42edo: Difference between revisions

Jkarimak (talk | contribs)
Intervals of 42edo: Removed pions column
Line 15: Line 15:
! | Degree
! | Degree
! | Size (Cents)
! | Size (Cents)
!pions
!7mus
!7mus
! colspan="2" | relative notation
! colspan="2" | relative notation
! | absolute notation
! | absolute notation
|-
|-
| colspan="4" style="text-align:center;" | 0
| style="text-align:center;" | 0
|0
|0
| style="text-align:center;" | perfect unison
| style="text-align:center;" | perfect unison
| style="text-align:center;" | P1
| style="text-align:center;" | P1
Line 27: Line 28:
| style="text-align:center;" | 1
| style="text-align:center;" | 1
| style="text-align:center;" | 29.571
| style="text-align:center;" | 29.571
|30.286
|36.571 (24.925<sub>16</sub>)
|36.571 (24.925<sub>16</sub>)
| style="text-align:center;" | up 1sn, minor 2nd
| style="text-align:center;" | up 1sn, minor 2nd
Line 35: Line 35:
| style="text-align:center;" | 2
| style="text-align:center;" | 2
| style="text-align:center;" |57.143
| style="text-align:center;" |57.143
|60.571
|73.143 (49.249<sub>16</sub>)
|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
Line 43: Line 42:
| style="text-align:center;" | 3
| style="text-align:center;" | 3
| style="text-align:center;" |85.714
| style="text-align:center;" |85.714
|90.857
|109.714 (6D.B6E<sub>16</sub>)
|109.714 (6D.B6E<sub>16</sub>)
| style="text-align:center;" | double-up minor 2nd
| style="text-align:center;" | double-up minor 2nd
Line 51: Line 49:
| style="text-align:center;" | 4
| style="text-align:center;" | 4
| style="text-align:center;" |114.286
| style="text-align:center;" |114.286
|121.143
|146.286 (92.492<sub>16</sub>)
|146.286 (92.492<sub>16</sub>)
| style="text-align:center;" | downmid 2nd
| style="text-align:center;" | downmid 2nd
Line 59: Line 56:
| style="text-align:center;" | 5
| style="text-align:center;" | 5
| style="text-align:center;" | 143.857
| style="text-align:center;" | 143.857
|151.429
|182.857 (B6.DB7<sub>16</sub>)
|182.857 (B6.DB7<sub>16</sub>)
| style="text-align:center;" | upmid 2nd
| style="text-align:center;" | upmid 2nd
Line 67: Line 63:
| style="text-align:center;" | 6
| style="text-align:center;" | 6
| style="text-align:center;" |171.429
| style="text-align:center;" |171.429
|181.714
|219.429 (DB.6DB<sub>16</sub>)
|219.429 (DB.6DB<sub>16</sub>)
| style="text-align:center;" | double-down major 2nd
| style="text-align:center;" | double-down major 2nd
Line 75: Line 70:
| 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>)
|256 (100<sub>16</sub>)
| style="text-align:center;" | downmajor 2nd
| style="text-align:center;" | downmajor 2nd
Line 83: Line 77:
| style="text-align:center;" | 8
| style="text-align:center;" | 8
| style="text-align:center;" |228.571
| style="text-align:center;" |228.571
|242.286
|292.571 (124.925<sub>16</sub>)
|292.571 (124.925<sub>16</sub>)
| style="text-align:center;" | major 2nd
| style="text-align:center;" | major 2nd
Line 91: Line 84:
| style="text-align:center;" | 9
| style="text-align:center;" | 9
| style="text-align:center;" |257.143
| style="text-align:center;" |257.143
|282.571
|329.143 (149.249<sub>16</sub>)
|329.143 (149.249<sub>16</sub>)
| style="text-align:center;" | minor 3rd
| style="text-align:center;" | minor 3rd
Line 99: Line 91:
| style="text-align:center;" | 10
| style="text-align:center;" | 10
| style="text-align:center;" |285.714
