3136/3135: Difference between revisions

(3 intermediate revisions by 2 users not shown)

Line 1:

{{Infobox Interval

| Name = neomirkwai comma, ~~<br>~~neomirkwaisma

| Name = neomirkwai comma, neomirkwaisma

| Color name = 19u1uzzg2, <br>nuluzozogu 2nd, <br>Nuluzozogu comma

| 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 ==

Line 14:

Line 43:

[[Category:Neomirkwaismic]]

[[Category:Commas with unknown etymology]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Name = neomirkwai comma, <br>neomirkwaisma
+| Name = neomirkwai comma, neomirkwaisma
 | Color name = 19u1uzzg2, <br>nuluzozogu 2nd, <br>Nuluzozogu comma
 | 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 ==
@@ Line 14: / Line 43: @@
 [[Category:Neomirkwaismic]]
+[[Category:Commas with unknown etymology]]