19edo: Difference between revisions
A little more history and notation |
→Intervals and linear temperaments: Removed pions column |
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| Line 49: | Line 49: | ||
! | Dodecatonic category | ! | Dodecatonic category | ||
! | Cents | ! | Cents | ||
!7mus | !7mus | ||
! | Ratios* | ! | Ratios* | ||
| Line 58: | Line 57: | ||
| style="text-align:center;" | P1 | | style="text-align:center;" | P1 | ||
| style="text-align:center;" | P1 | | style="text-align:center;" | P1 | ||
| colspan=" | | colspan="2" style="text-align:center;" | 0 | ||
| style="text-align:center;" | 1/1 | | style="text-align:center;" | 1/1 | ||
| style="text-align:center;" | | | style="text-align:center;" | | ||
| Line 67: | Line 66: | ||
| style="text-align:center;" | A1, m2 | | style="text-align:center;" | A1, m2 | ||
| style="text-align:center;" | 63.1579 | | style="text-align:center;" | 63.1579 | ||
|80.8421 (50.D794<sub>16</sub>) | |80.8421 (50.D794<sub>16</sub>) | ||
| style="text-align:center;" | 25/24, 28/27, 26/25, 27/26 | | style="text-align:center;" | 25/24, 28/27, 26/25, 27/26 | ||
| Line 77: | Line 75: | ||
| style="text-align:center;" | M2, m3 | | style="text-align:center;" | M2, m3 | ||
| style="text-align:center;" | 126.3157 | | style="text-align:center;" | 126.3157 | ||
|161.6842 (A1.AF29<sub>16</sub>) | |161.6842 (A1.AF29<sub>16</sub>) | ||
| style="text-align:center;" | 15/14, 16/15, 13/12, 14/13 | | style="text-align:center;" | 15/14, 16/15, 13/12, 14/13 | ||
| Line 87: | Line 84: | ||
| style="text-align:center;" | M3 | | style="text-align:center;" | M3 | ||
| style="text-align:center;" | 189.4737 | | style="text-align:center;" | 189.4737 | ||
|242.5263 (F2.86BD<sub>16</sub>) | |242.5263 (F2.86BD<sub>16</sub>) | ||
| style="text-align:center;" | 9/8, 10/9 | | style="text-align:center;" | 9/8, 10/9 | ||
| Line 97: | Line 93: | ||
| style="text-align:center;" | m4, a3 | | style="text-align:center;" | m4, a3 | ||
| style="text-align:center;" | 252.6316 | | style="text-align:center;" | 252.6316 | ||
|323.3684 (143.5E51<sub>16</sub>) | |323.3684 (143.5E51<sub>16</sub>) | ||
| style="text-align:center;" | 7/6, 8/7, 15/13 | | style="text-align:center;" | 7/6, 8/7, 15/13 | ||
| Line 107: | Line 102: | ||
| style="text-align:center;" | M4, m5 | | style="text-align:center;" | M4, m5 | ||
| style="text-align:center;" | 315.7895 | | style="text-align:center;" | 315.7895 | ||
|404.2105 (194.35E5<sub>16</sub>) | |404.2105 (194.35E5<sub>16</sub>) | ||
| style="text-align:center;" | 6/5 | | style="text-align:center;" | 6/5 | ||
| Line 117: | Line 111: | ||
| style="text-align:center;" | M5 | | style="text-align:center;" | M5 | ||
| style="text-align:center;" | 378.9474 | | style="text-align:center;" | 378.9474 | ||
|485.0526 (1E5.0D79<sub>16</sub>) | |485.0526 (1E5.0D79<sub>16</sub>) | ||
| style="text-align:center;" | 5/4, 16/13, 26/21 | | style="text-align:center;" | 5/4, 16/13, 26/21 | ||
| Line 127: | Line 120: | ||
| style="text-align:center;" | A5, d6 | | style="text-align:center;" | A5, d6 | ||
| style="text-align:center;" | 442.1053 | | style="text-align:center;" | 442.1053 | ||
|565.8947 (235.E50E<sub>16</sub>) | |565.8947 (235.E50E<sub>16</sub>) | ||
| style="text-align:center;" | 32/25, 9/7, 13/10 | | style="text-align:center;" | 32/25, 9/7, 13/10 | ||
| Line 137: | Line 129: | ||
| style="text-align:center;" | P6 | | style="text-align:center;" | P6 | ||
| style="text-align:center;" | 505.2632 | | style="text-align:center;" | 505.2632 | ||
|646.7368 (286.BCA2<sub>16</sub>) | |646.7368 (286.BCA2<sub>16</sub>) | ||
| style="text-align:center;" | 4/3 | | style="text-align:center;" | 4/3 | ||
| Line 147: | Line 138: | ||
| style="text-align:center;" | A6, m7 | | style="text-align:center;" | A6, m7 | ||
| style="text-align:center;" | 568.42105 | | style="text-align:center;" | 568.42105 | ||
|727.57895 (2D7.9436<sub>16</sub>) | |727.57895 (2D7.9436<sub>16</sub>) | ||
| style="text-align:center;" | 25/18, 7/5, 18/13 | | style="text-align:center;" | 25/18, 7/5, 18/13 | ||
| Line 157: | Line 147: | ||
