18edo: Difference between revisions
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| Line 24: | Line 24: | ||
| | Degree | | | Degree | ||
| | Cents | | | Cents | ||
|pions | |||
|7mus | |||
| | 5L3s Notation | | | 5L3s Notation | ||
| | Nearest Ratio | | | Nearest Ratio | ||
| Line 30: | Line 32: | ||
|- | |- | ||
| | 0 | | | 0 | ||
| | 0 | | colspan="3"| 0 | ||
| style="text-align:center;" | C | | style="text-align:center;" | C | ||
| | 1/1 | | | 1/1 | ||
| Line 38: | Line 40: | ||
| | 1 | | | 1 | ||
| | 66.67 | | | 66.67 | ||
|70.67 | |||
|85.33 (55.55<sub>16</sub>) | |||
| style="text-align:center;" | Db | | style="text-align:center;" | Db | ||
| | 27/26 | | | 27/26 | ||
| Line 45: | Line 49: | ||
| | 2 | | | 2 | ||
| | 133.33 | | | 133.33 | ||
|141.33 | |||
|170.67 (AA.AB<sub>16</sub>) | |||
| style="text-align:center;" | C# | | style="text-align:center;" | C# | ||
| | 27/25 | | | 27/25 | ||
| Line 52: | Line 58: | ||
| | 3 | | | 3 | ||
| | 200 | | | 200 | ||
|212 | |||
|256 (100<sub>16</sub>) | |||
| style="text-align:center;" | D | | style="text-align:center;" | D | ||
| | 9/8 | | | 9/8 | ||
| Line 59: | Line 67: | ||
| | 4 | | | 4 | ||
| | 266.67 | | | 266.67 | ||
|282.67 | |||
|341,33 (155.55<sub>16</sub>) | |||
| style="text-align:center;" | Eb | | style="text-align:center;" | Eb | ||
| | 7/6 | | | 7/6 | ||
| Line 66: | Line 76: | ||
| | 5 | | | 5 | ||
| | 333.33 | | | 333.33 | ||
|353.33 | |||
|426.67 (1AA.AB<sub>16</sub>) | |||
| style="text-align:center;" | D# | | style="text-align:center;" | D# | ||
| | 17/14 or 40/33 | | | 17/14 or 40/33 | ||
| Line 73: | Line 85: | ||
| | 6 | | | 6 | ||
| | 400 | | | 400 | ||
|424 | |||
|512 (200<sub>16</sub>) | |||
| style="text-align:center;" | E | | style="text-align:center;" | E | ||
| | 5/4 or 44/35 | | | 5/4 or 44/35 | ||
| Line 80: | Line 94: | ||
| | 7 | | | 7 | ||
| | 466.67 | | | 466.67 | ||
|494.67 | |||
|597.33 (255.55<sub>16</sub>) | |||
| style="text-align:center;" | F | | style="text-align:center;" | F | ||
| | 21/16 | | | 21/16 | ||
| Line 87: | Line 103: | ||
| | 8 | | | 8 | ||
| | 533.33 | | | 533.33 | ||
|565.33 | |||
|682.67 (2AA.AB<sub>16</sub>) | |||
| style="text-align:center;" | Gb | | style="text-align:center;" | Gb | ||
| | 15/11 | | | 15/11 | ||
| Line 94: | Line 112: | ||
| | 9 | | | 9 | ||
| | 600 | | | 600 | ||
|636 | |||
|768 (300<sub>16</sub>) | |||
| style="text-align:center;" | F# | | style="text-align:center;" | F# | ||
| | 17/12 or 24/17 | | | 17/12 or 24/17 | ||
| Line 101: | Line 121: | ||
| | 10 | | | 10 | ||
| | 666.67 | | | 666.67 | ||
|706.67 | |||
|853.33 (355.55<sub>16</sub>) | |||
| style="text-align:center;" | G | | style="text-align:center;" | G | ||
| | 22/15 | | | 22/15 | ||
| Line 108: | Line 130: | ||
| | 11 | | | 11 | ||
| | 733.33 | | | 733.33 | ||
|777.33 | |||
|938.67 (3AA.AB<sub>16</sub>) | |||
| style="text-align:center;" | Hb | | style="text-align:center;" | Hb | ||
| | 32/21 | | | 32/21 | ||
| Line 115: | Line 139: | ||
| | 12 | | | 12 | ||
| | 800 | | | 800 | ||
|848 | |||
|1024 (400<sub>16</sub>) | |||
| style="text-align:center;" | G# | | style="text-align:center;" | G# | ||
| | 8/5 or 35/22 | | | 8/5 or 35/22 | ||
| Line 122: | Line 148: | ||
| | 13 | | | 13 | ||
| | 866.67 | | | 866.67 | ||
|919.67 | |||
|1109.33 (455.55<sub>16</sub>) | |||
| style="text-align:center;" | H | | style="text-align:center;" | H | ||
| | 28/17 or 33/20 | | | 28/17 or 33/20 | ||
| Line 129: | Line 157: | ||
