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22edo: Difference between revisions

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autopatrolled, Sysops
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m fixed a typo (8\22 in D is F# not F)
Line 28: Line 28:
! Name and Abbreviation
! Name and Abbreviation
! Cents
! Cents
!pions
!7mus
! style="text-align:center;" | Approximate Ratios*
! style="text-align:center;" | Approximate Ratios*
|-
|-
| 0
| 0
| Natural Unison, 1
| Natural Unison, 1
| 0
| colspan="3" | 0
| style="text-align:center;" | 1/1
| style="text-align:center;" | 1/1
|-
|-
| 1
| 1
| s-minor second, sm2
| s-minor second, sm2
| 54.55
| 54.545
|57.82
|69.82 (45.D1<sub>16</sub>)
| style="text-align:center;" | 33/32, 34/33, 32/31
| style="text-align:center;" | 33/32, 34/33, 32/31
|-
|-
Line 43: Line 47:
| p-diminished second, pd2
| p-diminished second, pd2
| 109.09
| 109.09
|115.64
|139.64 (8B.A2<sub>16</sub>)
| style="text-align:center;" | 18/17, 17/16, 16/15, 15/14
| style="text-align:center;" | 18/17, 17/16, 16/15, 15/14
|-
|-
Line 48: Line 54:
| p-minor second, pm2
| p-minor second, pm2
| 163.64
| 163.64
|173.455
|209.455 (D1.74<sub>16</sub>)
| style="text-align:center;" | 11/10, 10/9, 32/29
| style="text-align:center;" | 11/10, 10/9, 32/29
|-
|-
Line 53: Line 61:
| (s/p) Major second, M2
| (s/p) Major second, M2
| 218.18
| 218.18
|231.27
|279.27 (117.46<sub>16</sub>)
| style="text-align:center;" | 9/8, 8/7, 17/15
| style="text-align:center;" | 9/8, 8/7, 17/15
|-
|-
Line 58: Line 68:
| s-minor third, sm3
| s-minor third, sm3
| 272.73
| 272.73
|289.09
|349.09 (15D.17<sub>16</sub>)
| style="text-align:center;" | [[7/6|7/6]], [[20/17|20/17]]
| style="text-align:center;" | [[7/6|7/6]], [[20/17|20/17]]
|-
|-
Line 63: Line 75:
| p-minor third, pm3
| p-minor third, pm3
| 327.27
| 327.27
|346.91
|418.91 (1A2.E9<sub>16</sub>)
| style="text-align:center;" | 6/5, 17/14, 11/9, 29/24
| style="text-align:center;" | 6/5, 17/14, 11/9, 29/24
|-
|-
Line 68: Line 82:
| p-Major third, pM3
| p-Major third, pM3
| 381.82
| 381.82
|404.73
|488.73 (1E8.BA<sub>16</sub>)
| style="text-align:center;" | 5/4
| style="text-align:center;" | 5/4
|-
|-
Line 73: Line 89:
| s-Major third, sM3
| s-Major third, sM3
| 436.36
| 436.36
|462.545
|558.545 (22E.8C<sub>16</sub>)
| style="text-align:center;" | 9/7, 14/11, 22/17
| style="text-align:center;" | 9/7, 14/11, 22/17
|-
|-
Line 78: Line 96:
| Natural Fourth, 4, N4
| Natural Fourth, 4, N4
| 490.91
| 490.91
|520.36
|628.36 (274.5D<sub>16</sub>)
| style="text-align:center;" | 4/3
| style="text-align:center;" | 4/3
|-
|-
| 10
| 10
| p-Major Fourth, pM4, s-dim fifth
| p-Major Fourth, pM4, s-dim fifth
| 545.45
|545.455
|578.18
|698.18 (2BA.2F<sub>16</sub>)
| style="text-align:center;" | 11/8, 15/11
| style="text-align:center;" | 11/8, 15/11
|-
|-
Line 88: Line 110:
| Augmented Fourth, A4, Half-Octave, HO
| Augmented Fourth, A4, Half-Octave, HO
| 600
| 600
|636
|768 (300<sub>16</sub>)
| style="text-align:center;" | 7/5, 10/7, 17/12, 24/17
| style="text-align:center;" | 7/5, 10/7, 17/12, 24/17
|-
|-
| 12
| 12
| p-minor Fifth, pm5, s-aug fourth
| p-minor Fifth, pm5, s-aug fourth
| 654.55
|654.545
|693.82
|837.82 (345.D1<sub>16</sub>)
| style="text-align:center;" | 16/11, 22/15
| style="text-align:center;" | 16/11, 22/15
|-
|-
Line 98: Line 124:
| Natural Fifth, 5, N5
| Natural Fifth, 5, N5
| 709.09
| 709.09
|751.64
|907.64 (38B.A2<sub>16</sub>)
| style="text-align:center;" | 3/2
| style="text-align:center;" | 3/2
|-
|-
Line 103: Line 131:
| s-minor sixth, sm6
| s-minor sixth, sm6
| 763.64
| 763.64
|809.455
|977.455 (3D1.74<sub>16</sub>)
| style="text-align:center;" | 11/7, 14/9, 17/11
| style="text-align:center;" | 11/7, 14/9, 17/11
|-
|-
Line 108: Line 138:
| p-minor sixth, pm6
| p-minor sixth, pm6
| 818.18
| 818.18
|867.27
|1047.27 (417.46<sub>16</sub>)
