28742edo
28742 equal divisions of the octave (abbreviated 28742edo or 28742ed2), also called 28742-tone equal temperament (28742tet) or 28742 equal temperament (28742et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 28742 equal parts of about 0.0418 ¢ each. Each step represents a frequency ratio of 21/28742, or the 28742nd root of 2.
| ← 28741edo | 28742edo | 28743edo → |
28742edo is the next zeta peak edo (and zeta peak integer edo) after 16808edo.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.0000 | +0.0003 | +0.0060 | +0.0002 | +0.0007 | -0.0016 | +0.0060 | +0.0028 | -0.0091 | -0.0037 | +0.0204 |
| Relative (%) | +0.0 | +0.8 | +14.3 | +0.5 | +1.6 | -3.8 | +14.3 | +6.7 | -21.8 | -9.0 | +49.0 | |
| Steps (reduced) |
28742 (0) |
45555 (16813) |
66737 (9253) |
80689 (23205) |
99431 (13205) |
106358 (20132) |
117482 (2514) |
122094 (7126) |
130016 (15048) |
139628 (24660) |
142394 (27426) | |
| Harmonic | 37 | 41 | 43 | 47 | 53 | 59 | 61 | 67 | 71 | 73 | 79 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -0.0045 | +0.0100 | +0.0125 | +0.0003 | +0.0046 | +0.0031 | -0.0105 | +0.0194 | -0.0013 | +0.0026 | -0.0111 |
| Relative (%) | -10.9 | +24.0 | +29.8 | +0.7 | +11.0 | +7.3 | -25.3 | +46.4 | -3.2 | +6.3 | -26.6 | |
| Steps (reduced) |
149730 (6020) |
153987 (10277) |
155962 (12252) |
159650 (15940) |
164632 (20922) |
169079 (25369) |
170461 (26751) |
174352 (1900) |
176756 (4304) |
177908 (5456) |
181183 (8731) | |
|
This page is a stub. You can help the Xenharmonic Wiki by expanding it. |