u>
|<u>879.310…</u>
|''894.736…''
|''894.736…''
|18
|13
|
|
|-
|-
Line 802: Line 717:
|<u>878.873…</u>
|<u>878.873…</u>
|''894.623…''
|''894.623…''
|11
|8
|
|
|-
|-
Line 809: Line 726:
|<u>878.350…</u>
|<u>878.350…</u>
|''894.488…''
|''894.488…''
|15
|11
|
|-
|
|90\161
|
|<u>878.048…</u>
|''894.409…''
|19
|14
|
|-
|
|109\195
|
|<u>877.852…</u>
|''894.358…''
|23
|17
|
|
|-
|-
Line 816: Line 753:
| |<u>876.923…</u>
| |<u>876.923…</u>
|''894.117…''
|''894.117…''
|4
|3
| |
| |
|-
|-
Line 823: Line 762:
|<u>875.294…</u>
|<u>875.294…</u>
|''893.{{Overline|693}}''
|''893.{{Overline|693}}''
|13
|10
|
|
|-
|-
Line 830: Line 771:
|<u>874.576…</u>
|<u>874.576…</u>
|''893.506…''
|''893.506…''
|9
|7
|
|
|-
|-
Line 837: Line 780:
|<u>873.913…</u>
|<u>873.913…</u>
|''893.{{Overline|3}}''
|''893.{{Overline|3}}''
|14
|11
|
|
|-
|-
Line 844: Line 789:
|<u>872.{{Overline|72}}</u>
|<u>872.{{Overline|72}}</u>
|''893.023…''
|''893.023…''
|5
|4
|
|
|-
|-
Line 851: Line 798:
|<u>871.232…</u>
|<u>871.232…</u>
|''892.631…''
|''892.631…''
|11
|9
|
|
|-
|-
Line 858: Line 807:
|<u>870</u>
|<u>870</u>
|''892.307…''
|''892.307…''
|6
|5
|
|
|-
|-
Line 865: Line 816:
| |<u>857.142…</u>
| |<u>857.142…</u>
|''888.{{Overline|8}}''
|''888.{{Overline|8}}''
|1
|0
| |
| |
|}
|}

Revision as of 06:54, 26 May 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 = [[1]]

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 = [[2]]

Mapping: [⟨1 1 1], ⟨0 -2 -1]]

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

Scale tree

Generator Generator size ed16\12 (→ed4\3) L s Comments
4\7 960 914.285… 1 0
25\44 937.5 909.09 6 1
71\125 936.263… 908.8 17 3
46\81 935.593… 908.641… 11 2
67\118 934.883… 908.474… 16 3
21\37 933.3 908.108 5 1
80\141 932.038… 907.801… 19 4
59\104 931.579… 907.692… 14 3
38\67 930.612… 907.462… 9 2
55\97 929.577… 907.216… 13 3
72\127 929.032… 907.086… 17 4
89\157 928.695… 907.006… 21 5
17\30 927.27 906.6 4 1
115\203 926.174… 906.403… 27 7
98\173 925.984… 906.358… 23 6
81\143 925.714… 906.293… 19 5
64\113 925.301… 906.194… 15 4
47\83 924.591… 906.024… 11 3
30\53 923.076… 905.660… 7 2
73\129 922.105… 905.426… 17 5
43\76 921.428… 905.263… 10 3
56\99 920.547… 905.05 13 4
69\122 920 904.918… 16 5
82\145 919.626… 904.827… 19 6
95\168 919.354… 904.761… 22 7
919.340… 904.758… L/s = π
108\191 919.148… 904.712… 25 8
121\214 918.987… 904.672… 28 9
134\237 918.857… 904.642… 31 10
13\23 917.647… 904.347… 3 1
100\177 916.030… 903.954… 23 8
87\154 915.789… 903.896… 20 7
74\131 915.463… 903.816… 17 6
61\108 915 903.703 14 5
48\85 914.286… 903.529… 11 4
913.820… 903.415… L/s = e
35\62 913.043… 903.225… 8 3
912.286… 903.040… Split φ superdiatonic relation
57\101 912 902.970… 13 5
79\140 911.538… 902.857… 18 7
22\39 910.344… 902.564… 5 2
75\133 909.09 902.255… 17 7
53\94 908.571… 902.127… 12 5
31\55 907.317… 901.81 7 3
71\126 906.382… 901.587… 16 7
40\71 905.660… 901.408… 9 4
49\87 904.615… 901.149… 11 5
58\103 903.896… 900.970… 13 6
9\16 900 900 2 1 [BOUNDARY OF PROPRIETY: smaller generators are strictly proper]
59\105 896.202… 899.047… 13 7
50\89 895.522… 898.876… 11 6
41\73 894.54 898.630… 9 5
32\57 893.023… 898.245… 7 4 the 'Commatic' version of Terra Rubra, because its high accuracy of the 16/15 interval, the note '2b'
892.459… 898.102…
55\98 891.891 897.959… 12 7
23\41 890.323… 897.560… 5 3 Golden Terra Rubra 1/5-tone
83\148 889.285… 897.297 18 11
60\107 888.8 897.196… 13 8 Golden Terra Rubra 1/13-tone
888.643… 897.133… GOLDEN Terra Rubra (L/s = φ)
37\66 888 896.96 8 5 Golden Terra Rubra 1/8-tone
88\157 887.394… 896.815… 19 12
51\91 886.956… 896.703… 11 7
65\116 886.36 896.551… 14 9
79\141 885.981… 896.453… 17 11
93\166 885.714… 896.385… 20 13
14\25 884.210… 896 3 2 Golden Terra Rubra 1/3-tone
117\209 883.018… 895.693… 25 17
103\184 882.857… 895.652… 22 15
89\159 882.644… 895.579… 19 13
75\134 882.353… 895.522… 16 11
61\109 881.927… 895.412… 13 9
47\84 881.25 895.238… 10 7
80\143 880.733… 895.104… 17 12
33\59 880 894.915… 7 5
85\152 879.310… 894.736… 18 13
52\93 878.873… 894.623… 11 8
71\127 878.350… 894.488… 15 11
90\161 878.048… 894.409… 19 14
109\195 877.852… 894.358… 23 17
19\34 876.923… 894.117… 4 3
62\111 875.294… 893.693 13 10
43\77 874.576… 893.506… 9 7
67\120 873.913… 893.3 14 11
24\43 872.72 893.023… 5 4
53\95 871.232… 892.631… 11 9
29\52 870 892.307… 6 5
5\9 857.142… 888.8 1 0

See also

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

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

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