| style="text-align:center;" | 8/5
| style="text-align:center;" | 8/5
|-
|-
Line 113: Line 145:
| p-Major sixth, pM6
| p-Major sixth, pM6
| 872.73
| 872.73
|925.09
|1117.09 (45D.17<sub>16</sub>)
| style="text-align:center;" | 5/3, 18/11, 28/17
| style="text-align:center;" | 5/3, 18/11, 28/17
|-
|-
Line 118: Line 152:
| s-Major sixth, sM6
| s-Major sixth, sM6
| 927.27
| 927.27
|982.91
|1186.91 (4A2.E9<sub>16</sub>)
| style="text-align:center;" | [[12/7|12/7]], [[17/10|17/10]]
| style="text-align:center;" | [[12/7|12/7]], [[17/10|17/10]]
|-
|-
Line 123: Line 159:
| (s/p) minor seventh, m7
| (s/p) minor seventh, m7
| 981.82
| 981.82
|1040.73
|1256.73 (4E8.BA<sub>16</sub>)
| style="text-align:center;" | 7/4, 16/9, 30/17
| style="text-align:center;" | 7/4, 16/9, 30/17
|-
|-
Line 128: Line 166:
| p-Major seventh, pM7
| p-Major seventh, pM7
| 1036.36
| 1036.36
|1092.545
|1326.545 (52E.8C<sub>16</sub>)
| style="text-align:center;" | 20/11, 9/5, 29/16
| style="text-align:center;" | 20/11, 9/5, 29/16
|-
|-
Line 133: Line 173:
| p-Augmented Seventh
| p-Augmented Seventh
| 1090.91
| 1090.91
|1156.36
|1396.36 (574.5D<sub>16</sub>)
| style="text-align:center;" | 15/8, 32/17, 17/9, 28/15
| style="text-align:center;" | 15/8, 32/17, 17/9, 28/15
|-
|-
| 21
| 21
| s-Major Seventh, sM7
| s-Major Seventh, sM7
| 1145.45
| 1145.455
|1214.18
|1466.18 (5BA.2F<sub>16</sub>)
| style="text-align:center;" | 33/17, 64/33, 31/16
| style="text-align:center;" | 33/17, 64/33, 31/16
|-
|-
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| Octave, 8
| Octave, 8
| 1200
| 1200
|1272
|1536 (600<sub>16</sub>)
| style="text-align:center;" | 2/1
| style="text-align:center;" | 2/1
|}
|}
Line 158: Line 204:
! | [[Degree|Degree]]
! | [[Degree|Degree]]
! | Size ([[cent|Cents]])
! | Size ([[cent|Cents]])
!pions
!7mus
! colspan="3" | Ups and downs
! colspan="3" | Ups and downs
! colspan="3" | Porcupine
! colspan="3" | Porcupine
Line 163: Line 211:
|-
|-
| 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 175: Line 223:
|-
|-
| style="text-align:center;" | 1
| style="text-align:center;" | 1
| style="text-align:center;" | 55
| style="text-align:center;" | 54.5
|58
|70 (46<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 188: Line 238:
| style="text-align:center;" | 2
| style="text-align:center;" | 2
| style="text-align:center;" | 109
| style="text-align:center;" | 109
|116
|140 (8C<sub>16</sub>)
| style="text-align:center;" | upminor 2nd
| style="text-align:center;" | upminor 2nd
| style="text-align:center;" | ^m2
| style="text-align:center;" | ^m2
Line 206: Line 258:
| style="text-align:center;" | 3
| style="text-align:center;" | 3
| style="text-align:center;" | 164
| style="text-align:center;" | 164
|173.5
|209.5 (D1.7<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 218: Line 272:
| style="text-align:center;" | 4
| style="text-align:center;" | 4
| style="text-align:center;" | 218
| style="text-align:center;" | 218
|231
|279 (117<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 230: Line 286:
| style="text-align:center;" | 5
| style="text-align:center;" | 5
| style="text-align:center;" | 273
| style="text-align:center;" | 273
|289
|349 (15D<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 242: Line 300:
| style="text-align:center;" | 6
| style="text-align:center;" | 6
| style="text-align:center;" | 327
| style="text-align:center;" | 327
|347
|419 (1A3<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 254: Line 314:
| style="text-align:center;" | 7
| style="text-align:center;" | 7
| style="text-align:center;" | 382
| style="text-align:center;" | 382
|405
|489 (1E9<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 272: Line 334:
| style="text-align:center;" | 8
| style="text-align:center;" | 8
| style="text-align:center;" | 436
| style="text-align:center;" | 436
|462.5
