10ed5/3: Difference between revisions
m Intro intervals harmonics |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ED intro}} | {{ED intro}} | ||
== Intervals == | == Intervals == | ||
{ | {| class="wikitable mw-collapsible" | ||
|+ | |||
!Step | |||
!Interval (¢) | |||
!JI approximated | |||
!Simplified ratios | |||
|- | |||
|1 | |||
|88.44 | |||
|81/77 | |||
| | |||
|- | |||
|2 | |||
|176.87 | |||
|10/9, 11/10 | |||
| | |||
|- | |||
|3 | |||
|265.31 | |||
|7/6, 29/25 | |||
| | |||
|- | |||
|4 | |||
|353.74 | |||
|11/9, 29/24, 36/29 | |||
| | |||
|- | |||
|5 | |||
|442.18 | |||
|9/7 | |||
| | |||
|- | |||
|6 | |||
|530.62 | |||
|15/11, 40/29 | |||
| | |||
|- | |||
|7 | |||
|619.05 | |||
|10/7, 63/44 | |||
| | |||
|- | |||
|8 | |||
|707.49 | |||
|6/4, 44/29 | |||
|3/2 | |||
|- | |||
|9 | |||
|795.92 | |||
|16/10, 11/7, 46/29 | |||
|8/5 | |||
|- | |||
|10 | |||
|884.36 | |||
|5/3, 42/25 | |||
| | |||
|- | |||
|11 | |||
|972.80 | |||
|7/4, 44/25 | |||
| | |||
|- | |||
|12 | |||
|1061.23 | |||
|11/6, 54/29 | |||
| | |||
|- | |||
|13 | |||
|1149.67 | |||
|29/15 | |||
| | |||
|- | |||
|14 | |||
|1238.10 | |||
|66/32 | |||
|33/16 | |||
|- | |||
|15 | |||
|1326.54 | |||
|15/7 | |||
| | |||
|- | |||
|16 | |||
|1414.97 | |||
|9/4, 16/7, 25/11 | |||
| | |||
|- | |||
|17 | |||
|1503.41 | |||
|24/10 | |||
|12/5 | |||
|- | |||
|18 | |||
|1591.85 | |||
|10/4, 63/25 | |||
|5/2 | |||
|- | |||
|19 | |||
|1680.28 | |||
|16/6, 29/11, 66/25 | |||
|8/3 | |||
|- | |||
|20 | |||
|1768.72 | |||
|11/4, 28/10 | |||
|14/5 | |||
|} | |||
The subgroup interpretation used is 5/3.4.6.7.9.10.11.29. Other interpretations are possible. Don't forget that fractions can multiply, e.g. 9*5/3=15, 15*5/3=25. | |||
== Harmonics == | == Harmonics == | ||
| Line 19: | Line 125: | ||
| collapsed = 1 | | collapsed = 1 | ||
}} | }} | ||
{{stub}} | |||