42edo: Difference between revisions
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| Line 15: | Line 15: | ||
! | Degree | ! | Degree | ||
! | Size (Cents) | ! | Size (Cents) | ||
!pions | |||
!7mus | |||
! colspan="2" | relative notation | ! colspan="2" | relative notation | ||
! | absolute notation | ! | absolute notation | ||
|- | |- | ||
| 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 25: | Line 27: | ||
|- | |- | ||
| style="text-align:center;" | 1 | | style="text-align:center;" | 1 | ||
| style="text-align:center;" | 29 | | style="text-align:center;" | 29.571 | ||
|30.286 | |||
|36.571 (24.925<sub>16</sub>) | |||
| style="text-align:center;" | up 1sn, minor 2nd | | style="text-align:center;" | up 1sn, minor 2nd | ||
| style="text-align:center;" | ^1, m2 | | style="text-align:center;" | ^1, m2 | ||
| Line 31: | Line 35: | ||
|- | |- | ||
| style="text-align:center;" | 2 | | style="text-align:center;" | 2 | ||
| style="text-align:center;" | 57 | | style="text-align:center;" |57.143 | ||
|60.571 | |||
|73.143 (49.249<sub>16</sub>) | |||
| style="text-align:center;" | double-up 1sn, upminor 2nd | | style="text-align:center;" | double-up 1sn, upminor 2nd | ||
| style="text-align:center;" | ^^1, ^m2 | | style="text-align:center;" | ^^1, ^m2 | ||
| Line 37: | Line 43: | ||
|- | |- | ||
| style="text-align:center;" | 3 | | style="text-align:center;" | 3 | ||
| style="text-align:center;" | | | style="text-align:center;" |85.714 | ||
|90.857 | |||
|109.714 (6D.B6E<sub>16</sub>) | |||
| style="text-align:center;" | double-up minor 2nd | | style="text-align:center;" | double-up minor 2nd | ||
| style="text-align:center;" | ^^m2 | | style="text-align:center;" | ^^m2 | ||
| Line 43: | Line 51: | ||
|- | |- | ||
| style="text-align:center;" | 4 | | style="text-align:center;" | 4 | ||
| style="text-align:center;" | 114 | | style="text-align:center;" |114.286 | ||
|121.143 | |||
|146.286 (92.492<sub>16</sub>) | |||
| style="text-align:center;" | downmid 2nd | | style="text-align:center;" | downmid 2nd | ||
| style="text-align:center;" | v~2 | | style="text-align:center;" | v~2 | ||
| Line 49: | Line 59: | ||
|- | |- | ||
| style="text-align:center;" | 5 | | style="text-align:center;" | 5 | ||
| style="text-align:center;" | 143 | | style="text-align:center;" | 143.857 | ||
|151.429 | |||
|182.857 (B6.DB7<sub>16</sub>) | |||
| style="text-align:center;" | upmid 2nd | | style="text-align:center;" | upmid 2nd | ||
| style="text-align:center;" | ^~2 | | style="text-align:center;" | ^~2 | ||
| Line 55: | Line 67: | ||
|- | |- | ||
| style="text-align:center;" | 6 | | style="text-align:center;" | 6 | ||
| style="text-align:center;" | 171 | | style="text-align:center;" |171.429 | ||
|181.714 | |||
|219.429 (DB.6DB<sub>16</sub>) | |||
| style="text-align:center;" | double-down major 2nd | | style="text-align:center;" | double-down major 2nd | ||
| style="text-align:center;" | vvM2 | | style="text-align:center;" | vvM2 | ||
| Line 62: | Line 76: | ||
| style="text-align:center;" | 7 | | style="text-align:center;" | 7 | ||
| style="text-align:center;" | 200 | | style="text-align:center;" | 200 | ||
|212 | |||
|256 (100<sub>16</sub>) | |||
| style="text-align:center;" | downmajor 2nd | | style="text-align:center;" | downmajor 2nd | ||
| style="text-align:center;" | vM2 | | style="text-align:center;" | vM2 | ||
| Line 67: | Line 83: | ||
|- | |- | ||
| style="text-align:center;" | 8 | | style="text-align:center;" | 8 | ||
| style="text-align:center;" | | | style="text-align:center;" |228.571 | ||
|242.286 | |||
|292.571 (124.925<sub>16</sub>) | |||