| | 14 | | | 14 | ||
| | 933.33 | | | 933.33 | ||
|989.33 | |||
|1194.67 (4AA.AB<sub>16</sub>) | |||
| style="text-align:center;" | A | | style="text-align:center;" | A | ||
| | 12/7 | | | 12/7 | ||
| Line 136: | Line 166: | ||
| | 15 | | | 15 | ||
| | 1000 | | | 1000 | ||
|1060 | |||
|1280 (500<sub>16</sub>) | |||
| style="text-align:center;" | Bb | | style="text-align:center;" | Bb | ||
| | 16/9 | | | 16/9 | ||
| Line 143: | Line 175: | ||
| | 16 | | | 16 | ||
| | 1066.67 | | | 1066.67 | ||
|1131.67 | |||
|1365.33 (555.55<sub>16</sub>) | |||
| style="text-align:center;" | A# | | style="text-align:center;" | A# | ||
| | 50/27 | | | 50/27 | ||
| Line 150: | Line 184: | ||
| | 17 | | | 17 | ||
| | 1133.33 | | | 1133.33 | ||
|1201.33 | |||
|1440.67 (5AA.AB<sub>16</sub>) | |||
| style="text-align:center;" | B | | style="text-align:center;" | B | ||
| | 52/27 | | | 52/27 | ||
| Line 157: | Line 193: | ||
| | 18 | | | 18 | ||
| | 1200 | | | 1200 | ||
|1272 | |||
|1536 (600<sub>16</sub>) | |||
| style="text-align:center;" | C | | style="text-align:center;" | C | ||
| | 2/1 | | | 2/1 | ||
| Line 178: | Line 216: | ||
! | Degree | ! | Degree | ||
! | Cents | ! | Cents | ||
!pions | |||
!7mus | |||
! colspan="3" | [[Ups_and_Downs_Notation|Up/down notation]] using the narrow 5th of 10\18, | ! colspan="3" | [[Ups_and_Downs_Notation|Up/down notation]] using the narrow 5th of 10\18, | ||
| Line 186: | Line 226: | ||
|- | |- | ||
| style="text-align:center;" | 0 | | style="text-align:center;" | 0 | ||
| style="text-align:center;" | 0 | | colspan="3" style="text-align:center;" | 0 | ||
| style="text-align:center;" | perfect unison | | style="text-align:center;" | perfect unison | ||
| style="text-align:center;" | P1 | | style="text-align:center;" | P1 | ||
| Line 196: | Line 236: | ||
| style="text-align:center;" | 1 | | style="text-align:center;" | 1 | ||
| style="text-align:center;" | 67 | | style="text-align:center;" | 67 | ||
|71 | |||
|85 (55<sub>16</sub>) | |||
| style="text-align:center;" | up unison, downminor 2nd | | style="text-align:center;" | up unison, downminor 2nd | ||
| style="text-align:center;" | ^1, vm2 | | style="text-align:center;" | ^1, vm2 | ||
| Line 205: | Line 247: | ||
| style="text-align:center;" | 2 | | style="text-align:center;" | 2 | ||
| style="text-align:center;" | 133 | | style="text-align:center;" | 133 | ||
|141 | |||
|171 (AB<sub>16</sub>) | |||
| style="text-align:center;" | minor 2nd | | style="text-align:center;" | minor 2nd | ||
| style="text-align:center;" | m2 | | style="text-align:center;" | m2 | ||
| Line 214: | Line 258: | ||
| style="text-align:center;" | 3 | | style="text-align:center;" | 3 | ||
| style="text-align:center;" | 200 | | style="text-align:center;" | 200 | ||
|212 | |||
|256 (100<sub>16</sub>) | |||
| style="text-align:center;" | mid 2nd | | style="text-align:center;" | mid 2nd | ||
| style="text-align:center;" | ~2 | | style="text-align:center;" | ~2 | ||
| Line 223: | Line 269: | ||
| style="text-align:center;" | 4 | | style="text-align:center;" | 4 | ||
| style="text-align:center;" | 267 | | style="text-align:center;" | 267 | ||
|283 | |||
|341 (155<sub>16</sub>) | |||
| style="text-align:center;" | major 2nd, minor 3rd | | style="text-align:center;" | major 2nd, minor 3rd | ||
| style="text-align:center;" | M2, m3 | | style="text-align:center;" | M2, m3 | ||
| Line 232: | Line 280: | ||
| style="text-align:center;" | 5 | | style="text-align:center;" | 5 | ||
