35ed4: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ED intro}} | {{ED intro}} [[Željko Stojanović]] recommends the use of 35ed4. | ||
== Intervals == | == Intervals == | ||
{ | {| class="wikitable mw-collapsible" | ||
! Steps | |||
! Cents | |||
! Approximate ratios | |||
|- | |||
| 0 | |||
| 0 | |||
| 1/1 | |||
|- | |||
| 1 | |||
| 68.6 | |||
| 26/25, 27/26, 28/27 | |||
|- | |||
| 2 | |||
| 137.1 | |||
| 13/12 | |||
|- | |||
| 3 | |||
| 205.7 | |||
|9/8 | |||
|- | |||
| 4 | |||
| 274.3 | |||
|7/6 | |||
|- | |||
| 5 | |||
| 342.9 | |||
| 11/9 | |||
|- | |||
| 6 | |||
| 411.4 | |||
| 14/11 | |||
|- | |||
| 7 | |||
| 480 | |||
|4/3 | |||
|- | |||
| 8 | |||
| 548.6 | |||
|11/8 | |||
|- | |||
| 9 | |||
| 617.1 | |||
|10/7 | |||
|- | |||
| 10 | |||
| 685.7 | |||
|3/2 | |||
|- | |||
| 11 | |||
| 754.3 | |||
| 14/9 | |||
|- | |||
| 12 | |||
| 822.9 | |||
| 8/5 | |||
|- | |||
| 13 | |||
| 891.4 | |||
| 5/3 | |||
|- | |||
| 14 | |||
| 960 | |||
| 7/4 | |||
|- | |||
| 15 | |||
| 1028.6 | |||
|9/5, 11/6 | |||
|- | |||
| 16 | |||
| 1097.1 | |||
| 15/8, 17/9 | |||
|- | |||
| 17 | |||
| 1165.7 | |||
|35/18 | |||
|- | |||
| 18 | |||
| 1234.3 | |||
| | |||
|- | |||
| 19 | |||
| 1302.9 | |||
|17/8 | |||
|- | |||
| 20 | |||
| 1371.4 | |||
| 11/5 | |||
|- | |||
| 21 | |||
| 1440 | |||
|16/7, 7/3 | |||
|- | |||
| 22 | |||
| 1508.6 | |||
|12/5 | |||
|- | |||
| 23 | |||
| 1577.1 | |||
|5/2 | |||
|- | |||
| 24 | |||
| 1645.7 | |||
|13/5 | |||
|- | |||
| 25 | |||
| 1714.3 | |||
| 8/3 | |||
|- | |||
| 26 | |||
| 1782.9 | |||
| 14/5 | |||
|- | |||
| 27 | |||
| 1851.4 | |||
|35/12 | |||
|- | |||
| 28 | |||
| 1920 | |||
|3/1 | |||
|- | |||
| 29 | |||
| 1988.6 | |||
|28/9 | |||
|- | |||
| 30 | |||
| 2057.1 | |||
| 23/7 | |||
|- | |||
| 31 | |||
| 2125.7 | |||
| 17/5 | |||
|- | |||
| 32 | |||
| 2194.3 | |||
|13/4, 10/3 | |||
|- | |||
| 33 | |||
| 2262.9 | |||
|11/3, 15/4 | |||
|- | |||
| 34 | |||
| 2331.4 | |||
| | |||
|- | |||
| 35 | |||
| 2400 | |||
|4/1 | |||
|} | |||
''Ratios above were based on direct approximation, not subgroup interpretation.'' | |||
== Harmonics == | == Harmonics == | ||
35ed4 can be approached as a 4.3.10.7 [[subgroup]] tuning. Alternatively it can be approached as a 2.3.5.11.13.17 tuning because the error on all those [[primes]] is in the same direction and by similar amounts, so intervals built from them turn out better than one would expect from the raw numbers. | |||
{{Harmonics in equal | {{Harmonics in equal | ||
| steps = 35 | | steps = 35 | ||
| Line 19: | Line 168: | ||
| collapsed = 1 | | collapsed = 1 | ||
}} | }} | ||
{{todo|expand}} | |||