Amity family: Difference between revisions

Line 1:

~~__FORCETOC__~~

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. Aside from the ragisma it tempers out the 5-limit amity comma, 1600000/1594323, 5120/5103 and 6144/6125. It can also be described as the 46&53 temperament, or by its wedgie, <<5 13 -17 9 -41 -76||. [[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.

=Amity=

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. Aside from the ragisma it tempers out the 5-limit amity comma, 1600000/1594323, 5120/5103 and 6144/6125. It can also be described as the 46&53 temperament, or by its wedgie, <<5 13 -17 9 -41 -76||. [[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.

~~In the 5-limit amity is a genuine microtemperament, with 58/205 being a possible tuning. Another good choice is (64/5)^(1/13), which gives pure major thirds.~~

Comma: 1600000/1594323

Line 53:

Line 50:

Commas: 3025/3024, 4375/4374, 5120/5103

POTE generator: ~~~128~~/~~105~~ = 339.493

POTE generator: ~64/55 = 339.493

Map: [<2 1 -1 13 13|, <0 5 13 -17 -14|]

Line 61:

Line 58:

Badness: 0.0313

==Accord==

=Accord=

Commas: 126/125, 100352/98415

Line 70:

Line 67:

Wedgie: <<5 13 29 9 32 31||

EDOs: 46, 131c, 177c

EDOs: 7d, 46, 131c, 177c

Badness: 0.0956

===11-limit===

==11-limit==

Commas: 121/120, 126/125, 896/891

Line 81:

Line 78:

Map: [<1 3 6 11 6|, <0 -5 -13 -29 -9|]

EDOs: 46, 177c, 223bc, 269bce

EDOs: 7d, 46, 177c, 223bc, 269bce

Badness: 0.0425

Line 151:

Line 148:

Map: [<1 8 19 15 15 30|, <0 -10 -26 -19 -18 -41|]

EDOs: 53

EDOs: 14cf, 53

Badness: 0.0298

[[Category:Amity]]

@@ Line 1: / Line 1: @@
-__FORCETOC__
+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. Aside from the ragisma it tempers out the 5-limit amity comma, 1600000/1594323, 5120/5103 and 6144/6125. It can also be described as the 46&amp;53 temperament, or by its wedgie, &lt;&lt;5 13 -17 9 -41 -76||. [[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.
 =Amity=
-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. Aside from the ragisma it tempers out the 5-limit amity comma, 1600000/1594323, 5120/5103 and 6144/6125. It can also be described as the 46&amp;53 temperament, or by its wedgie, &lt;&lt;5 13 -17 9 -41 -76||. [[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.
-In the 5-limit amity is a genuine microtemperament, with 58/205 being a possible tuning. Another good choice is (64/5)^(1/13), which gives pure major thirds.
 Comma: 1600000/1594323
@@ Line 53: / Line 50: @@
 Commas: 3025/3024, 4375/4374, 5120/5103
-POTE generator: ~128/105 = 339.493
+POTE generator: ~64/55 = 339.493
 Map: [&lt;2 1 -1 13 13|, &lt;0 5 13 -17 -14|]
@@ Line 61: / Line 58: @@
 Badness: 0.0313
-==Accord==
+=Accord=
 Commas: 126/125, 100352/98415
@@ Line 70: / Line 67: @@
 Wedgie: &lt;&lt;5 13 29 9 32 31||
-EDOs: 46, 131c, 177c
+EDOs: 7d, 46, 131c, 177c
 Badness: 0.0956
-===11-limit===
+==11-limit==
 Commas: 121/120, 126/125, 896/891
@@ Line 81: / Line 78: @@
 Map: [&lt;1 3 6 11 6|, &lt;0 -5 -13 -29 -9|]
-EDOs: 46, 177c, 223bc, 269bce
+EDOs: 7d, 46, 177c, 223bc, 269bce
 Badness: 0.0425
@@ Line 151: / Line 148: @@
 Map: [&lt;1 8 19 15 15 30|, &lt;0 -10 -26 -19 -18 -41|]
-EDOs: 53
+EDOs: 14cf, 53
 Badness: 0.0298
+[[Category:Amity]]