| style="text-align:center;" |285.714
|302.857
|365.714 (16D.B6E<sub>16</sub>)
|365.714 (16D.B6E<sub>16</sub>)
| style="text-align:center;" | upminor 3rd
| style="text-align:center;" | upminor 3rd
Line 107: Line 98:
| style="text-align:center;" | 11
| style="text-align:center;" | 11
| style="text-align:center;" | 314.286
| style="text-align:center;" | 314.286
|333.143
|402.286 (192.492<sub>16</sub>)
|402.286 (192.492<sub>16</sub>)
| style="text-align:center;" | double-up minor 3rd
| style="text-align:center;" | double-up minor 3rd
Line 115: Line 105:
| style="text-align:center;" | 12
| style="text-align:center;" | 12
| style="text-align:center;" |342.857
| style="text-align:center;" |342.857
|363.429
|438.857 (1B6.DB7<sub>16</sub>)
|438.857 (1B6.DB7<sub>16</sub>)
| style="text-align:center;" | downmid 3rd
| style="text-align:center;" | downmid 3rd
Line 123: Line 112:
| style="text-align:center;" | 13
| style="text-align:center;" | 13
| style="text-align:center;" | 371.429
| style="text-align:center;" | 371.429
|393.714
|475.429 (1DB.6DB<sub>16</sub>)
|475.429 (1DB.6DB<sub>16</sub>)
| style="text-align:center;" | upmid 3rd
| style="text-align:center;" | upmid 3rd
Line 131: Line 119:
| 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>)
|512 (200<sub>16</sub>)
| style="text-align:center;" | double-down major 3rd
| style="text-align:center;" | double-down major 3rd
Line 139: Line 126:
| style="text-align:center;" | 15
| style="text-align:center;" | 15
| style="text-align:center;" |428.571
| style="text-align:center;" |428.571
|454.286
|548.571 (224.925<sub>16</sub>)
|548.571 (224.925<sub>16</sub>)
| style="text-align:center;" | downmajor 3rd
| style="text-align:center;" | downmajor 3rd
Line 147: Line 133:
| style="text-align:center;" | 16
| style="text-align:center;" | 16
| style="text-align:center;" |457.143
| style="text-align:center;" |457.143
|484.571
|585.143 (249.249<sub>16</sub>)
|585.143 (249.249<sub>16</sub>)
| style="text-align:center;" | major 3rd, down 4th
| style="text-align:center;" | major 3rd, down 4th
Line 155: Line 140:
| style="text-align:center;" | 17
| style="text-align:center;" | 17
| style="text-align:center;" | 485.714
| style="text-align:center;" | 485.714
|514.857
|621.714 (26D.B6E<sub>16</sub>)
|621.714 (26D.B6E<sub>16</sub>)
| style="text-align:center;" | perfect 4th
| style="text-align:center;" | perfect 4th
Line 163: Line 147:
| style="text-align:center;" | 18
| style="text-align:center;" | 18
| style="text-align:center;" |51<span style="line-height: 1.5;">4.286</span>
| style="text-align:center;" |51<span style="line-height: 1.5;">4.286</span>
|545.143
|658.286 (292.492<sub>16</sub>)
|658.286 (292.492<sub>16</sub>)
| style="text-align:center;" | up 4th
| style="text-align:center;" | up 4th
Line 171: Line 154:
| style="text-align:center;" | 19
| style="text-align:center;" | 19
| style="text-align:center;" | 543.857
| style="text-align:center;" | 543.857
|575.429
|694.857 (2B6.DB7<sub>16</sub>)
|694.857 (2B6.DB7<sub>16</sub>)
| style="text-align:center;" | double-up 4th
| style="text-align:center;" | double-up 4th
Line 179: Line 161:
| style="text-align:center;" | 20
| style="text-align:center;" | 20
| style="text-align:center;" |571.429
| style="text-align:center;" |571.429
|605.714
|731.429 (2DB.6DB<sub>16</sub>)
|731.429 (2DB.6DB<sub>16</sub>)
