22edt: Difference between revisions
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minor whole tone -> small whole tone |
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{| class="wikitable" style="text-align: right" | {| class="wikitable" style="text-align: right" | ||
! Steps !! [[Cent]]s | ! Steps !! [[Cent]]s | ||
!hekts | |||
|- | |- | ||
| 1 || 86.453 | | 1 || 86.453 | ||
|59.091 | |||
|- | |- | ||
| 2 || 172.905 | | 2 || 172.905 | ||
|118.182 | |||
|- | |- | ||
| 3 || 259.358 | | 3 || 259.358 | ||
|177.273 | |||
|- | |- | ||
| 4 || 345. | | 4 || 345.81 | ||
|236.364 | |||
|- | |- | ||
| 5 || 432.263 | | 5 || 432.263 | ||
|295.4545 | |||
|- | |- | ||
| 6 || 518.715 | | 6 || 518.715 | ||
|354.5455 | |||
|- | |- | ||
| 7 || 605.168 | | 7 || 605.168 | ||
|413.636 | |||
|- | |- | ||
| 8 || 691.620 | | 8 || 691.620 | ||
|472.727 | |||
|- | |- | ||
| 9 || 778.073 | | 9 || 778.073 | ||
|531.818 | |||
|- | |- | ||
| 10 || 864.525 | | 10 || 864.525 | ||
|590.909 | |||
|- | |- | ||
| 11 || 950.978 | | 11 || 950.978 | ||
|650 | |||
|- | |- | ||
| 12 || 1037.430 | | 12 || 1037.430 | ||
|709.091 | |||
|- | |- | ||
| 13 || 1123.883 | | 13 || 1123.883 | ||
|768.182 | |||
|- | |- | ||
| 14 || 1210.335 | | 14 || 1210.335 | ||
|827.273 | |||
|- | |- | ||
| 15 || 1296.788 | | 15 || 1296.788 | ||
|886.364 | |||
|- | |- | ||
| 16 || 1383. | | 16 || 1383.24 | ||
|945.4545 | |||
|- | |- | ||
| 17 || 1469.693 | | 17 || 1469.693 | ||
|1004.5455 | |||
|- | |- | ||
| 18 || 1556.145 | | 18 || 1556.145 | ||
|1063.636 | |||
|- | |- | ||
| 19 || 1642.598 | | 19 || 1642.598 | ||
|1122.727 | |||
|- | |- | ||
| 20 || 1729. | | 20 || 1729.05 | ||
|1181.818 | |||
|- | |- | ||
| 21 || 1815.503 | | 21 || 1815.503 | ||
|1240.909 | |||
|- | |- | ||
| 22 || 1901.955 | | 22 || 1901.955 | ||
|1300 | |||
|} | |} | ||
== Compositions == | == Compositions == | ||
* | * http://www.archive.org/details/TuneIn22Edt by [[Peter Kosmorsky]] | ||
* [http://micro.soonlabel.com/22-edt/daily20111206-22edt-improv.mp3 22 edt piano improvisation] by [[Chris Vaisvil]] | * [http://micro.soonlabel.com/22-edt/daily20111206-22edt-improv.mp3 22 edt piano improvisation] by [[Chris Vaisvil]] | ||
Revision as of 17:53, 15 April 2019
22edt is the equal division of the third harmonic (edt) into 22 tones, each 86.4525 cents in size.
22edt has good approximations of the 7th, 11th, 19th and 20th harmonics. It also has the 4L+5s MOS with L=3 and s=2 approximating 5/3 somewhat fuzzily.
Like 11edt, both the octave and small whole tone (10/9) are about 10c off (sharp and flat respectively) dissonant but recognizable. Like 16edt and Blackwood, admitting the octave induces an interpretation into a tritave-based version of Whitewood temperament.
Intervals
| Steps | Cents | hekts |
|---|---|---|
| 1 | 86.453 | 59.091 |
| 2 | 172.905 | 118.182 |
| 3 | 259.358 | 177.273 |
| 4 | 345.81 | 236.364 |
| 5 | 432.263 | 295.4545 |
| 6 | 518.715 | 354.5455 |
| 7 | 605.168 | 413.636 |
| 8 | 691.620 | 472.727 |
| 9 | 778.073 | 531.818 |
| 10 | 864.525 | 590.909 |
| 11 | 950.978 | 650 |
| 12 | 1037.430 | 709.091 |
| 13 | 1123.883 | 768.182 |
| 14 | 1210.335 | 827.273 |
| 15 | 1296.788 | 886.364 |
| 16 | 1383.24 | 945.4545 |
| 17 | 1469.693 | 1004.5455 |
| 18 | 1556.145 | 1063.636 |
| 19 | 1642.598 | 1122.727 |
| 20 | 1729.05 | 1181.818 |
| 21 | 1815.503 | 1240.909 |
| 22 | 1901.955 | 1300 |