Keenanismic temperaments: Difference between revisions

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* ''[[Enlil]]'', {385/384, 6250/6237} → [[Kleismic rank three family #Enlil]]

Considered below is ''~~headquarters~~''.

Considered below is ''uniwiz''.

== ~~Headquarters~~ ==

== Uniwiz ==

~~Headquarters~~ tempers out 1500625/1492992 = {{monzo| -11 -6 4 4 }} in the 7-limit, and the keenanisma, 385/384, the kalisma, [[9801/9800]], as well as the [[Alpharabian comma]], 131769/131072 = {{monzo| -17 2 0 0 4 }}, in the 11-limit. It features the split of the whole tone into four equal parts, each representing 36/35~33/32. Therefore, it is most interesting to those who would like to make extensive use of quartertones. It can be viewed as one which is joined by the three quartertone-size equal temperaments: [[22edo|22]], [[24edo|24]], and [[26edo|26]]. It shares the [[optimal patent val]], [[284edo|284]], with [[keenanismic]].

Uniwiz tempers out 1500625/1492992 = {{monzo| -11 -6 4 4 }} in the 7-limit, and the keenanisma, 385/384, the kalisma, [[9801/9800]], as well as the [[Alpharabian comma]], 131769/131072 = {{monzo| -17 2 0 0 4 }}, in the 11-limit. It features the split of the whole tone into four equal parts, each representing 36/35~33/32. Therefore, it is most interesting to those who would like to make extensive use of quartertones. It can be viewed as one which is joined by the three quartertone-size equal temperaments: [[22edo|22]], [[24edo|24]], and [[26edo|26]]. It shares the [[optimal patent val]], [[284edo|284]], with [[keenanismic]].

=== 7-limit ===

@@ Line 17: / Line 17: @@
 * ''[[Enlil]]'', {385/384, 6250/6237} → [[Kleismic rank three family #Enlil]]
-Considered below is ''headquarters''.
+Considered below is ''uniwiz''.
-== Headquarters ==
+== Uniwiz ==
-Headquarters tempers out 1500625/1492992 = {{monzo| -11 -6 4 4 }} in the 7-limit, and the keenanisma, 385/384, the kalisma, [[9801/9800]], as well as the [[Alpharabian comma]], 131769/131072 = {{monzo| -17 2 0 0 4 }}, in the 11-limit. It features the split of the whole tone into four equal parts, each representing 36/35~33/32. Therefore, it is most interesting to those who would like to make extensive use of quartertones. It can be viewed as one which is joined by the three quartertone-size equal temperaments: [[22edo|22]], [[24edo|24]], and [[26edo|26]]. It shares the [[optimal patent val]], [[284edo|284]], with [[keenanismic]].
+Uniwiz tempers out 1500625/1492992 = {{monzo| -11 -6 4 4 }} in the 7-limit, and the keenanisma, 385/384, the kalisma, [[9801/9800]], as well as the [[Alpharabian comma]], 131769/131072 = {{monzo| -17 2 0 0 4 }}, in the 11-limit. It features the split of the whole tone into four equal parts, each representing 36/35~33/32. Therefore, it is most interesting to those who would like to make extensive use of quartertones. It can be viewed as one which is joined by the three quartertone-size equal temperaments: [[22edo|22]], [[24edo|24]], and [[26edo|26]]. It shares the [[optimal patent val]], [[284edo|284]], with [[keenanismic]].
 === 7-limit ===