Meantone family: Difference between revisions

Line 795:

=Injera=

[[~~Comma|~~Comma]]s: 50/49, 81/80

[[Comma]]s: 50/49, 81/80

The wedgie for injera is <<2 8 8 8 7 -4||, which tells us it has a half-octave period and a generator which can be taken as a fifth or fourth, but also as a 15/14 semitone difference between a half-octave and a perfect fifth. Injera tempers out 50/49, equating 7/5 with 10/7 and giving a tritone of half an octave. A major third up from this tritone is the 7/4. [[~~38edo|~~38edo]], which is two parallel [[~~19edo|~~19edo]]s, is an excellent tuning for injera.

The wedgie for injera is <<2 8 8 8 7 -4||, which tells us it has a half-octave period and a generator which can be taken as a fifth or fourth, but also as a 15/14 semitone difference between a half-octave and a perfect fifth. Injera tempers out 50/49, equating 7/5 with 10/7 and giving a tritone of half an octave. A major third up from this tritone is the 7/4. [[38edo]], which is two parallel [[19edo]]s, is an excellent tuning for injera.

[http://tech.groups.yahoo.com/group/tuning-math/message/3091 Origin of the name]

Line 813:

Map: [<2 0 -8 -7|, <0 1 4 4|]

[[~~wedgie|~~Wedgie]]: <<2 8 8 8 7 -4||

[[Wedgie]]: <<2 8 8 8 7 -4||

EDOs: [[12edo|12]], [[26edo|26]], [[38edo|38]], [[102edo|102bcd]], [[140edo|~~140bcd~~]], [[178edo|~~178bcd~~]]

EDOs: [[12edo|12]], [[26edo|26]], [[38edo|38]], [[102edo|102bcd]], [[140edo|140bccd]], [[178edo|178bbccdd]]

[[~~Badness|~~Badness]]: 0.0311

[[Badness]]: 0.0311

== Music ==

==Music==

* [http://micro.soonlabel.com/gene_ward_smith/Others/Igs/Two%20Pairs%20of%20Socks.mp3 Two Pairs of Socks] (in [[26edo]]) by [[Igliashon Jones]]

* [http://micro.soonlabel.com/gene_ward_smith/Others/Curley/Zach%20Curley%20-%20Injera%20Jam.mp3 Injera Jam] (in [[26edo]]) by [[Zach Curley]]

Line 838:

Map: [<2 0 -8 -7 -12|, <0 1 4 4 6|]

EDOs: 12, 14c, 26. 90bce, ~~116bce~~

EDOs: 12, 14c, 26, 90bce, 116bcce

Badness: 0.0231

==13-limit==

Commas: 45/44, 50/49, 81/80~~, 78/77~~

Commas: 45/44, 50/49, 78/77, 81/80

valid range: 692.308 (26)

Line 857:

Map: [<2 0 -8 -7 -12 -21|, <0 1 4 4 6 9|]

EDOs: 26, ~~104bcf~~

EDOs: 12f, 14cf, 26, 38e

Badness: 0.0216

==Enjera==

Commas: 27/26, 40/39, 45/44, 99/98

Commas: 27/26, 40/39, 45/44, 50/49

POTE generator: ~3/2 = 694.121

Line 870:

Map: [<2 0 -8 -7 -12 -2|, <0 1 4 4 6 3|]

EDOs: 12f, 26f, ~~38ef~~

EDOs: 12f, 14c, 26f, 38eff

Badness: 0.0265

Line 883:

Map: [<2 0 -8 -7 10|, <0 1 4 4 -1|]

EDOs: 12e, 14c, 26e, ~~40ce~~

EDOs: 12e, 14c, 26e, 40cee

Badness: 0.0386

Line 896:

Map: [<2 0 -8 -7 7|, <0 1 4 4 0|]

