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22edo: Difference between revisions

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Line 28: Line 28:
! Name and Abbreviation
! Name and Abbreviation
! Cents
! Cents
!pions
!7mus
!7mus
! style="text-align:center;" | Approximate Ratios*
! style="text-align:center;" | Approximate Ratios*
Line 34: Line 33:
| 0
| 0
| Natural Unison, 1
| Natural Unison, 1
| colspan="3" | 0
|0.00
|0
| style="text-align:center;" | 1/1
| style="text-align:center;" | 1/1
|-
|-
Line 40: Line 40:
| s-minor second, sm2
| s-minor second, sm2
| 54.545
| 54.545
|57.82
|69.82 (45.D1<sub>16</sub>)
|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 47: Line 46:
| p-diminished second, pd2
| p-diminished second, pd2
| 109.09
| 109.09
|115.64
|139.64 (8B.A2<sub>16</sub>)
|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 54: Line 52:
| p-minor second, pm2
| p-minor second, pm2
| 163.64
| 163.64
|173.455
|209.455 (D1.74<sub>16</sub>)
|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 61: Line 58:
| (s/p) Major second, M2
| (s/p) Major second, M2
| 218.18
| 218.18
|231.27
|279.27 (117.46<sub>16</sub>)
|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 68: Line 64:
| s-minor third, sm3
| s-minor third, sm3
| 272.73
| 272.73
|289.09
|349.09 (15D.17<sub>16</sub>)
|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 75: Line 70:
| p-minor third, pm3
| p-minor third, pm3
| 327.27
| 327.27
|346.91
|418.91 (1A2.E9<sub>16</sub>)
|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 82: Line 76:
| p-Major third, pM3
| p-Major third, pM3
| 381.82
| 381.82
|404.73
|488.73 (1E8.BA<sub>16</sub>)
|488.73 (1E8.BA<sub>16</sub>)
| style="text-align:center;" | 5/4
| style="text-align:center;" | 5/4
Line 89: Line 82:
| s-Major third, sM3
| s-Major third, sM3
| 436.36
| 436.36
|462.545
|558.545 (22E.8C<sub>16</sub>)
|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 96: Line 88:
| Natural Fourth, 4, N4
| Natural Fourth, 4, N4
| 490.91
| 490.91
|520.36
|628.36 (274.5D<sub>16</sub>)
|628.36 (274.5D<sub>16</sub>)
| style="text-align:center;" | 4/3
| style="text-align:center;" | 4/3
Line 103: Line 94:
| p-Major Fourth, pM4, s-dim fifth
| p-Major Fourth, pM4, s-dim fifth
|545.455
|545.455
|578.18
|698.18 (2BA.2F<sub>16</sub>)
|698.18 (2BA.2F<sub>16</sub>)
| style="text-align:center;" | 11/8, 15/11
| style="text-align:center;" | 11/8, 15/11
Line 110: Line 100:
| Augmented Fourth, A4, Half-Octave, HO
| Augmented Fourth, A4, Half-Octave, HO
| 600
| 600
|636
|768 (300<sub>16</sub>)
|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
Line 117: Line 106:
| p-minor Fifth, pm5, s-aug fourth
| p-minor Fifth, pm5, s-aug fourth
|654.545
|654.545
|693.82
|837.82 (345.D1<sub>16</sub>)
|837.82 (345.D1<sub>16</sub>)
| style="text-align:center;" | 16/11, 22/15
| style="text-align:center;" | 16/11, 22/15
Line 124: Line 112:
| Natural Fifth, 5, N5
| Natural Fifth, 5, N5
| 709.09
| 709.09
|751.64
|907.64 (38B.A2<sub>16</sub>)
|907.64 (38B.A2<sub>16</sub>)
| style="text-align:center;" | 3/2
| style="text-align:center;" | 3/2
Line 131: Line 118:
| s-minor sixth, sm6
| s-minor sixth, sm6
| 763.64
| 763.64
|809.455
|977.455 (3D1.74<sub>16</sub>)
|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 138: Line 124:
| p-minor sixth, pm6
| p-minor sixth, pm6
| 818.18
| 818.18
|867.27
|1047.27 (417.46<sub>16</sub>)
|1047.27 (417.46<sub>16</sub>)
| style="text-align:center;" | 8/5
| style="text-align:center;" | 8/5
Line 145: Line 130:
| p-Major sixth, pM6
| p-Major sixth, pM6
| 872.73
| 872.73
|925.09
|1117.09 (45D.17<sub>16</sub>)
|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 152: Line 136:
| s-Major sixth, sM6
| s-Major sixth, sM6
| 927.27
| 927.27
|982.91
|1186.91 (4A2.E9<sub>16</sub>)
|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 159: Line 142:
| (s/p) minor seventh, m7
| (s/p) minor seventh, m7
| 981.82
| 981.82
|1040.73
|1256.73 (4E8.BA<sub>16</sub>)
|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 166: Line 148:
| p-Major seventh, pM7
| p-Major seventh, pM7
| 1036.36
| 1036.36
|1092.545
|1326.545 (52E.8C<sub>16</sub>)
|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 173: Line 154:
| p-Augmented Seventh
| p-Augmented Seventh
| 1090.91
| 1090.91
|1156.36
|1396.36 (574.5D<sub>16</sub>)
|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
Line 180: Line 160:
| s-Major Seventh, sM7
| s-Major Seventh, sM7
| 1145.455
| 1145.455
|1214.18
|1466.18 (5BA.2F<sub>16</sub>)
|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
Line 187: Line 166:
| Octave, 8
| Octave, 8
| 1200
| 1200
|1272
|1536 (600<sub>16</sub>)
|1536 (600<sub>16</sub>)
| style="text-align:center;" | 2/1
| style="text-align:center;" | 2/1
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