| style="text-align:center;" | triple-up 4th
| style="text-align:center;" | triple-up 4th
Line 187: Line 168:
| 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>)
|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
Line 195: Line 175:
| style="text-align:center;" | 22
| style="text-align:center;" | 22
| style="text-align:center;" |628.571
| style="text-align:center;" |628.571
|666.286
|804.571 (324.925<sub>16</sub>)
|804.571 (324.925<sub>16</sub>)
| style="text-align:center;" | triple-down 5th
| style="text-align:center;" | triple-down 5th
Line 203: Line 182:
| style="text-align:center;" | 23
| style="text-align:center;" | 23
| style="text-align:center;" | 657.143
| style="text-align:center;" | 657.143
|696.571
|841.143 (349.249<sub>16</sub>)
|841.143 (349.249<sub>16</sub>)
| style="text-align:center;" | double-down 5th
| style="text-align:center;" | double-down 5th
Line 211: Line 189:
| style="text-align:center;" | 24
| style="text-align:center;" | 24
| style="text-align:center;" |685.714
| style="text-align:center;" |685.714
|726.857
|877.714 (36D.B6E<sub>16</sub>)
|877.714 (36D.B6E<sub>16</sub>)
| style="text-align:center;" | down 5th
| style="text-align:center;" | down 5th
Line 219: Line 196:
| style="text-align:center;" | 25
| style="text-align:center;" | 25
| style="text-align:center;" | 714.286
| style="text-align:center;" | 714.286
|757.143
|950.286 (392.492<sub>16</sub>)
|950.286 (392.492<sub>16</sub>)
| style="text-align:center;" | perfect 5th
| style="text-align:center;" | perfect 5th
Line 227: Line 203:
| style="text-align:center;" | 26
| style="text-align:center;" | 26
| style="text-align:center;" |742.857
| style="text-align:center;" |742.857
|787.429
|950.857 (3B6.DB7<sub>16</sub>)
|950.857 (3B6.DB7<sub>16</sub>)
| style="text-align:center;" | up 5th, minor 6th
| style="text-align:center;" | up 5th, minor 6th
Line 235: Line 210:
| style="text-align:center;" | 27
| style="text-align:center;" | 27
| style="text-align:center;" |771.429
| style="text-align:center;" |771.429
|817.714
|987.429 (3DB.6DB<sub>16</sub>)
|987.429 (3DB.6DB<sub>16</sub>)
| style="text-align:center;" | upminor 6th
| style="text-align:center;" | upminor 6th
Line 243: Line 217:
| 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>)
|1024 (400<sub>16</sub>)
| style="text-align:center;" | double-up minor 6th
| style="text-align:center;" | double-up minor 6th
Line 251: Line 224:
| style="text-align:center;" | 29
| style="text-align:center;" | 29
| style="text-align:center;" | 829.571
| style="text-align:center;" | 829.571
|878.286
|1060.571 (424.925<sub>16</sub>)
|1060.571 (424.925<sub>16</sub>)
| style="text-align:center;" | downmid 6th
| style="text-align:center;" | downmid 6th
Line 259: Line 231:
| style="text-align:center;" | 30
| style="text-align:center;" | 30
| style="text-align:center;" |857.143
| style="text-align:center;" |857.143
|908.571
|1097.143 (449.249<sub>16</sub>)
|1097.143 (449.249<sub>16</sub>)
| style="text-align:center;" | upmid 6th
| style="text-align:center;" | upmid 6th
Line 267: Line 238:
| style="text-align:center;" | 31
| style="text-align:center;" | 31
| style="text-align:center;" | 885.714
| style="text-align:center;" | 885.714
|938.857
|1133.714 (46D.B6E<sub>16</sub>)
|1133.714 (46D.B6E<sub>16</sub>)
| style="text-align:center;" | double-down major 6th
| style="text-align:center;" | double-down major 6th
