User:Zhenlige/Sandbox: Difference between revisions
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{{Lumatone mapping| | {{Lumatone mapping| | ||
{{../Luma chain demisharp|x=0|y=4|dx=1|dy=1|base=B|min=4}} | |||
{{../Luma chain demisharp|x=0|y=3|dx=1|dy=1|base=C|min=3}} | |||
{{../Luma chain demisharp|x=2|y=4|dx=1|dy=1|base=D|min=0}} | {{../Luma chain demisharp|x=2|y=4|dx=1|dy=1|base=D|min=0}} | ||
{{../Luma chain demisharp|x=4|y=5|dx=1|dy=1|base=E|min=-3}} | {{../Luma chain demisharp|x=4|y=5|dx=1|dy=1|base=E|min=-3}} | ||
| Line 100: | Line 102: | ||
{{../Luma chain demisharp|x=6|y=5|dx=1|dy=1|base=G}} | {{../Luma chain demisharp|x=6|y=5|dx=1|dy=1|base=G}} | ||
{{../Luma chain demisharp|x=8|y=6|dx=1|dy=1|base=A}} | {{../Luma chain demisharp|x=8|y=6|dx=1|dy=1|base=A}} | ||
{{../Luma chain demisharp|x=10|y=7|dx=1|dy=1|base=B}} | |||
{{../Luma chain demisharp|x=10|y=6|dx=1|dy=1|base=C}} | |||
{{../Luma chain demisharp|x=12|y=7|dx=1|dy=1|base=D}} | |||
{{../Luma chain demisharp|x=14|y=8|dx=1|dy=1|base=E}} | |||
{{../Luma chain demisharp|x=14|y=7|dx=1|dy=1|base=F}} | |||
{{../Luma chain demisharp|x=16|y=8|dx=1|dy=1|base=G}} | |||
{{../Luma chain demisharp|x=18|y=9|dx=1|dy=1|base=A}} | |||
{{../Luma chain demisharp|x=20|y=10|dx=1|dy=1|base=B}} | |||
{{../Luma chain demisharp|x=20|y=9|dx=1|dy=1|base=C}} | |||
{{../Luma chain demisharp|x=22|y=10|dx=1|dy=1|base=D}} | |||
{{../Luma chain demisharp|x=24|y=11|dx=1|dy=1|base=E}} | |||
{{../Luma chain demisharp|x=24|y=10|dx=1|dy=1|base=F}} | |||
{{../Luma chain demisharp|x=26|y=11|dx=1|dy=1|base=G}} | |||
{{../Luma chain demisharp|x=28|y=12|dx=1|dy=1|base=A}} | |||
{{../Luma chain demisharp|x=30|y=13|dx=1|dy=1|base=B}} | |||
{{../Luma chain demisharp|x=30|y=12|dx=1|dy=1|base=C}} | |||
{{../Luma chain demisharp|x=32|y=13|dx=1|dy=1|base=D}} | |||
{{../Luma chain demisharp|x=34|y=14|dx=1|dy=1|base=E}} | |||
{{../Luma chain demisharp|x=34|y=13|dx=1|dy=1|base=F}} | |||
{{../Luma chain demisharp|x=36|y=14|dx=1|dy=1|base=G|max=1}} | |||
{{../Luma chain demisharp|x=38|y=15|dx=1|dy=1|base=A|max=-2}} | |||
}} | }} | ||
Revision as of 08:50, 1 January 2025
| 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 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 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 |
| 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 | |
| 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) | |
| 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 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 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 |
| 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 | |
| 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) | |
| 5edo | 7edo |
| 12edo | 17edo |
| 19edo | 27edo |
| 22edo | 31edo |
| 29edo | 41edo |
| 46edo | 65edo |
| 50edo | 71edo |
| 53edo | 75edo |
| 70edo | 99edo |
| 94edo | 133edo |
| 118edo | 167edo |
| 171edo | 242edo |
The argent approximation starts to break down over this point.
B
C
C
D
D
D
D
D
E
E
E
E
E
E
E
E
F
F
F
F
F
F
F
F
F
G
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G
G
G
G
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G
A
A
A
A
A
A
A
A
A
B
B
B
B
B
B
B
B
B
C
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C
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C
C
C
D
D
D
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D
D
D
E
E
E
E
E
E
E
E
E
F
F
F
F
F
F
F
F
F
G
G
G
G
G
G
G
G
G
A
A
A
A
A
A
A
A
A
B
B
B
B
B
B
B
B
B
C
C
C
C
C
C
C
C
C
D
D
D
D
D
D
D
D
D
E
E
E
E
E
E
E
E
E
F
F
F
F
F
F
F
F
F
G
G
G
G
G
G
G
G
G
A
A
A
A
A
A
A
A
A
B
B
B
B
B
B
B
B
B
C
C
C
C
C
C
C
C
C
D
D
D
D
D
D
D
D
D
E
E
E
E
E
E
E
E
E
F
F
F
F
F
F
F
F
F
G
G
G
G
G
G
A
A
A