15ed7/4: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
'''15ED7/4''' is the [[Equal-step tuning|equal division]] of the [[7/4|harmonic seventh]] into fifteen parts of 64.5884 [[cent|cents]] each, corresponding to 18.5792 [[EDO]]. | '''15ED7/4''' is the [[Equal-step tuning|equal division]] of the [[7/4|harmonic seventh]] into fifteen parts of 64.5884 [[cent|cents]] each, corresponding to 18.5792 [[EDO]]. | ||
== Intervals == | == Intervals == | ||
| Line 75: | Line 73: | ||
| | '''[[7/4]]''' | | | '''[[7/4]]''' | ||
|} | |} | ||
== Harmonics == | |||
{{Harmonics in equal | |||
| steps = 15 | |||
| num = 7 | |||
| denom = 4 | |||
}} | |||
{{Harmonics in equal | |||
| steps = 15 | |||
| num = 7 | |||
| denom = 4 | |||
| start = 12 | |||
| collapsed = 1 | |||
}} | |||
== Music == | == Music == | ||
* [https://www.youtube.com/watch?v=xZeb52D9aUY Hi Chat] by Mandrake | * [https://www.youtube.com/watch?v=xZeb52D9aUY Hi Chat] by Mandrake | ||
[[Category:Listen]] | |||
Latest revision as of 09:05, 4 October 2024
| ← 14ed7/4 | 15ed7/4 | 16ed7/4 → |
(semiconvergent)
15ED7/4 is the equal division of the harmonic seventh into fifteen parts of 64.5884 cents each, corresponding to 18.5792 EDO.
Intervals
| degree | cents value | ratio |
|---|---|---|
| 0 | 0.0000 | 1/1 |
| 1 | 64.5884 | (7/4)1/15 |
| 2 | 129.1769 | (7/4)2/15 |
| 3 | 193.7652 | (7/4)1/5 |
| 4 | 258.3536 | (7/4)4/15 |
| 5 | 322.9420 | (7/4)1/3 |
| 6 | 387.5304 | (7/4)2/5 |
| 7 | 452.1188 | (7/4)7/15 |
| 8 | 516.7072 | (7/4)8/15 |
| 9 | 581.2955 | (7/4)3/5 |
| 10 | 645.8839 | (7/4)2/3 |
| 11 | 710.4723 | (7/4)11/15 |
| 12 | 775.0607 | (7/4)4/5 |
| 13 | 839.6491 | (7/4)13/15 |
| 14 | 904.2375 | (7/4)14/15 |
| 15 | 968.8259 | 7/4 |
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +27.2 | -28.9 | -10.2 | -9.0 | -1.7 | -10.2 | +17.0 | +6.8 | +18.2 | -17.7 | +25.5 |
| Relative (%) | +42.1 | -44.7 | -15.8 | -14.0 | -2.7 | -15.8 | +26.2 | +10.5 | +28.1 | -27.3 | +39.4 | |
| Steps (reduced) |
19 (4) |
29 (14) |
37 (7) |
43 (13) |
48 (3) |
52 (7) |
56 (11) |
59 (14) |
62 (2) |
64 (4) |
67 (7) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +16.1 | +17.0 | +26.7 | -20.5 | +3.8 | -30.6 | +5.0 | -19.2 | +25.5 | +9.5 | -2.8 |
| Relative (%) | +24.9 | +26.2 | +41.3 | -31.7 | +5.8 | -47.4 | +7.7 | -29.8 | +39.4 | +14.7 | -4.4 | |
| Steps (reduced) |
69 (9) |
71 (11) |
73 (13) |
74 (14) |
76 (1) |
77 (2) |
79 (4) |
80 (5) |
82 (7) |
83 (8) |
84 (9) | |
Music
- Hi Chat by Mandrake