22edt: Difference between revisions

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'''22edt''' is the [[edt|equal division of the third harmonic]] into 22 tones, each 86.453 [[cent|cent]]s in size.
'''22edt''' is the '''equal division of the third harmonic''' ([[edt]]) into '''22 tones''', each approx. 86.453 [[cent]]s 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.
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|11edt]], both the [[Octave|octave]] and [[minor_whole_tone|minor whole tone]] [[10/9|10:9]] are about 10c off (sharp and flat respectively) dissonant but recognizable. Like [[16edt|16edt]] and Blackwood, admitting the octave induces an interpretation into a tritave-based version of Whitewood temperament.
Like [[11edt]], both the [[octave]] and [[minor 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'''=
== Intervals ==
86.4525


172.905
{| class="wikitable" style="text-align: right"
! Steps !! [[Cent]]s
|-
| 1 || 86.453
|-
| 2 || 172.905
|-
| 3 || 259.358
|-
| 4 || 345.810
|-
| 5 || 432.263
|-
| 6 || 518.715
|-
| 7 || 605.168
|-
| 8 || 691.620
|-
| 9 || 778.073
|-
| 10 || 864.525
|-
| 11 || 950.978
|-
| 12 || 1037.430
|-
| 13 || 1123.883
|-
| 14 || 1210.335
|-
| 15 || 1296.788
|-
| 16 || 1383.240
|-
| 17 || 1469.693
|-
| 18 || 1556.145
|-
| 19 || 1642.598
|-
| 20 || 1729.050
|-
| 21 || 1815.503
|-
| 22 || 1901.955
|}


259.3575
== Compositions ==
* [http://www.archive.org/details/TuneIn22Edt 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]]


345.81
[[Category:Edt]]
 
[[Category:Nonoctave]]
432.2625
[[Category:Listen]]
 
518.715
 
605.1675
 
691.62
 
778.0725
 
864.525
 
950.9775
 
1037.43
 
1123.8825
 
1210.335
 
1296.7875
 
1383.24
 
1469.6925
 
1556.145
 
1642.5975
 
1729.05
 
1815.5025
 
3/1
 
=Compositions=
[http://www.archive.org/details/TuneIn22Edt http://www.archive.org/details/TuneIn22Edt] - Kosmorsky
 
<span style="">[http://micro.soonlabel.com/22-edt/daily20111206-22edt-improv.mp3 22 edt piano improvisation]</span> by [[Chris_Vaisvil|Chris Vaisvil]]
 
[[Category:22edt]]
[[Category:edonoi]]
[[Category:edt]]
[[Category:equal]]
[[Category:nonoctave]]

Revision as of 13:12, 28 October 2018

22edt is the equal division of the third harmonic (edt) into 22 tones, each approx. 86.453 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 minor 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
1 86.453
2 172.905
3 259.358
4 345.810
5 432.263
6 518.715
7 605.168
8 691.620
9 778.073
10 864.525
11 950.978
12 1037.430
13 1123.883
14 1210.335
15 1296.788
16 1383.240
17 1469.693
18 1556.145
19 1642.598
20 1729.050
21 1815.503
22 1901.955

Compositions

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