23edt: Difference between revisions
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| Line 5: | Line 5: | ||
! | degree | ! | degree | ||
! | cents value | ! | cents value | ||
! | corresponding | !hekts | ||
! | corresponding JI intervals | |||
! | comments | ! | comments | ||
|- | |- | ||
| | 0 | | | 0 | ||
| | | | colspan="2"| 0 | ||
| | '''exact [[1/1]]''' | | | '''exact [[1/1]]''' | ||
| | | | | | ||
| Line 15: | Line 16: | ||
| | 1 | | | 1 | ||
| | 82.6937 | | | 82.6937 | ||
|56.522 | |||
| | 150/143 | | | 150/143 | ||
| | | | | | ||
| Line 20: | Line 22: | ||
| | 2 | | | 2 | ||
| | 165.3874 | | | 165.3874 | ||
|113.0435 | |||
| | [[11/10]] | | | [[11/10]] | ||
| | | | | | ||
| Line 25: | Line 28: | ||
| | 3 | | | 3 | ||
| | 248.0811 | | | 248.0811 | ||
|169.565 | |||
| | [[15/13]] | | | [[15/13]] | ||
| | | | | | ||
| Line 30: | Line 34: | ||
| | 4 | | | 4 | ||
| | 330.7748 | | | 330.7748 | ||
|226.087 | |||
| | 23/19 | | | 23/19 | ||
| | | | | | ||
| Line 35: | Line 40: | ||
| | 5 | | | 5 | ||
| | 413.4685 | | | 413.4685 | ||
|282.609 | |||
| | 33/26, 80/63 | | | 33/26, 80/63 | ||
| | | | | | ||
| Line 40: | Line 46: | ||
| | 6 | | | 6 | ||
| | 496.1622 | | | 496.1622 | ||
|339.13 | |||
| | ([[4/3]]) | | | ([[4/3]]) | ||
| | | | | | ||
| Line 45: | Line 52: | ||
| | 7 | | | 7 | ||
| | 578.8559 | | | 578.8559 | ||
|395.652 | |||
| | 88/63, 95/68 | | | 88/63, 95/68 | ||
| | | | | | ||
| Line 50: | Line 58: | ||
| | 8 | | | 8 | ||
| | 661.5496 | | | 661.5496 | ||
|452.174 | |||
| | | | | | ||
| | | | | | ||
| Line 55: | Line 64: | ||
| | 9 | | | 9 | ||
| | 744.2433 | | | 744.2433 | ||
|508.696 | |||
| | | | | | ||
| | | | | | ||
|- | |- | ||
| | 10 | | | 10 | ||
| | 826. | | | 826.937 | ||
|565.217 | |||
| | 50/31 | | | 50/31 | ||
| | | | | | ||
| Line 65: | Line 76: | ||
| | 11 | | | 11 | ||
| | 909.6307 | | | 909.6307 | ||
|621.739 | |||
| | | | | | ||
| | pseudo-[[5/3]] | | | pseudo-[[5/3]] | ||
| Line 70: | Line 82: | ||
| | 12 | | | 12 | ||
| | 992.3243 | | | 992.3243 | ||
|678.261 | |||
| | | | | | ||
| | | | | | ||
|- | |- | ||
| | 13 | | | 13 | ||
| | 1075. | | | 1075.018 | ||
|734.783 | |||
| | 93/50, 253/136, 80/43, 67/36 | | | 93/50, 253/136, 80/43, 67/36 | ||
| | | | | | ||
| Line 80: | Line 94: | ||
| | 14 | | | 14 | ||
| | 1157.7117 | | | 1157.7117 | ||
|791.304 | |||
| | | | | | ||
| | | | | | ||
| Line 85: | Line 100: | ||
| | 15 | | | 15 | ||
| | 1240.4054 | | | 1240.4054 | ||
|847.826 | |||
| | | | | | ||
| | | | | | ||
| Line 90: | Line 106: | ||