| style="text-align:center;" | major 2nd | | style="text-align:center;" | major 2nd | ||
| style="text-align:center;" | M2 | | style="text-align:center;" | M2 | ||
| Line 73: | Line 91: | ||
|- | |- | ||
| style="text-align:center;" | 9 | | style="text-align:center;" | 9 | ||
| style="text-align:center;" | 257 | | style="text-align:center;" |257.143 | ||
|282.571 | |||
|329.143 (149.249<sub>16</sub>) | |||
| style="text-align:center;" | minor 3rd | | style="text-align:center;" | minor 3rd | ||
| style="text-align:center;" | m3 | | style="text-align:center;" | m3 | ||
| Line 79: | Line 99: | ||
|- | |- | ||
| style="text-align:center;" | 10 | | style="text-align:center;" | 10 | ||
| style="text-align:center;" | | | style="text-align:center;" |285.714 | ||
|302.857 | |||
|365.714 (16D.B6E<sub>16</sub>) | |||
| style="text-align:center;" | upminor 3rd | | style="text-align:center;" | upminor 3rd | ||
| style="text-align:center;" | ^m3 | | style="text-align:center;" | ^m3 | ||
| Line 85: | Line 107: | ||
|- | |- | ||
| style="text-align:center;" | 11 | | style="text-align:center;" | 11 | ||
| style="text-align:center;" | 314 | | style="text-align:center;" | 314.286 | ||
|333.143 | |||
|402.286 (192.492<sub>16</sub>) | |||
| style="text-align:center;" | double-up minor 3rd | | style="text-align:center;" | double-up minor 3rd | ||
| style="text-align:center;" | ^^m3 | | style="text-align:center;" | ^^m3 | ||
| Line 91: | Line 115: | ||
|- | |- | ||
| style="text-align:center;" | 12 | | style="text-align:center;" | 12 | ||
| style="text-align:center;" | | | style="text-align:center;" |342.857 | ||
|363.429 | |||
|438.857 (1B6.DB7<sub>16</sub>) | |||
| style="text-align:center;" | downmid 3rd | | style="text-align:center;" | downmid 3rd | ||
| style="text-align:center;" | v~3 | | style="text-align:center;" | v~3 | ||
| Line 97: | Line 123: | ||
|- | |- | ||
| style="text-align:center;" | 13 | | style="text-align:center;" | 13 | ||
| style="text-align:center;" | 371 | | style="text-align:center;" | 371.429 | ||
|393.714 | |||
|475.429 (1DB.6DB<sub>16</sub>) | |||
| style="text-align:center;" | upmid 3rd | | style="text-align:center;" | upmid 3rd | ||
| style="text-align:center;" | ^~3 | | style="text-align:center;" | ^~3 | ||
| Line 104: | Line 132: | ||
| style="text-align:center;" | 14 | | style="text-align:center;" | 14 | ||
| style="text-align:center;" | 400 | | style="text-align:center;" | 400 | ||
|424 | |||
|512 (200<sub>16</sub>) | |||
| style="text-align:center;" | double-down major 3rd | | style="text-align:center;" | double-down major 3rd | ||
| style="text-align:center;" | vvM3 | | style="text-align:center;" | vvM3 | ||
| Line 109: | Line 139: | ||
|- | |- | ||
| style="text-align:center;" | 15 | | style="text-align:center;" | 15 | ||
| style="text-align:center;" | | | style="text-align:center;" |428.571 | ||
|454.286 | |||
|548.571 (224.925<sub>16</sub>) | |||
| style="text-align:center;" | downmajor 3rd | | style="text-align:center;" | downmajor 3rd | ||
| style="text-align:center;" | vM3 | | style="text-align:center;" | vM3 | ||
| Line 115: | Line 147: | ||
|- | |- | ||
| style="text-align:center;" | 16 | | style="text-align:center;" | 16 | ||
| style="text-align:center;" | 457 | | style="text-align:center;" |457.143 | ||
|484.571 | |||
|585.143 (249.249<sub>16</sub>) | |||
| style="text-align:center;" | major 3rd, down 4th | | style="text-align:center;" | major 3rd, down 4th | ||
| style="text-align:center;" | M3, v4 | | style="text-align:center;" | M3, v4 | ||
| Line 121: | Line 155: | ||
|- | |- | ||
| style="text-align:center;" | 17 | | style="text-align:center;" | 17 | ||