| style="text-align:center;" | 333 | | style="text-align:center;" | 333 | ||
|353 | |||
|427 (1AB<sub>16</sub>) | |||
| style="text-align:center;" | mid 3rd | | style="text-align:center;" | mid 3rd | ||
| style="text-align:center;" | ~3 | | style="text-align:center;" | ~3 | ||
| Line 241: | Line 291: | ||
| style="text-align:center;" | 6 | | style="text-align:center;" | 6 | ||
| style="text-align:center;" | 400 | | style="text-align:center;" | 400 | ||
|424 | |||
|512 (200<sub>16</sub>) | |||
| style="text-align:center;" | major 3rd | | style="text-align:center;" | major 3rd | ||
| style="text-align:center;" | M3 | | style="text-align:center;" | M3 | ||
| Line 250: | Line 302: | ||
| style="text-align:center;" | 7 | | style="text-align:center;" | 7 | ||
| style="text-align:center;" | 467 | | style="text-align:center;" | 467 | ||
|495 | |||
|597 (255<sub>16</sub>) | |||
| style="text-align:center;" | upmajor 3rd, down 4th | | style="text-align:center;" | upmajor 3rd, down 4th | ||
| style="text-align:center;" | ^M3, v4 | | style="text-align:center;" | ^M3, v4 | ||
| Line 259: | Line 313: | ||
| style="text-align:center;" | 8 | | style="text-align:center;" | 8 | ||
| style="text-align:center;" | 533 | | style="text-align:center;" | 533 | ||
|565 | |||
|683 (2AB<sub>16</sub>) | |||
| style="text-align:center;" | perfect 4th | | style="text-align:center;" | perfect 4th | ||
| style="text-align:center;" | P4 | | style="text-align:center;" | P4 | ||
| Line 268: | Line 324: | ||
| style="text-align:center;" | 9 | | style="text-align:center;" | 9 | ||
| style="text-align:center;" | 600 | | style="text-align:center;" | 600 | ||
|636 | |||
|768 (300<sub>16</sub>) | |||
| style="text-align:center;" | up 4th, down 5th | | style="text-align:center;" | up 4th, down 5th | ||
| style="text-align:center;" | ^4, v5 | | style="text-align:center;" | ^4, v5 | ||
| Line 277: | Line 335: | ||
| style="text-align:center;" | 10 | | style="text-align:center;" | 10 | ||
| style="text-align:center;" | 667 | | style="text-align:center;" | 667 | ||
|707 | |||
|853 (355<sub>16</sub>) | |||
| style="text-align:center;" | perfect 5th | | style="text-align:center;" | perfect 5th | ||
| style="text-align:center;" | P5 | | style="text-align:center;" | P5 | ||
| Line 286: | Line 346: | ||
| style="text-align:center;" | 11 | | style="text-align:center;" | 11 | ||
| style="text-align:center;" | 733 | | style="text-align:center;" | 733 | ||
|777 | |||
|939 (3AB<sub>16</sub>) | |||
| style="text-align:center;" | up 5th, downminor 6th | | style="text-align:center;" | up 5th, downminor 6th | ||
| style="text-align:center;" | ^5, vm6 | | style="text-align:center;" | ^5, vm6 | ||
| Line 295: | Line 357: | ||
| style="text-align:center;" | 12 | | style="text-align:center;" | 12 | ||
| style="text-align:center;" | 800 | | style="text-align:center;" | 800 | ||
|848 | |||
|1024 (400<sub>16</sub>) | |||
| style="text-align:center;" | minor 6th | | style="text-align:center;" | minor 6th | ||
| style="text-align:center;" | m6 | | style="text-align:center;" | m6 | ||
| Line 304: | Line 368: | ||
| style="text-align:center;" | 13 | | style="text-align:center;" | 13 | ||
| style="text-align:center;" | 867 | | style="text-align:center;" | 867 | ||
|919 | |||
|1109 (455<sub>16</sub>) | |||
| style="text-align:center;" | mid 6th | | style="text-align:center;" | mid 6th | ||
| style="text-align:center;" | ~6 | | style="text-align:center;" | ~6 | ||