| | 16 | | | 16 | ||
| | 1323.0991 | | | 1323.0991 | ||
|904.348 | |||
| | | | | | ||
| | | | | | ||
| Line 95: | Line 112: | ||
| | 17 | | | 17 | ||
| | 1405.7928 | | | 1405.7928 | ||
|960.87 | |||
| | ([[9/4]]) | | | ([[9/4]]) | ||
| | | | | | ||
| Line 100: | Line 118: | ||
| | 18 | | | 18 | ||
| | 1488.4865 | | | 1488.4865 | ||
|1017.391 | |||
| | [[13/11|26/11]] | | | [[13/11|26/11]] | ||
| | pseudo-[[7/3]] | | | pseudo-[[7/3]] | ||
| Line 105: | Line 124: | ||
| | 19 | | | 19 | ||
| | 1571.1802 | | | 1571.1802 | ||
|1073.913 | |||
| | 57/23 | | | 57/23 | ||
| | | | | | ||
| Line 110: | Line 130: | ||
| | 20 | | | 20 | ||
| | 1653.8739 | | | 1653.8739 | ||
|1130.435. | |||
| | [[13/5]] | | | [[13/5]] | ||
| | | | | | ||
| Line 115: | Line 136: | ||
| | 21 | | | 21 | ||
| | 1736.5676 | | | 1736.5676 | ||
|1186.9565 | |||
| | [[15/11|30/11]] | | | [[15/11|30/11]] | ||
| | | | | | ||
| Line 120: | Line 142: | ||
| | 22 | | | 22 | ||
| | 1819.2613 | | | 1819.2613 | ||
|1243.478 | |||
| | 143/50 | | | 143/50 | ||
| | | | | | ||
| Line 125: | Line 148: | ||
| | 23 | | | 23 | ||
| | 1901.9550 | | | 1901.9550 | ||
|1300 | |||
| | '''exact [[3/1]]''' | | | '''exact [[3/1]]''' | ||
| | [[3/2|just perfect fifth]] plus an octave | | | [[3/2|just perfect fifth]] plus an octave | ||
Revision as of 18:03, 15 April 2019
23EDT is the equal division of the third harmonic into 23 parts of 82.6937 cents each, corresponding to 14.5114 edo (similar to every second step of 29edo).
| degree | cents value | hekts | corresponding JI intervals | comments |
|---|---|---|---|---|
| 0 | 0 | exact 1/1 | ||
| 1 | 82.6937 | 56.522 | 150/143 | |
| 2 | 165.3874 | 113.0435 | 11/10 | |
| 3 | 248.0811 | 169.565 | 15/13 | |
| 4 | 330.7748 | 226.087 | 23/19 | |
| 5 | 413.4685 | 282.609 | 33/26, 80/63 | |
| 6 | 496.1622 | 339.13 | (4/3) | |
| 7 | 578.8559 | 395.652 | 88/63, 95/68 | |
| 8 | 661.5496 | 452.174 | ||
| 9 | 744.2433 | 508.696 | ||
| 10 | 826.937 | 565.217 | 50/31 | |
| 11 | 909.6307 | 621.739 | pseudo-5/3 | |
| 12 | 992.3243 | 678.261 | ||
| 13 | 1075.018 | 734.783 | 93/50, 253/136, 80/43, 67/36 | |
| 14 | 1157.7117 | 791.304 | ||
| 15 | 1240.4054 | 847.826 | ||
| 16 | 1323.0991 | 904.348 | ||
| 17 | 1405.7928 | 960.87 | (9/4) | |
| 18 | 1488.4865 | 1017.391 | 26/11 | pseudo-7/3 |
| 19 | 1571.1802 | 1073.913 | 57/23 | |
| 20 | 1653.8739 | 1130.435. | 13/5 | |
| 21 | 1736.5676 | 1186.9565 | 30/11 | |
| 22 | 1819.2613 | 1243.478 | 143/50 | |
| 23 | 1901.9550 | 1300 | exact 3/1 | just perfect fifth plus an octave |