20edt: Difference between revisions
Created page with "'''20EDT''' is the equal division of the third harmonic into 20 parts of 95.0978 cents each, corresponding to 12.6186 edo. {| class="wikitable" |- ! | de..." Tags: Mobile edit Mobile web edit |
m Removing from Category:Edonoi using Cat-a-lot |
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{{Infobox ET}} | |||
{{ED intro}} It corresponds to 12.6186 [[edo]]. | |||
== Intervals == | |||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
! | degree | ! | degree | ||
! | cents value | ! | cents value | ||
!hekts | |||
! | corresponding <br>JI intervals | ! | corresponding <br>JI intervals | ||
! | comments | ! | comments | ||
|- | |- | ||
! colspan="3" | 0 | |||
| | '''exact [[1/1]]''' | | | '''exact [[1/1]]''' | ||
| | | | | | ||
| Line 15: | Line 17: | ||
| | 1 | | | 1 | ||
| | 95.0978 | | | 95.0978 | ||
|65 | |||
| | | | | | ||
| | | | | | ||
| Line 20: | Line 23: | ||
| | 2 | | | 2 | ||
| | 190.1955 | | | 190.1955 | ||
|130 | |||
| | | | | | ||
| | | | | | ||
| Line 25: | Line 29: | ||
| | 3 | | | 3 | ||
| | 285.2933 | | | 285.2933 | ||
| | | |195 | ||
| | 33/28, [[13/11]] | |||
| | | | | | ||
|- | |- | ||
| | 4 | | | 4 | ||
| | 380. | | | 380.391 | ||
| | | |260 | ||
| | [[5/4]] | |||
| | | | | | ||
|- | |- | ||
| | 5 | | | 5 | ||
| | 475.4888 | | | 475.4888 | ||
|325 | |||
| | | | | | ||
| | | | | | ||
| Line 40: | Line 47: | ||
| | 6 | | | 6 | ||
| | 570.5865 | | | 570.5865 | ||
| | | |390 | ||
| | 39/28 | |||
| | | | | | ||
|- | |- | ||
| | 7 | | | 7 | ||
| | 665.6843 | | | 665.6843 | ||
| | | |455 | ||
| | [[22/15]] | |||
| | | | | | ||
|- | |- | ||
| | 8 | | | 8 | ||
| | 760.7820 | | | 760.7820 | ||
|520 | |||
| | | | | | ||
| | | | | | ||
| Line 55: | Line 65: | ||
| | 9 | | | 9 | ||
| | 855.8798 | | | 855.8798 | ||
|585 | |||
| | [[18/11]] | | | [[18/11]] | ||
| | | | | | ||
| Line 60: | Line 71: | ||
| | 10 | | | 10 | ||
| | 950.9775 | | | 950.9775 | ||
|650 | |||
| | 45/26, [[26/15]] | | | 45/26, [[26/15]] | ||
| | | | | | ||
| Line 65: | Line 77: | ||
| | 11 | | | 11 | ||
| | 1046.0753 | | | 1046.0753 | ||
|725 | |||
| | [[11/6]] | | | [[11/6]] | ||
| | | | | | ||
|- | |- | ||
| | 12 | | | 12 | ||
| | 1141. | | | 1141.173 | ||
|780 | |||
| | | | | | ||
| | | | | | ||
| Line 75: | Line 89: | ||
| | 13 | | | 13 | ||
| | 1236.2708 | | | 1236.2708 | ||
| | | |845 | ||
| | [[45/44|45/22]] | |||
| | | | | | ||
|- | |- | ||
| | 14 | | | 14 | ||
| | 1331.3685 | | | 1331.3685 | ||
| | | |910 | ||
| | [[14/13|28/13]] | |||
| | | | | | ||
|- | |- | ||
| | 15 | | | 15 | ||
| | 1426.4663 | | | 1426.4663 | ||
|975 | |||
| | | | | | ||
| | | | | | ||
|- | |- | ||
| | 16 | | | 16 | ||
| | 1521. | | | 1521.564 | ||
| | | |1040 | ||
| | [[12/5]] | |||
| | | | | | ||
|- | |- | ||
| | 17 | | | 17 | ||
| | 1616.6618 | | | 1616.6618 | ||
| | | |1105 | ||
| | 33/13, [[14/11|28/11]] | |||
| | | | | | ||
|- | |- | ||
| | 18 | | | 18 | ||
| | 1711.7595 | | | 1711.7595 | ||
|1170 | |||
| | | | | | ||
| | | | | | ||
| Line 105: | Line 125: | ||
| | 19 | | | 19 | ||
| | 1806.8573 | | | 1806.8573 | ||
|1235 | |||
| | | | | | ||
| | | | | | ||
|- | |- | ||
| | 20 | | | 20 | ||
| | 1901. | | | 1901.955 | ||
|1300 | |||
| | '''exact [[3/1]]''' | | | '''exact [[3/1]]''' | ||
| | [[3/2|just perfect fifth]] plus an octave | | | [[3/2|just perfect fifth]] plus an octave | ||
|} | |} | ||
== Harmonics == | |||
{{Harmonics in equal | |||
| steps = 20 | |||
| num = 3 | |||
| denom = 1 | |||
| intervals = integer | |||
}} | |||
{{Harmonics in equal | |||
| steps = 20 | |||
| num = 3 | |||
| denom = 1 | |||
| start = 12 | |||
| collapsed = 1 | |||
| intervals = integer | |||
}} | |||
{{stub}} | |||