3136/3135: Difference between revisions

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+commatic relations. This is a notable comma as it's 11-limit + 19
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{{Infobox Interval
{{Infobox Interval
| Name = neomirkwai comma, <br>neomirkwaisma
| Name = neomirkwai comma, neomirkwaisma
| Color name = 19u1uzzg2, <br>nuluzozogu 2nd, <br>Nuluzozogu comma
| Color name = 19u1uzzg2, <br>nuluzozogu 2nd, <br>Nuluzozogu comma
| Comma = yes
| Comma = yes
}}
}}
'''3136/3135''', the '''neomirkwaisma''' or '''neomirkwai comma''', is a [[19-limit]] [[Superparticular ratio|superparticular comma]] of about 0.55 [[cent]]s. It is the amount by which a stack consisting of [[11/8]], [[15/14]] and [[19/14]] falls short of an [[octave]]. By tempering it out is defined the '''neomirkwaismic temperament''', which enables the [[neomirkwaismic chords]].
'''3136/3135''', the '''neomirkwaisma''' or '''neomirkwai comma''', is a [[19-limit]] (also 2.3.5.7.11.19 [[subgroup]]) [[superparticular ratio|superparticular comma]] of about 0.55 [[cent]]s. It is the amount by which a stack consisting of [[11/8]], [[15/14]] and [[19/14]] falls short of an [[octave]].  
 
== Commatic relations ==
This comma is the difference between the following superparticular pairs:
* [[56/55]] and [[57/56]] *
* [[96/95]] and [[99/98]] *
* [[196/195]] and [[209/208]]
* [[210/209]] and [[225/224]] *
* [[343/342]] and [[385/384]] *
* [[441/440]] and [[513/512]] *
* [[476/475]] and [[561/560]]
* [[1540/1539]] and [[3025/3024]] *
* [[2058/2057]] and [[5985/5984]]
* [[2080/2079]] and [[6175/6174]]
* [[2376/2375]] and [[9801/9800]] *
* [[2401/2400]] and [[10241/10240]] *
* [[2432/2431]] and [[10830/10829]]
* [[2926/2925]] and [[43681/43680]]
 
It factors into the following superparticular pairs:
* [[5929/5928]] and [[6656/6655]]
* [[5776/5775]] and [[6860/6859]] *
* [[4200/4199]] and [[12376/12375]]
* [[4096/4095]] and [[13377/13376]]
* [[3250/3249]] and [[89376/89375]]
 
<nowiki>*</nowiki> relation within the 2.3.5.7.11.19 subgroup
 
== Temperaments ==
By tempering it out is defined the '''neomirkwaismic temperament''', which enables the [[neomirkwaismic chords]].


== Etymology ==
== Etymology ==