Consonant class scale: Difference between revisions
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<ul><li>Mavila[5] (2-step intervals consist of 1 6/5 and 4 4/3's)</li><li>Hanson[7] (2-step intervals consist of 6 6/5's and 1 4/3)</li><li>Srutal[8] (3-step intervals consist of 2 6/5's and 6 4/3's)</li><li>Doublewide[10] (3-step intervals consist of 8 6/5's and 2 4/3's)</li></ul> | <ul><li>Mavila[5] (2-step intervals consist of 1 6/5 and 4 4/3's)</li><li>Hanson[7] (2-step intervals consist of 6 6/5's and 1 4/3)</li><li>Srutal[8] (3-step intervals consist of 2 6/5's and 6 4/3's)</li><li>Doublewide[10] (3-step intervals consist of 8 6/5's and 2 4/3's)</li></ul> | ||
===={5/4, 4/3}==== | ===={5/4, 4/3}==== | ||
<ul><li>Meantone[5] (2-step intervals consist of 1 5/4 and 4 4/3's)</li><li>Porcupine[8] (3-step intervals consist of 3 5/4's and 5 4/3's)</li><li>Diminished[8] (3-step intervals consist of 4 5/4's and 4 4/3's)</li><li>Mohajira/ | <ul><li>Meantone[5] (2-step intervals consist of 1 5/4 and 4 4/3's)</li><li>Porcupine[8] (3-step intervals consist of 3 5/4's and 5 4/3's)</li><li>Diminished[8] (3-step intervals consist of 4 5/4's and 4 4/3's)</li><li>Mohajira/Neutrominant[10] (4-step intervals consist of 2 5/4's and 8 4/3's)</li><li>Hanson[11] (4-step intervals consist of 6 5/4's and 5 4/3's)</li><li>Tetracot[13] (5-step intervals consist of 4 5/4's and 9 4/3's)</li></ul> | ||
===7-limit=== | ===7-limit=== | ||
===={8/7, 7/6}==== | ===={8/7, 7/6}==== | ||
<ul><li>Slendric[5] (1-step intervals consist of 4 8/7's and 1 7/6)</li><li>Superpyth[5] (1-step intervals consist of 3 8/7's and 2 7/6's)</li><li>Orwell[9] (2-step intervals consist of 1 8/7 and 8 7/6's)</li><li>Miracle[10] (2-step intervals consist of 8 8/7's and 2 7/6's)</li><li>Pajara[10] (2-step intervals consist of 6 8/7's and 4 7/6's)</li><li>Beatles/ | <ul><li>Slendric[5] (1-step intervals consist of 4 8/7's and 1 7/6)</li><li>Superpyth[5] (1-step intervals consist of 3 8/7's and 2 7/6's)</li><li>Orwell[9] (2-step intervals consist of 1 8/7 and 8 7/6's)</li><li>Miracle[10] (2-step intervals consist of 8 8/7's and 2 7/6's)</li><li>Pajara[10] (2-step intervals consist of 6 8/7's and 4 7/6's)</li><li>Beatles/Neutrominant/Hemif[10] (2-step intervals consist of 6 8/7's and 4 7/6's)</li><li>Hedgehog[14] (3-step intervals consist of 4 8/7's and 10 7/6's)</li><li>Porcupine[15] (3-step intervals consist of 9 8/7's and 6 7/6's)</li><li>Augene[15] (3-step intervals consist of 6 8/7's and 9 7/6's)</li><li>Meantone[19] (4-step intervals consist of 9 8/7's and 10 7/6's)</li><li>Sensi[19] (4-step intervals consist of 6 8/7's and 13 7/6's)</li></ul> | ||
===={8/7, 6/5}==== | ===={8/7, 6/5}==== | ||
<ul><li>Keemun[4] (aka [[magical_seventh_chord|magical seventh chord]])</li><li>Gorgo[5] (1-step intervals consist of 4 8/7's and 1 6/5)</li><li>Porcupine[8] (2-step intervals consist of 2 8/7's and 6 6/5's)</li><li>Armodue[9] (2-step intervals consist of 4 8/7's and 5 6/5's)</li><li>Negri[9] (2 step intervals consist of 7 8/7's and 2 6/5's)</li><li>Astrology[10] (2-step intervals consist of 8 8/7's and 2 6/5's)</li><li> | <ul><li>Keemun[4] (aka [[magical_seventh_chord|magical