| style="text-align:center;" | M7, d8 | | style="text-align:center;" | M7, d8 | ||
| style="text-align:center;" | 631.57895 | | style="text-align:center;" | 631.57895 | ||
|808.42105 (328.6BCA<sub>16</sub>) | |808.42105 (328.6BCA<sub>16</sub>) | ||
| style="text-align:center;" | 36/25, 10/7, 13/9 | | style="text-align:center;" | 36/25, 10/7, 13/9 | ||
| Line 167: | Line 156: | ||
| style="text-align:center;" | P8 | | style="text-align:center;" | P8 | ||
| style="text-align:center;" | 694.7368 | | style="text-align:center;" | 694.7368 | ||
|889.2632 (379.435E<sub>16</sub>) | |889.2632 (379.435E<sub>16</sub>) | ||
| style="text-align:center;" | 3/2 | | style="text-align:center;" | 3/2 | ||
| Line 177: | Line 165: | ||
| style="text-align:center;" | A8, m9 | | style="text-align:center;" | A8, m9 | ||
| style="text-align:center;" | 757.8947 | | style="text-align:center;" | 757.8947 | ||
|970.1053 (3CA.1AF3<sub>16</sub>) | |970.1053 (3CA.1AF3<sub>16</sub>) | ||
| style="text-align:center;" | 25/16, 14/9, <span style="line-height: 1.5;">20/13</span> | | style="text-align:center;" | 25/16, 14/9, <span style="line-height: 1.5;">20/13</span> | ||
| Line 187: | Line 174: | ||
| style="text-align:center;" | M9, m10 | | style="text-align:center;" | M9, m10 | ||
| style="text-align:center;" | 821.0526 | | style="text-align:center;" | 821.0526 | ||
|1050.9474 (41A.F287<sub>16</sub>) | |1050.9474 (41A.F287<sub>16</sub>) | ||
| style="text-align:center;" | 8/5, <span style="line-height: 1.5;">13/8, 21/13</span> | | style="text-align:center;" | 8/5, <span style="line-height: 1.5;">13/8, 21/13</span> | ||
| Line 197: | Line 183: | ||
| style="text-align:center;" | M10 | | style="text-align:center;" | M10 | ||
| style="text-align:center;" | 884.2105 | | style="text-align:center;" | 884.2105 | ||
|1131.7895 (46B.CA1B<sub>16</sub>) | |1131.7895 (46B.CA1B<sub>16</sub>) | ||
| style="text-align:center;" | 5/3 | | style="text-align:center;" | 5/3 | ||
| Line 207: | Line 192: | ||
| style="text-align:center;" | m11, A10 | | style="text-align:center;" | m11, A10 | ||
| style="text-align:center;" | 947.3684 | | style="text-align:center;" | 947.3684 | ||
|1212.6316 (4BC.A1AF<sub>16</sub>) | |1212.6316 (4BC.A1AF<sub>16</sub>) | ||
| style="text-align:center;" | 7/4, 12/7, 26/15 | | style="text-align:center;" | 7/4, 12/7, 26/15 | ||
| Line 217: | Line 201: | ||
| style="text-align:center;" | M11, m12 | | style="text-align:center;" | M11, m12 | ||
| style="text-align:center;" | 1010.5263 | | style="text-align:center;" | 1010.5263 | ||
|1293.4737 (50D.7943<sub>16</sub>) | |1293.4737 (50D.7943<sub>16</sub>) | ||
| style="text-align:center;" | 9/5, 16/9 | | style="text-align:center;" | 9/5, 16/9 | ||
| Line 227: | Line 210: | ||
| style="text-align:center;" | M12 | | style="text-align:center;" | M12 | ||
| style="text-align:center;" | 1073.6843 | | style="text-align:center;" | 1073.6843 | ||
|1374.3157 (55E.50D8<sub>16</sub>) | |1374.3157 (55E.50D8<sub>16</sub>) | ||
| style="text-align:center;" | 15/8, 13/7, <span style="line-height: 1.5;">28/15, 24/13</span> | | style="text-align:center;" | 15/8, 13/7, <span style="line-height: 1.5;">28/15, 24/13</span> | ||
| Line 237: | Line 219: | ||
| style="text-align:center;" | A12, d13 | | style="text-align:center;" | A12, d13 | ||
| style="text-align:center;" | 1136.8421 | | style="text-align:center;" | 1136.8421 | ||
|1455.1579 (5AF.286C<sub>16</sub>) | |1455.1579 (5AF.286C<sub>16</sub>) | ||
| style="text-align:center;" | <span style="line-height: 1.5;">48/25, </span>40/21, 27/14, <span style="line-height: 1.5;">25/13, 52/27</span> | | style="text-align:center;" | <span style="line-height: 1.5;">48/25, </span>40/21, 27/14, <span style="line-height: 1.5;">25/13, 52/27</span> | ||
| Line 247: | Line 228: | ||
| style="text-align:center;" | P13 | | style="text-align:center;" | P13 | ||
| style="text-align:center;" | 1200 | | style="text-align:center;" | 1200 | ||
|1536 (600<sub>16</sub>) | |1536 (600<sub>16</sub>) | ||
| style="text-align:center;" | 2/1 | | style="text-align:center;" | 2/1 | ||