200edo: Difference between revisions
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'''200edo''' divides the octave into 200 parts of exactly '''6 cents''' each, and contains a [[ | '''200edo''' divides the octave into 200 parts of exactly '''6 cents''' each, and contains a [[perfect fifth]] of exactly '''702 cents''' and a [[perfect fourth]] of exactly '''498''' cents, which is quite accurate, with an error of about 1/22 cent. It is essentially a perfect EDO for [[Carlos Alpha]], even up many octaves. It tempers out the schisma, 32805/32768 and the quartemka, |2 -32 21> in the 5-limit and the gamelisma, 1029/1024, in the [[7-limit]], so that it supports [[Schismatic_family#Guiron|guiron temperament]]. | ||
== 200 tone equal modes == | |||
34 34 15 34 34 34 15 = [[5L_2s|Pythagorean tuning]] | 34 34 15 34 34 34 15 = [[5L_2s|Pythagorean tuning]] | ||
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The prime factorization | The prime factorization | ||
200 = | 200 = 2<sup>3</sup> * 5<sup>2</sup> | ||
leads to these | leads to these divisors (or: ''sub edos'') | ||
{{EDOs|2, 4, 5, 8, 10, 20, 25, 40, 50, 100}} | |||
=Music= | == Music == | ||
[http://soonlabel.com/xenharmonic/archives/1324 Fugue on Elgar’s Enigma Theme] [http://soonlabel.com/xenharmonic/wp-content/uploads/2013/10/Claudi_Meneghin_Enigma_Fugue.mp3 play] by Claudi Meneghin | * [http://soonlabel.com/xenharmonic/archives/1324 Fugue on Elgar’s Enigma Theme] [http://soonlabel.com/xenharmonic/wp-content/uploads/2013/10/Claudi_Meneghin_Enigma_Fugue.mp3 play] by [[Claudi Meneghin]] | ||
[[Category: | [[Category:Edo]] | ||
Revision as of 19:54, 19 July 2020
200edo divides the octave into 200 parts of exactly 6 cents each, and contains a perfect fifth of exactly 702 cents and a perfect fourth of exactly 498 cents, which is quite accurate, with an error of about 1/22 cent. It is essentially a perfect EDO for Carlos Alpha, even up many octaves. It tempers out the schisma, 32805/32768 and the quartemka, |2 -32 21> in the 5-limit and the gamelisma, 1029/1024, in the 7-limit, so that it supports guiron temperament.
200 tone equal modes
34 34 15 34 34 34 15 = Pythagorean tuning
32 32 20 32 32 32 20 = Meantone tuning in the same way of 50edo
27 27 27 27 27 27 27 11 = Porcupine tuning
26 26 26 9 26 26 26 26 9 = Superdiatonic tuning
24 24 24 16 24 24 24 24 16 = Superdiatonic tuning in the same way of 25edo
22 22 8 22 22 22 8 22 22 22 8 = Sensi
16 16 16 8 16 16 16 16 8 16 16 16 16 8 = Ketradektriatoh tuning
The prime factorization
200 = 23 * 52
leads to these divisors (or: sub edos)
2, 4, 5, 8, 10, 20, 25, 40, 50, 100