seventh chord]])</li><li>Gorgo[5] (1-step intervals consist of 4 8/7's and 1 6/5)</li><li>Porcupine[8] (2-step intervals consist of 2 8/7's and 6 6/5's)</li><li>Armodue[9] (2-step intervals consist of 4 8/7's and 5 6/5's)</li><li>Negri[9] (2 step intervals consist of 7 8/7's and 2 6/5's)</li><li>Astrology[10] (2-step intervals consist of 8 8/7's and 2 6/5's)</li><li>Neutrominant[10] (2-step intervals consist of 6 8/7's and 4 7/6's)</li><li>Flattone[12] (3-step intervals consist of 3 8/7's and 9 6/5's)</li><li>Magic[16] (4-step intervals consist of 4 8/7's and 12 6/5's)</li><li>Mohajira[17] (4-step intervals consist of 6 8/7's and 11 6/5's)</li></ul> | ||
===={8/7, 5/4}==== | ===={8/7, 5/4}==== | ||
<ul><li>Hemithirds[7] (2-step intervals consist of 5 5/4's and 2 8/7's)</li><li>Godzilla[9] (2-step intervals consist of 8 7/6's and 1 5/4)</li><li>Magic[13] (4-step intervals consist of 1 8/7 and 12 5/4's)</li></ul> | <ul><li>Hemithirds[7] (2-step intervals consist of 5 5/4's and 2 8/7's)</li><li>Godzilla[9] (2-step intervals consist of 8 7/6's and 1 5/4)</li><li>Magic[13] (4-step intervals consist of 1 8/7 and 12 5/4's)</li></ul> | ||
===={7/6, 6/5}==== | ===={7/6, 6/5}==== | ||
<ul><li>Myna[4] (aka [[starling_tetrad|starling tetrad]])</li><li>Sensi[8] (2-step intervals consist of 2 7/6's and 6 6/5's)</li><li>Hedgehog[8] (2-step intervals consist of 4 7/6's and 4 6/5's)</li><li>Superpelog[9] (2-step intervals consist of 8 7/6's and 1 6/5)</li><li>Negri[9] (2 step intervals consist of 7 7/6's and 2 6/5's)</li><li>Meantone[12] (3-step intervals consist of 3 7/6's and 9 6/5's)</li><li>Augene[12] (3-step intervals consist of 3 7/6's and 9 6/5's)</li><li>Pajara[12] (3-step intervals consist of 6 7/6's and 6 6/5's)</li><li>Valentine[16] (4-step intervals consist of 4 7/6's and 12 6/5's)</li><li>Muggles[16] (4-step intervals consist of 4 7/6's and 12 6/5's)</li><li>Miracle[21] (5-step intervals consist of 13 7/6's and 8 6/5's)</li></ul> | <ul><li>Myna[4] (aka [[starling_tetrad|starling tetrad]])</li><li>Sensi[8] (2-step intervals consist of 2 7/6's and 6 6/5's)</li><li>Hedgehog[8] (2-step intervals consist of 4 7/6's and 4 6/5's)</li><li>Superpelog[9] (2-step intervals consist of 8 7/6's and 1 6/5)</li><li>Negri[9] (2 step intervals consist of 7 7/6's and 2 6/5's)</li><li>Meantone[12] (3-step intervals consist of 3 7/6's and 9 6/5's)</li><li>Augene[12] (3-step intervals consist of 3 7/6's and 9 6/5's)</li><li>Pajara[12] (3-step intervals consist of 6 7/6's and 6 6/5's)</li><li>Valentine[16] (4-step intervals consist of 4 7/6's and 12 6/5's)</li><li>Muggles[16] (4-step intervals consist of 4 7/6's and 12 6/5's)</li><li>Miracle[21] (5-step intervals consist of 13 7/6's and 8 6/5's)</li></ul> | ||
<ul><li>Deutone[7] (2-step intervals consist of 2 7/6's and 5 5/4's)</li><li>Godzilla[9] (2-step intervals consist of 8 7/6's and 1 5/4)</li><li>Superpyth[12] (3-step intervals consist of 9 7/6's and 3 5/4's)</li></ul> | ==== {7/6, 5/4} ==== | ||
<ul><li>Deutone[7] (2-step intervals consist of 2 7/6's and 5 5/4's)</li><li>Godzilla[9] (2-step intervals consist of 8 7/6's and 1 5/4)</li><li>Superpyth[12] (3-step intervals consist of 9 7/6's and 3 5/4's)</li></ul> | |||