| Line 313: | Line 379: | ||
| style="text-align:center;" | 14 | | style="text-align:center;" | 14 | ||
| style="text-align:center;" | 933 | | style="text-align:center;" | 933 | ||
|989 | |||
|1195 (4AB<sub>16</sub>) | |||
| style="text-align:center;" | major 6th, minor 7th | | style="text-align:center;" | major 6th, minor 7th | ||
| style="text-align:center;" | M6, m7 | | style="text-align:center;" | M6, m7 | ||
| Line 322: | Line 390: | ||
| style="text-align:center;" | 15 | | style="text-align:center;" | 15 | ||
| style="text-align:center;" | 1000 | | style="text-align:center;" | 1000 | ||
|1060 | |||
|1280 (500<sub>16</sub>) | |||
| style="text-align:center;" | mid 7th | | style="text-align:center;" | mid 7th | ||
| style="text-align:center;" | ~7 | | style="text-align:center;" | ~7 | ||
| Line 331: | Line 401: | ||
| style="text-align:center;" | 16 | | style="text-align:center;" | 16 | ||
| style="text-align:center;" | 1067 | | style="text-align:center;" | 1067 | ||
|1131 | |||
|1365 (555<sub>16</sub>) | |||
| style="text-align:center;" | major 7th | | style="text-align:center;" | major 7th | ||
| style="text-align:center;" | M7 | | style="text-align:center;" | M7 | ||
| Line 340: | Line 412: | ||
| style="text-align:center;" | 17 | | style="text-align:center;" | 17 | ||
| style="text-align:center;" | 1133 | | style="text-align:center;" | 1133 | ||
|1201 | |||
|1441 (5AB<sub>16</sub>) | |||
| style="text-align:center;" | upmajor 7th, down 8ve | | style="text-align:center;" | upmajor 7th, down 8ve | ||
| style="text-align:center;" | ^M7, v8 | | style="text-align:center;" | ^M7, v8 | ||
| Line 349: | Line 423: | ||
| style="text-align:center;" | 18 | | style="text-align:center;" | 18 | ||
| style="text-align:center;" | 1200 | | style="text-align:center;" | 1200 | ||
|1272 | |||
|1536 (600<sub>16</sub>) | |||
| style="text-align:center;" | perfect 8ve | | style="text-align:center;" | perfect 8ve | ||
| style="text-align:center;" | P8 | | style="text-align:center;" | P8 | ||
| Line 401: | Line 477: | ||
|- | |- | ||
| style="text-align:center;" | 128/125 | | style="text-align:center;" | 128/125 | ||
| | | 7 0 -3 > | | |<nowiki> | 7 0 -3 </nowiki>> | ||
| style="text-align:right;" | 41.06 | | style="text-align:right;" | 41.06 | ||
| style="text-align:center;" | Diesis | | style="text-align:center;" | Diesis | ||
| Line 407: | Line 483: | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | | ||
| | | 23 6 -14 > | | |<nowiki> | 23 6 -14 </nowiki>> | ||
| style="text-align:right;" | 3.34 | | style="text-align:right;" | 3.34 | ||
| style="text-align:center;" | Vishnuzma | | style="text-align:center;" | Vishnuzma | ||
| Line 413: | Line 489: | ||
|- | |- | ||
| style="text-align:center;" | 50/49 | | style="text-align:center;" | 50/49 | ||
| | | 1 0 2 -2 > | | |<nowiki> | 1 0 2 -2 </nowiki>> | ||
| style="text-align:right;" | 34.98 | | style="text-align:right;" | 34.98 | ||
| style="text-align:center;" | Tritonic Diesis | | style="text-align:center;" | Tritonic Diesis | ||
| Line 419: | Line 495: | ||
|- | |- | ||
| style="text-align:center;" | 686/675 | | style="text-align:center;" | 686/675 | ||
| | | 1 -3 -2 3 > | | |<nowiki> | 1 -3 -2 3 </nowiki>> | ||
| style="text-align:right;" | 27.99 | | style="text-align:right;" | 27.99 | ||
| style="text-align:center;" | Senga | | style="text-align:center;" | Senga | ||
| Line 425: | Line 501: | ||
|- | |- | ||
| style="text-align:center;" | 875/864 | | style="text-align:center;" | 875/864 | ||
