19ed11/5: Difference between revisions
Jump to navigation
Jump to search
Created page with "{{Infobox ET}}" |
Fleshed out the page |
||
| Line 1: | Line 1: | ||
{{Infobox ET}} | {{Infobox ET}} | ||
19ed11/5 fails to produce acceptable approximations of any of the small harmonics. However, it does approximate harmonics 7, 8 and 9 very well. | |||
Using 3 steps of 19ed11/5 (215.527 cents) as a generator, and 47 steps of 19ed11/5 (3376.589) as a period, you get the 7.8.9 regular temperament with the lowest badness using x31eq's default settings. | |||
This temperament doesn't have a name, but perhaps it could be called Sixscared, because 7.8.9. In that case, you could think of 19ed11/5 as a possible tuning for the MOS scale "Sixscared[47]". | |||
== Integer harmonics == | |||
{{Harmonics in equal | |||
| steps = 19 | |||
| num = 11 | |||
| denom = 5 | |||
| columns = 16 | |||
}} | |||
Revision as of 13:03, 8 May 2023
| ← 18ed11/5 | 19ed11/5 | 20ed11/5 → |
19ed11/5 fails to produce acceptable approximations of any of the small harmonics. However, it does approximate harmonics 7, 8 and 9 very well.
Using 3 steps of 19ed11/5 (215.527 cents) as a generator, and 47 steps of 19ed11/5 (3376.589) as a period, you get the 7.8.9 regular temperament with the lowest badness using x31eq's default settings.
This temperament doesn't have a name, but perhaps it could be called Sixscared, because 7.8.9. In that case, you could think of 19ed11/5 as a possible tuning for the MOS scale "Sixscared[47]".
Integer harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +21.3 | -34.1 | -29.2 | +15.5 | -12.7 | +7.8 | -7.9 | +3.7 | -35.0 | +15.5 | +8.6 | +13.7 | +29.1 | -18.5 | +13.4 | -19.7 |
| Relative (%) | +29.7 | -47.4 | -40.6 | +21.6 | -17.7 | +10.8 | -11.0 | +5.2 | -48.7 | +21.6 | +11.9 | +19.1 | +40.5 | -25.8 | +18.7 | -27.4 | |
| Steps (reduced) |
17 (17) |
26 (7) |
33 (14) |
39 (1) |
43 (5) |
47 (9) |
50 (12) |
53 (15) |
55 (17) |
58 (1) |
60 (3) |
62 (5) |
64 (7) |
65 (8) |
67 (10) |
68 (11) | |