|558.5 (22E.9<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 284: Line 348:
| style="text-align:center;" | 9
| style="text-align:center;" | 9
| style="text-align:center;" | 491
| style="text-align:center;" | 491
|520
|628 (274<sub>16</sub>)
| style="text-align:center;" | perfect fourth
| style="text-align:center;" | perfect fourth
| style="text-align:center;" | P4
| style="text-align:center;" | P4
Line 295: Line 361:
|-
|-
| style="text-align:center;" | 10
| style="text-align:center;" | 10
| style="text-align:center;" | 545
| style="text-align:center;" | 545.5
|578
|698 (2BA<sub>16</sub>)
| style="text-align:center;" | up-4th, dim 5th
| style="text-align:center;" | up-4th, dim 5th
| style="text-align:center;" | ^4, d5
| style="text-align:center;" | ^4, d5
Line 308: Line 376:
| style="text-align:center;" | 11
| style="text-align:center;" | 11
| style="text-align:center;" | 600
| style="text-align:center;" | 600
|636
|768 (300<sub>16</sub>)
| style="text-align:center;" | downaug 4th,
| style="text-align:center;" | downaug 4th,


Line 333: Line 403:
|-
|-
| style="text-align:center;" | 12
| style="text-align:center;" | 12
| style="text-align:center;" | 655
| style="text-align:center;" | 654.5
|694
|838 (346<sub>16</sub>)
| style="text-align:center;" | aug 4th, down-5th
| style="text-align:center;" | aug 4th, down-5th
| style="text-align:center;" | A4, v5
| style="text-align:center;" | A4, v5
Line 346: Line 418:
| style="text-align:center;" | 13
| style="text-align:center;" | 13
| style="text-align:center;" | 709
| style="text-align:center;" | 709
|752
|908 (38C<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 358: Line 432:
| style="text-align:center;" | 14
| style="text-align:center;" | 14
| style="text-align:center;" | 764
| style="text-align:center;" | 764
|809.5
|977.5 (3D1.7<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 370: Line 446:
| style="text-align:center;" | 15
| style="text-align:center;" | 15
| style="text-align:center;" | 818
| style="text-align:center;" | 818
|867
|1047 (417<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 388: Line 466:
| style="text-align:center;" | 16
| style="text-align:center;" | 16
| style="text-align:center;" | 873
| style="text-align:center;" | 873
|925
|1117 (45D<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 400: Line 480:
| style="text-align:center;" | 17
| style="text-align:center;" | 17
| style="text-align:center;" | 927
| style="text-align:center;" | 927
|983
|1187 (4A3<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 412: Line 494:
| style="text-align:center;" | 18
| style="text-align:center;" | 18
| style="text-align:center;" | 982
| style="text-align:center;" | 982
|1041
|1257 (4E9<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 424: Line 508:
| style="text-align:center;" | 19
| style="text-align:center;" | 19
| style="text-align:center;" | 1036
| style="text-align:center;" | 1036
|1092.5
|1326.5 (52E.9<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 436: Line 522:
| style="text-align:center;" | 20
| style="text-align:center;" | 20
| style="text-align:center;" | 1091
| style="text-align:center;" | 1091
|1156
|1396 (574<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 453: Line 541:
|-
|-
| style="text-align:center;" | 21
| style="text-align:center;" | 21
| style="text-align:center;" | 1145
| style="text-align:center;" | 1145.5
|1214
|1466 (5BA<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 466: Line 556:
| style="text-align:center;" | 22
| style="text-align:center;" | 22
| style="text-align:center;" | 1200
| style="text-align:center;" | 1200
|1272
|1536 (600<sub>16</sub>)
| style="text-align:center;" | perfect octave
| style="text-align:center;" | perfect octave
| style="text-align:center;" | P8
| style="text-align:center;" | P8
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