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{{Harmonics in equal|72|columns=50}} | |||
{{Harmonics in equal|72|2.0009519042274389297131427052054|1|columns=50|title=Approximation of prime harmonics in 380zpi|intervals=prime}} | |||
Revision as of 02:30, 13 December 2024
| 律制/Temperament | 级/Level | 1 | 2 | 3 | |||
|---|---|---|---|---|---|---|---|
| [-19 12⟩ | 81/80 | 64/63 | Schisma | P157 | Atom | ||
| 12 | 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| 19 | 1.x | -1 | 0 | 1 | -1 | 1 | 11 |
| 22 | 1.x | 2 | 1 | 0 | 1 | -1 | -10 |
| 31 | 1.x | -1 | 0 | 1 | -1 | 1 | 11 |
| 53 | 2 | 1 | 1 | 1 | 0 | 0 | 1 |
| 94 | 2.x | 2 | 2 | 2 | 0 | 0 | 2 |
| 118 | 2.x | ||||||
| 171 | ? | ||||||
| 311 | ? | ||||||
| 7edo |
|---|
| "too flat" |
| 19edo |
| meantone |
| 12edo |
| subpyth |
| 65edo |
| sub-nearpyth |
| 53edo |
| near-Pyth |
| 41edo |
| argent |
| 29edo |
| gentle |
| 17edo |
| superpyth |
| 22edo |
| "too sharp" |
| 5edo |
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | 37 | 41 | 43 | 47 | 53 | 59 | 61 | 67 | 71 | 73 | 79 | 83 | 89 | 97 | 101 | 103 | 107 | 109 | 113 | 127 | 131 | 137 | 139 | 149 | 151 | 157 | 163 | 167 | 173 | 179 | 181 | 191 | 193 | 197 | 199 | 211 | 223 | 227 | 229 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.00 | -1.96 | -2.98 | -2.16 | -1.32 | -7.19 | -4.96 | +2.49 | +5.06 | +3.76 | +4.96 | -1.34 | +4.27 | +5.15 | +1.16 | -6.84 | +7.50 | -0.22 | +4.03 | +3.64 | +5.54 | +2.13 | -0.05 | -4.21 | -3.23 | -6.52 | -7.13 | -6.43 | -5.15 | -0.88 | -3.09 | -6.77 | -0.97 | +7.27 | +3.66 | -2.75 | -3.54 | -1.81 | +6.22 | -4.89 | +2.75 | +0.18 | +7.09 | +5.72 | +3.54 | +2.72 | +1.35 | +5.59 | +8.14 | -7.04 |
| Relative (%) | +0.0 | -11.7 | -17.9 | -13.0 | -7.9 | -43.2 | -29.7 | +14.9 | +30.4 | +22.5 | +29.8 | -8.1 | +25.6 | +30.9 | +7.0 | -41.0 | +45.0 | -1.3 | +24.2 | +21.8 | +33.3 | +12.8 | -0.3 | -25.3 | -19.4 | -39.1 | -42.8 | -38.6 | -30.9 | -5.3 | -18.5 | -40.6 | -5.8 | +43.6 | +22.0 | -16.5 | -21.3 | -10.8 | +37.3 | -29.3 | +16.5 | +1.1 | +42.5 | +34.3 | +21.2 | +16.3 | +8.1 | +33.5 | +48.9 | -42.3 | |
| Steps (reduced) |
72 (0) |
114 (42) |
167 (23) |
202 (58) |
249 (33) |
266 (50) |
294 (6) |
306 (18) |
326 (38) |
350 (62) |
357 (69) |
375 (15) |
386 (26) |
391 (31) |
400 (40) |
412 (52) |
424 (64) |
427 (67) |
437 (5) |
443 (11) |
446 (14) |
454 (22) |
459 (27) |
466 (34) |
475 (43) |
479 (47) |
481 (49) |
485 (53) |
487 (55) |
491 (59) |
503 (71) |
506 (2) |
511 (7) |
513 (9) |
520 (16) |
521 (17) |
525 (21) |
529 (25) |
532 (28) |
535 (31) |
539 (35) |
540 (36) |
546 (42) |
547 (43) |
549 (45) |
550 (46) |
556 (52) |
562 (58) |
564 (60) |
564 (60) | |
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | 37 | 41 | 43 | 47 | 53 | 59 | 61 | 67 | 71 | 73 | 79 | 83 | 89 | 97 | 101 | 103 | 107 | 109 | 113 | 127 | 131 | 137 | 139 | 149 | 151 | 157 | 163 | 167 | 173 | 179 | 181 | 191 | 193 | 197 | 199 | 211 | 223 | 227 | 229 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.82 | -0.65 | -1.07 | +0.15 | +1.53 | -4.15 | -1.59 | +5.99 | -7.89 | +7.76 | -7.63 | +2.95 | -7.99 | -7.06 | +5.74 | -2.12 | -4.33 | +4.67 | -7.65 | -7.97 | -6.03 | +7.32 | +5.20 | +1.12 | +2.21 | -1.04 | -1.63 | -0.88 | +0.42 | +4.74 | +2.67 | -0.98 | +4.87 | -3.54 | -7.06 | +3.21 | +2.46 | +4.25 | -4.37 | +1.23 | -7.76 | +6.36 | -3.35 | -4.70 | -6.86 | -7.67 | +7.71 | -4.66 | -2.08 | -0.59 |
| Relative (%) | +4.9 | -3.9 | -6.4 | +0.9 | +9.2 | -24.9 | -9.5 | +35.9 | -47.3 | +46.5 | -45.7 | +17.7 | -47.9 | -42.3 | +34.4 | -12.7 | -26.0 | +28.0 | -45.9 | -47.8 | -36.2 | +43.9 | +31.2 | +6.7 | +13.2 | -6.2 | -9.8 | -5.3 | +2.5 | +28.4 | +16.0 | -5.9 | +29.2 | -21.2 | -42.4 | +19.2 | +14.8 | +25.5 | -26.2 | +7.4 | -46.5 | +38.2 | -20.1 | -28.2 | -41.1 | -46.0 | +46.2 | -27.9 | -12.5 | -3.5 | |
| Steps (reduced) |
72 (0) |
114 (42) |
167 (23) |
202 (58) |
249 (33) |
266 (50) |
294 (6) |
306 (18) |
325 (37) |
350 (62) |
356 (68) |
375 (15) |
385 (25) |
390 (30) |
400 (40) |
412 (52) |
423 (63) |
427 (67) |
436 (4) |
442 (10) |
445 (13) |
454 (22) |
459 (27) |
466 (34) |
475 (43) |
479 (47) |
481 (49) |
485 (53) |
487 (55) |
491 (59) |
503 (71) |
506 (2) |
511 (7) |
512 (8) |
519 (15) |
521 (17) |
525 (21) |
529 (25) |
531 (27) |
535 (31) |
538 (34) |
540 (36) |
545 (41) |
546 (42) |
548 (44) |
549 (45) |
556 (52) |
561 (57) |
563 (59) |
564 (60) | |