22edt: Difference between revisions

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intro, re-calculated interval table, re-categorized
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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]]