| | | -5 -3 3 1 > | | |<nowiki> | -5 -3 3 1 </nowiki>> | ||
| style="text-align:right;" | 21.90 | | style="text-align:right;" | 21.90 | ||
| style="text-align:center;" | Keema | | style="text-align:center;" | Keema | ||
| Line 431: | Line 507: | ||
|- | |- | ||
| style="text-align:center;" | 1728/1715 | | style="text-align:center;" | 1728/1715 | ||
| | | 6 3 -1 -3 > | | |<nowiki> | 6 3 -1 -3 </nowiki>> | ||
| style="text-align:right;" | 13.07 | | style="text-align:right;" | 13.07 | ||
| style="text-align:center;" | Orwellisma | | style="text-align:center;" | Orwellisma | ||
| Line 437: | Line 513: | ||
|- | |- | ||
| style="text-align:center;" | 16875/16807 | | style="text-align:center;" | 16875/16807 | ||
| | | 0 3 4 -5 > | | |<nowiki> | 0 3 4 -5 </nowiki>> | ||
| style="text-align:right;" | 6.99 | | style="text-align:right;" | 6.99 | ||
| style="text-align:center;" | Mirkwai | | style="text-align:center;" | Mirkwai | ||
| Line 443: | Line 519: | ||
|- | |- | ||
| style="text-align:center;" | 3136/3125 | | style="text-align:center;" | 3136/3125 | ||
| | | 6 0 -5 2 > | | |<nowiki> | 6 0 -5 2 </nowiki>> | ||
| style="text-align:right;" | 6.08 | | style="text-align:right;" | 6.08 | ||
| style="text-align:center;" | Hemimean | | style="text-align:center;" | Hemimean | ||
| Line 449: | Line 525: | ||
|- | |- | ||
| style="text-align:center;" | 99/98 | | style="text-align:center;" | 99/98 | ||
| | | -1 2 0 -2 1 > | | |<nowiki> | -1 2 0 -2 1 </nowiki>> | ||
| style="text-align:right;" | 17.58 | | style="text-align:right;" | 17.58 | ||
| style="text-align:center;" | Mothwellsma | | style="text-align:center;" | Mothwellsma | ||
| Line 455: | Line 531: | ||
|- | |- | ||
| style="text-align:center;" | 100/99 | | style="text-align:center;" | 100/99 | ||
| | | 2 -2 2 0 -1 > | | |<nowiki> | 2 -2 2 0 -1 </nowiki>> | ||
| style="text-align:right;" | 17.40 | | style="text-align:right;" | 17.40 | ||
| style="text-align:center;" | Ptolemisma | | style="text-align:center;" | Ptolemisma | ||
| Line 461: | Line 537: | ||
|- | |- | ||
| style="text-align:center;" | 65536/65219 | | style="text-align:center;" | 65536/65219 | ||
| | | 16 0 0 -2 -3 > | | |<nowiki> | 16 0 0 -2 -3 </nowiki>> | ||
| style="text-align:right;" | 8.39 | | style="text-align:right;" | 8.39 | ||
| style="text-align:center;" | Orgonisma | | style="text-align:center;" | Orgonisma | ||
| Line 467: | Line 543: | ||
|- | |- | ||
| style="text-align:center;" | 385/384 | | style="text-align:center;" | 385/384 | ||
| | | -7 -1 1 1 1 > | | |<nowiki> | -7 -1 1 1 1 </nowiki>> | ||
| style="text-align:right;" | 4.50 | | style="text-align:right;" | 4.50 | ||
| style="text-align:center;" | Keenanisma | | style="text-align:center;" | Keenanisma | ||
| Line 473: | Line 549: | ||
|- | |- | ||
| style="text-align:center;" | 9801/9800 | | style="text-align:center;" | 9801/9800 | ||
| | | -3 4 -2 -2 2 > | | |<nowiki> | -3 4 -2 -2 2 </nowiki>> | ||
| style="text-align:right;" | 0.18 | | style="text-align:right;" | 0.18 | ||
| style="text-align:center;" | Kalisma | | style="text-align:center;" | Kalisma | ||
| Line 479: | Line 555: | ||
|- | |- | ||
| style="text-align:center;" | 91/90 | | style="text-align:center;" | 91/90 | ||
| | | -1 -2 -1 1 1 > | | |<nowiki> | -1 -2 -1 1 1 </nowiki>> | ||
| style="text-align:right;" | 19.13 | | style="text-align:right;" | 19.13 | ||
| style="text-align:center;" | Superleap | | style="text-align:center;" | Superleap | ||