Line 275: Line 245:
| style="text-align:center;" | 32
| style="text-align:center;" | 32
| style="text-align:center;" |914.286
| style="text-align:center;" |914.286
|969.143
|1170.286 (492.492<sub>16</sub>)
|1170.286 (492.492<sub>16</sub>)
| style="text-align:center;" | downmajor 6th
| style="text-align:center;" | downmajor 6th
Line 283: Line 252:
| style="text-align:center;" | 33
| style="text-align:center;" | 33
| style="text-align:center;" |942.857
| style="text-align:center;" |942.857
|999.429
|1206.857 (4B6.DB7<sub>16</sub>)
|1206.857 (4B6.DB7<sub>16</sub>)
| style="text-align:center;" | major 6th
| style="text-align:center;" | major 6th
Line 291: Line 259:
| style="text-align:center;" | 34
| style="text-align:center;" | 34
| style="text-align:center;" |971.429
| style="text-align:center;" |971.429
|1029.714
|1243.429 (4DB.6DB<sub>16</sub>)
|1243.429 (4DB.6DB<sub>16</sub>)
| style="text-align:center;" | minor 7th
| style="text-align:center;" | minor 7th
Line 299: Line 266:
| 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>)
|1280 (500<sub>16</sub>)
| style="text-align:center;" | upminor 7th
| style="text-align:center;" | upminor 7th
Line 307: Line 273:
| style="text-align:center;" | 36
| style="text-align:center;" | 36
| style="text-align:center;" |1028.571
| style="text-align:center;" |1028.571
|1090.286
|1316.571 (524.925<sub>16</sub>)
|1316.571 (524.925<sub>16</sub>)
| style="text-align:center;" | double-up minor 7th
| style="text-align:center;" | double-up minor 7th
Line 315: Line 280:
| style="text-align:center;" | 37
| style="text-align:center;" | 37
| style="text-align:center;" | 1057.143
| style="text-align:center;" | 1057.143
|1120.571
|1353.143 (549.249<sub>16</sub>)
|1353.143 (549.249<sub>16</sub>)
| style="text-align:center;" | downmid 7th
| style="text-align:center;" | downmid 7th
Line 323: Line 287:
| style="text-align:center;" | 38
| style="text-align:center;" | 38
| style="text-align:center;" |1085.714
| style="text-align:center;" |1085.714
|1150.857
|1389.714 (56D.B6E<sub>16</sub>)
|1389.714 (56D.B6E<sub>16</sub>)
| style="text-align:center;" | upmid 7th
| style="text-align:center;" | upmid 7th
Line 331: Line 294:
| style="text-align:center;" | 39
| style="text-align:center;" | 39
| style="text-align:center;" |1114.286
| style="text-align:center;" |1114.286
|1181.143
|1426.286 (592.492<sub>16</sub>)
|1426.286 (592.492<sub>16</sub>)
| style="text-align:center;" | double-down major 7th
| style="text-align:center;" | double-down major 7th
Line 339: Line 301:
| style="text-align:center;" | 40
| style="text-align:center;" | 40
| style="text-align:center;" |1142.857
| style="text-align:center;" |1142.857
|1211.429
|1462.857 (5B6.DB7<sub>16</sub>)
|1462.857 (5B6.DB7<sub>16</sub>)
| style="text-align:center;" | downmajor 7th
| style="text-align:center;" | downmajor 7th
Line 347: Line 308:
| style="text-align:center;" | 41
| style="text-align:center;" | 41
| style="text-align:center;" | 1171.429
| style="text-align:center;" | 1171.429
|1241.714
|1499.429 (5DB.6DB<sub>16</sub>)
|1499.429 (5DB.6DB<sub>16</sub>)
| style="text-align:center;" | major 7th, down 8ve
| style="text-align:center;" | major 7th, down 8ve
Line 355: Line 315:
| 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>)
|1536 (600<sub>16</sub>)
| style="text-align:center;" | perfect 8ve
| style="text-align:center;" | perfect 8ve