EDOs: 12

EDOs: 2cd, 12, 14ce

Badness: 0.0431

@@ Line 795: / Line 795: @@
 =Injera=
-[[Comma|Comma]]s: 50/49, 81/80
+[[Comma]]s: 50/49, 81/80
-The wedgie for injera is &lt;&lt;2 8 8 8 7 -4||, which tells us it has a half-octave period and a generator which can be taken as a fifth or fourth, but also as a 15/14 semitone difference between a half-octave and a perfect fifth. Injera tempers out 50/49, equating 7/5 with 10/7 and giving a tritone of half an octave. A major third up from this tritone is the 7/4. [[38edo|38edo]], which is two parallel [[19edo|19edo]]s, is an excellent tuning for injera.
+The wedgie for injera is &lt;&lt;2 8 8 8 7 -4||, which tells us it has a half-octave period and a generator which can be taken as a fifth or fourth, but also as a 15/14 semitone difference between a half-octave and a perfect fifth. Injera tempers out 50/49, equating 7/5 with 10/7 and giving a tritone of half an octave. A major third up from this tritone is the 7/4. [[38edo]], which is two parallel [[19edo]]s, is an excellent tuning for injera.
 [http://tech.groups.yahoo.com/group/tuning-math/message/3091 Origin of the name]
@@ Line 813: / Line 813: @@
 Map: [&lt;2 0 -8 -7|, &lt;0 1 4 4|]
-[[wedgie|Wedgie]]: &lt;&lt;2 8 8 8 7 -4||
+[[Wedgie]]: &lt;&lt;2 8 8 8 7 -4||
-EDOs: [[12edo|12]], [[26edo|26]], [[38edo|38]], [[102edo|102bcd]], [[140edo|140bcd]], [[178edo|178bcd]]
+EDOs: [[12edo|12]], [[26edo|26]], [[38edo|38]], [[102edo|102bcd]], [[140edo|140bccd]], [[178edo|178bbccdd]]
-[[Badness|Badness]]: 0.0311
+[[Badness]]: 0.0311
-== Music ==
+==Music==
 * [http://micro.soonlabel.com/gene_ward_smith/Others/Igs/Two%20Pairs%20of%20Socks.mp3 Two Pairs of Socks] (in [[26edo]]) by [[Igliashon Jones]]
 * [http://micro.soonlabel.com/gene_ward_smith/Others/Curley/Zach%20Curley%20-%20Injera%20Jam.mp3 Injera Jam] (in [[26edo]]) by [[Zach Curley]]
@@ Line 838: / Line 838: @@
 Map: [&lt;2 0 -8 -7 -12|, &lt;0 1 4 4 6|]
-EDOs: 12, 14c, 26. 90bce, 116bce
+EDOs: 12, 14c, 26, 90bce, 116bcce
 Badness: 0.0231
 ==13-limit==
-Commas: 45/44, 50/49, 81/80, 78/77
+Commas: 45/44, 50/49, 78/77, 81/80
 valid range: 692.308 (26)
@@ Line 857: / Line 857: @@
 Map: [&lt;2 0 -8 -7 -12 -21|, &lt;0 1 4 4 6 9|]
-EDOs: 26, 104bcf
+EDOs: 12f, 14cf, 26, 38e
 Badness: 0.0216
 ==Enjera==
-Commas: 27/26, 40/39, 45/44, 99/98
+Commas: 27/26, 40/39, 45/44, 50/49
 POTE generator: ~3/2 = 694.121
@@ Line 870: / Line 870: @@
 Map: [&lt;2 0 -8 -7 -12 -2|, &lt;0 1 4 4 6 3|]
-EDOs: 12f, 26f, 38ef
+EDOs: 12f, 14c, 26f, 38eff
 Badness: 0.0265
@@ Line 883: / Line 883: @@
 Map: [&lt;2 0 -8 -7 10|, &lt;0 1 4 4 -1|]
-EDOs: 12e, 14c, 26e, 40ce
+EDOs: 12e, 14c, 26e, 40cee
 Badness: 0.0386
@@ Line 896: / Line 896: @@
 Map: [&lt;2 0 -8 -7 7|, &lt;0 1 4 4 0|]
-EDOs: 12
+EDOs: 2cd, 12, 14ce
 Badness: 0.0431