| style="text-align:center;" | | | style="text-align:center;" | 485.714 | ||
|514.857 | |||
|621.714 (26D.B6E<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 127: | Line 163: | ||
|- | |- | ||
| style="text-align:center;" | 18 | | style="text-align:center;" | 18 | ||
| style="text-align:center;" | | | style="text-align:center;" |51<span style="line-height: 1.5;">4.286</span> | ||
|545.143 | |||
|658.286 (292.492<sub>16</sub>) | |||
| style="text-align:center;" | up 4th | | style="text-align:center;" | up 4th | ||
| style="text-align:center;" | ^4 | | style="text-align:center;" | ^4 | ||
| Line 133: | Line 171: | ||
|- | |- | ||
| style="text-align:center;" | 19 | | style="text-align:center;" | 19 | ||
| style="text-align:center;" | 543 | | style="text-align:center;" | 543.857 | ||
|575.429 | |||
|694.857 (2B6.DB7<sub>16</sub>) | |||
| style="text-align:center;" | double-up 4th | | style="text-align:center;" | double-up 4th | ||
| style="text-align:center;" | ^^4 | | style="text-align:center;" | ^^4 | ||
| Line 139: | Line 179: | ||
|- | |- | ||
| style="text-align:center;" | 20 | | style="text-align:center;" | 20 | ||
| style="text-align:center;" | 571 | | style="text-align:center;" |571.429 | ||
|605.714 | |||
|731.429 (2DB.6DB<sub>16</sub>) | |||
| style="text-align:center;" | triple-up 4th | | style="text-align:center;" | triple-up 4th | ||
| style="text-align:center;" | ^<span style="font-size: 90%; vertical-align: super;">3</span>4 | | style="text-align:center;" | ^<span style="font-size: 90%; vertical-align: super;">3</span>4 | ||
| Line 146: | Line 188: | ||
| style="text-align:center;" | 21 | | style="text-align:center;" | 21 | ||
| style="text-align:center;" | 600 | | style="text-align:center;" | 600 | ||
|6 | |||
|768 (300<sub>16</sub>) | |||
| style="text-align:center;" | triple-down aug 4th, triple-up dim 5th | | style="text-align:center;" | triple-down aug 4th, triple-up dim 5th | ||
| style="text-align:center;" | v<span style="font-size: 90%; vertical-align: super;">3</span>A4, ^<span style="font-size: 90%; vertical-align: super;">3</span>d5 | | style="text-align:center;" | v<span style="font-size: 90%; vertical-align: super;">3</span>A4, ^<span style="font-size: 90%; vertical-align: super;">3</span>d5 | ||
| Line 151: | Line 195: | ||
|- | |- | ||
| style="text-align:center;" | 22 | | style="text-align:center;" | 22 | ||
| style="text-align:center;" | | | style="text-align:center;" |628.571 | ||
|666.286 | |||
|804.571 (324.925<sub>16</sub>) | |||
| style="text-align:center;" | triple-down 5th | | style="text-align:center;" | triple-down 5th | ||
| style="text-align:center;" | v<span style="font-size: 90%; vertical-align: super;">3</span>5 | | style="text-align:center;" | v<span style="font-size: 90%; vertical-align: super;">3</span>5 | ||
| Line 157: | Line 203: | ||
|- | |- | ||
| style="text-align:center;" | 23 | | style="text-align:center;" | 23 | ||
| style="text-align:center;" | 657 | | style="text-align:center;" | 657.143 | ||
|696.571 | |||
|841.143 (349.249<sub>16</sub>) | |||
| style="text-align:center;" | double-down 5th | | style="text-align:center;" | double-down 5th | ||
| style="text-align:center;" | vv5 | | style="text-align:center;" | vv5 | ||
| Line 163: | Line 211: | ||
|- | |- | ||
| style="text-align:center;" | 24 | | style="text-align:center;" | 24 | ||
| style="text-align:center;" | | | style="text-align:center;" |685.714 | ||
|726.857 | |||
|877.714 (36D.B6E<sub>16</sub>) | |||
| style="text-align:center;" | down 5th | | style="text-align:center;" | down 5th | ||
| style="text-align:center;" | v5 | | style="text-align:center;" | v5 | ||
