Amity family: Difference between revisions

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The generator for [[amity]] temperament is the acute minor third, which means ~~an ordinary~~ 6/5 minor third raised by an 81/80 comma to 243/200, and from this it derives its name~~. It tempers out the 5-limit amity comma, 1600000/1594323~~. It can also be described as the 46&53 temperament, which tempers out [[4375/4374]] and [[5120/5103]] in the 7-limit. [[99edo|99EDO]] is a good tuning for amity, with generator 28/99, and MOS of 11, 18, 25, 32, 46 or 53 notes are available. If you are looking for a different kind of neutral third this could be the temperament for you.

The '''amity family''' tempers out the 5-limit [[amity comma]], 1600000/1594323. The generator for the [[amity]] temperament is the acute minor third, which means the 6/5 just minor third raised by an 81/80 comma to 243/200, and from this it derives its name. It can also be described as the 46&53 temperament, which tempers out [[4375/4374]] and [[5120/5103]] in the 7-limit. [[99edo|99EDO]] is a good tuning for amity, with generator 28\99, and MOS of 11, 18, 25, 32, 46 or 53 notes are available. If you are looking for a different kind of neutral third this could be the temperament for you.

~~Temperaments not discussed here include:~~

* ''[[amicable]]'', {2401/2400, 1600000/1594323} → [[Breedsmic temperaments #Amicable]]

* ''[[chromat]]'', {10976/10935, 235298/234375} → [[Hemimage temperaments #Chromat]]

= Amity =

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[[Badness]]: 0.021960

== Extensions ==

The second comma to extend the 5-limit amity include 4375/4374 for amity, 126/125 for accord, 245/243 for bamity, 2430/2401 for hamity, 225/224 for houborizic, 1029/1024 for gamity, and 16875/16807 for familia.

Temperaments discussed elsewhere include:

* ''[[amicable]]'', {2401/2400, 1600000/1594323} → [[Breedsmic temperaments #Amicable]]

* ''[[chromat]]'', {10976/10935, 235298/234375} → [[Hemimage temperaments #Chromat]]

= Septimal amity =

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-The generator for [[amity]] temperament is the acute minor third, which means an ordinary 6/5 minor third raised by an 81/80 comma to 243/200, and from this it derives its name. It tempers out the 5-limit amity comma, 1600000/1594323. It can also be described as the 46&amp;53 temperament, which tempers out [[4375/4374]] and [[5120/5103]] in the 7-limit. [[99edo|99EDO]] is a good tuning for amity, with generator 28/99, and MOS of 11, 18, 25, 32, 46 or 53 notes are available. If you are looking for a different kind of neutral third this could be the temperament for you.
+The '''amity family''' tempers out the 5-limit [[amity comma]], 1600000/1594323. The generator for the [[amity]] temperament is the acute minor third, which means the 6/5 just minor third raised by an 81/80 comma to 243/200, and from this it derives its name. It can also be described as the 46&amp;53 temperament, which tempers out [[4375/4374]] and [[5120/5103]] in the 7-limit. [[99edo|99EDO]] is a good tuning for amity, with generator 28\99, and MOS of 11, 18, 25, 32, 46 or 53 notes are available. If you are looking for a different kind of neutral third this could be the temperament for you.
-Temperaments not discussed here include:
-* ''[[amicable]]'', {2401/2400, 1600000/1594323} → [[Breedsmic temperaments #Amicable]]
-* ''[[chromat]]'', {10976/10935, 235298/234375} → [[Hemimage temperaments #Chromat]]
 = Amity =
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 [[Badness]]: 0.021960
+== Extensions ==
+The second comma to extend the 5-limit amity include 4375/4374 for amity, 126/125 for accord, 245/243 for bamity, 2430/2401 for hamity, 225/224 for houborizic, 1029/1024 for gamity, and 16875/16807 for familia.
+Temperaments discussed elsewhere include:
+* ''[[amicable]]'', {2401/2400, 1600000/1594323} → [[Breedsmic temperaments #Amicable]]
+* ''[[chromat]]'', {10976/10935, 235298/234375} → [[Hemimage temperaments #Chromat]]
 = Septimal amity =