| Line 169: | Line 219: | ||
|- | |- | ||
| style="text-align:center;" | 25 | | style="text-align:center;" | 25 | ||
| style="text-align:center;" | 714 | | style="text-align:center;" | 714.286 | ||
|757.143 | |||
|950.286 (392.492<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 175: | Line 227: | ||
|- | |- | ||
| style="text-align:center;" | 26 | | style="text-align:center;" | 26 | ||
| style="text-align:center;" | | | style="text-align:center;" |742.857 | ||
|787.429 | |||
|950.857 (3B6.DB7<sub>16</sub>) | |||
| style="text-align:center;" | up 5th, minor 6th | | style="text-align:center;" | up 5th, minor 6th | ||
| style="text-align:center;" | ^5, m6 | | style="text-align:center;" | ^5, m6 | ||
| Line 181: | Line 235: | ||
|- | |- | ||
| style="text-align:center;" | 27 | | style="text-align:center;" | 27 | ||
| style="text-align:center;" | 771 | | style="text-align:center;" |771.429 | ||
|817.714 | |||
|987.429 (3DB.6DB<sub>16</sub>) | |||
| style="text-align:center;" | upminor 6th | | style="text-align:center;" | upminor 6th | ||
| style="text-align:center;" | ^m6 | | style="text-align:center;" | ^m6 | ||
| Line 188: | Line 244: | ||
| style="text-align:center;" | 28 | | style="text-align:center;" | 28 | ||
| style="text-align:center;" | 800 | | style="text-align:center;" | 800 | ||
|848 | |||
|1024 (400<sub>16</sub>) | |||
| style="text-align:center;" | double-up minor 6th | | style="text-align:center;" | double-up minor 6th | ||
| style="text-align:center;" | ^^m6 | | style="text-align:center;" | ^^m6 | ||
| Line 193: | Line 251: | ||
|- | |- | ||
| style="text-align:center;" | 29 | | style="text-align:center;" | 29 | ||
| style="text-align:center;" | 829 | | style="text-align:center;" | 829.571 | ||
|878.286 | |||
|1060.571 (424.925<sub>16</sub>) | |||
| style="text-align:center;" | downmid 6th | | style="text-align:center;" | downmid 6th | ||
| style="text-align:center;" | v~6 | | style="text-align:center;" | v~6 | ||
| Line 199: | Line 259: | ||
|- | |- | ||
| style="text-align:center;" | 30 | | style="text-align:center;" | 30 | ||
| style="text-align:center;" | 857 | | style="text-align:center;" |857.143 | ||
|908.571 | |||
|1097.143 (449.249<sub>16</sub>) | |||
| style="text-align:center;" | upmid 6th | | style="text-align:center;" | upmid 6th | ||
| style="text-align:center;" | ^~6 | | style="text-align:center;" | ^~6 | ||
| Line 205: | Line 267: | ||
|- | |- | ||
| style="text-align:center;" | 31 | | style="text-align:center;" | 31 | ||
| style="text-align:center;" | | | style="text-align:center;" | 885.714 | ||
|938.857 | |||
|1133.714 (46D.B6E<sub>16</sub>) | |||
| style="text-align:center;" | double-down major 6th | | style="text-align:center;" | double-down major 6th | ||
| style="text-align:center;" | vvM6 | | style="text-align:center;" | vvM6 | ||
| Line 211: | Line 275: | ||
|- | |- | ||
| style="text-align:center;" | 32 | | style="text-align:center;" | 32 | ||
| style="text-align:center;" | 914 | | style="text-align:center;" |914.286 | ||
|969.143 | |||
|1170.286 (492.492<sub>16</sub>) | |||
| style="text-align:center;" | downmajor 6th | | style="text-align:center;" | downmajor 6th | ||
| style="text-align:center;" | vM6 | | style="text-align:center;" | vM6 | ||
| Line 217: | Line 283: | ||
|- | |- | ||
| style="text-align:center;" | 33 | | style="text-align:center;" | 33 | ||
| style="text-align:center;" | | | style="text-align:center;" |942.857 | ||
|999.429 | |||
|1206.857 (4B6.DB7<sub>16</sub>) | |||
| style="text-align:center;" | major 6th | | style="text-align:center;" | major 6th | ||
| style="text-align:center;" | M6 | | style="text-align:center;" | M6 | ||
| Line 223: | Line 291: | ||
|- | |- | ||
| style="text-align:center;" | 34 | | style="text-align:center;" | 34 | ||
| style="text-align:center;" | 971 | | style="text-align:center;" |971.429 | ||
|1029.714 | |||
|1243.429 (4DB.6DB<sub>16</sub>) | |||
| style="text-align:center;" | minor 7th | | style="text-align:center;" | minor 7th | ||
| style="text-align:center;" | m7 | | style="text-align:center;" | m7 | ||
| Line 230: | Line 300: | ||
| style="text-align:center;" | 35 | | style="text-align:center;" | 35 | ||
| style="text-align:center;" | 1000 | | style="text-align:center;" | 1000 | ||
|1060 | |||
|1280 (500<sub>16</sub>) | |||
| style="text-align:center;" | upminor 7th | | style="text-align:center;" | upminor 7th | ||
| style="text-align:center;" | ^m7 | | style="text-align:center;" | ^m7 | ||
| Line 235: | Line 307: | ||
|- | |- | ||
| style="text-align:center;" | 36 | | style="text-align:center;" | 36 | ||
| style="text-align:center;" | | | style="text-align:center;" |1028.571 | ||
|1090.286 | |||
|1316.571 (524.925<sub>16</sub>) | |||
| style="text-align:center;" | double-up minor 7th | | style="text-align:center;" | double-up minor 7th | ||
| style="text-align:center;" | ^^m7 | | style="text-align:center;" | ^^m7 | ||
| Line 241: | Line 315: | ||
|- | |- | ||
| style="text-align:center;" | 37 | | style="text-align:center;" | 37 | ||
| style="text-align:center;" | 1057 | | style="text-align:center;" | 1057.143 | ||
|1120.571 | |||
|1353.143 (549.249<sub>16</sub>) | |||
| style="text-align:center;" | downmid 7th | | style="text-align:center;" | downmid 7th | ||
| style="text-align:center;" | v~7 | | style="text-align:center;" | v~7 | ||
| Line 247: | Line 323: | ||
|- | |- | ||
| style="text-align:center;" | 38 | | style="text-align:center;" | 38 | ||
| style="text-align:center;" | | | style="text-align:center;" |1085.714 | ||
|1150.857 | |||
|1389.714 (56D.B6E<sub>16</sub>) | |||
| style="text-align:center;" | upmid 7th | | style="text-align:center;" | upmid 7th | ||
| style="text-align:center;" | ^~7 | | style="text-align:center;" | ^~7 | ||
| Line 253: | Line 331: | ||
|- | |- | ||
| style="text-align:center;" | 39 | | style="text-align:center;" | 39 | ||
| style="text-align:center;" | 1114 | | style="text-align:center;" |1114.286 | ||
|1181.143 | |||
|1426.286 (592.492<sub>16</sub>) | |||
| style="text-align:center;" | double-down major 7th | | style="text-align:center;" | double-down major 7th | ||
| style="text-align:center;" | vvM7 | | style="text-align:center;" | vvM7 | ||
| Line 259: | Line 339: | ||
|- | |- | ||
| style="text-align:center;" | 40 | | style="text-align:center;" | 40 | ||
| style="text-align:center;" | | | style="text-align:center;" |1142.857 | ||
|1211.429 | |||
|1462.857 (5B6.DB7<sub>16</sub>) | |||
| style="text-align:center;" | downmajor 7th | | style="text-align:center;" | downmajor 7th | ||
| style="text-align:center;" | vM7 | | style="text-align:center;" | vM7 | ||
| Line 265: | Line 347: | ||
|- | |- | ||
| style="text-align:center;" | 41 | | style="text-align:center;" | 41 | ||
| style="text-align:center;" | 1171 | | style="text-align:center;" | 1171.429 | ||
|1241.714 | |||
|1499.429 (5DB.6DB<sub>16</sub>) | |||
| style="text-align:center;" | major 7th, down 8ve | | style="text-align:center;" | major 7th, down 8ve | ||
| style="text-align:center;" | M7, v8 | | style="text-align:center;" | M7, v8 | ||
| Line 272: | Line 356: | ||
| style="text-align:center;" | 42 | | style="text-align:center;" | 42 | ||
| 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 | ||