<ul><li>Godzilla[9] (3-step intervals consist of 3 6/5's and 6 9/7's)</li><li>Superpyth[12] (4-step intervals consist of 4 6/5's and 8 9/7's)</li></ul> | ==== {6/5, 9/7} ==== | ||
<ul><li>Godzilla[9] (3-step intervals consist of 3 6/5's and 6 9/7's)</li><li>Superpyth[12] (4-step intervals consist of 4 6/5's and 8 9/7's)</li></ul> | |||
==== {5/4, 7/5} ==== | |||
<ul><li>Keemun[7] (3-step intervals consist of 2 5/4's and 5 7/5's)</li></ul> | <ul><li>Keemun[7] (3-step intervals consist of 2 5/4's and 5 7/5's)</li></ul> | ||
===={4/3, 7/5}==== | ===={4/3, 7/5}==== | ||
| Line 48: | Line 51: | ||
<ul><li>Orwell[9] (3-step intervals consist of 6 5/4's and 3 9/7's)</li><li>Negri[9] (3-step intervals consist of 6 5/4's and 3 9/7's)</li><li>Meantone[12] (4-step intervals consist of 8 5/4's and 4 9/7's)</li><li>Pajara[12] (4-step intervals consist of 8 5/4's and 4 9/7's)</li><li>Miracle[21] (7-step interval consists of 14 5/4's and 7 9/7's)</li></ul> | <ul><li>Orwell[9] (3-step intervals consist of 6 5/4's and 3 9/7's)</li><li>Negri[9] (3-step intervals consist of 6 5/4's and 3 9/7's)</li><li>Meantone[12] (4-step intervals consist of 8 5/4's and 4 9/7's)</li><li>Pajara[12] (4-step intervals consist of 8 5/4's and 4 9/7's)</li><li>Miracle[21] (7-step interval consists of 14 5/4's and 7 9/7's)</li></ul> | ||
===={9/7, 4/3}==== | ===={9/7, 4/3}==== | ||
<ul><li>Semaphore[5] (2-step intervals consist of 2 9/7's and 3 4/3's)</li><li>Superpyth[5] (2-step intervals consist of 1 9/7 and 4 4/3's)</li><li>Diminished[8] (3-step intervals consist of 4 9/7's and 4 4/3's)</li><li>Sensi[8] (3-step intervals consist of 7 9/7's and 1 4/3)</li><li>Hedgehog[8] (3-step intervals consist of 6 9/7's and 2 4/3's)</li><li>Beatles/Hemif/ | <ul><li>Semaphore[5] (2-step intervals consist of 2 9/7's and 3 4/3's)</li><li>Superpyth[5] (2-step intervals consist of 1 9/7 and 4 4/3's)</li><li>Diminished[8] (3-step intervals consist of 4 9/7's and 4 4/3's)</li><li>Sensi[8] (3-step intervals consist of 7 9/7's and 1 4/3)</li><li>Hedgehog[8] (3-step intervals consist of 6 9/7's and 2 4/3's)</li><li>Beatles/Hemif/Neutrominant[10] (4-step intervals consist of 2 9/7's and 8 4/3's)</li><li>Pajara[10] (4-step intervals consist of 2 9/7's and 8 4/3's)</li><li>Negri[10] (4-step intervals consist of 4 9/7's and 6 4/3's)</li><li>Orwell[13] (5-step intervals consist of 7 9/7's and 6 4/3's)</li><li>Keemun[15] (6-step intervals consist of 6 9/7's and 9 4/3's)</li><li>Augene[15] (6-step intervals consist of 3 9/7's and 12 4/3's)</li><li>Mohajira[17] (7-step intervals consist of 2 9/7's and 17 4/3's)</li></ul> | ||
===={9/7, 7/5}==== | ===={9/7, 7/5}==== | ||
<ul><li>Deutone[7] (3-step intervals consist of 4 7/5's and 3 9/7's)</li><li>Magic[13] (5-step intervals consist of 11 9/7's and 2 7/5's)</li></ul> | <ul><li>Deutone[7] (3-step intervals consist of 4 7/5's and 3 9/7's)</li><li>Magic[13] (5-step intervals consist of 11 9/7's and 2 7/5's)</li></ul> | ||
| Line 55: | Line 58: | ||
===={9/7, 3/2}==== | ===={9/7, 3/2}==== | ||
<ul><li>Magic[7] (3-step intervals consist of 5 9/7's and 2 3/2's)</li></ul> | <ul><li>Magic[7] (3-step intervals consist of 5 9/7's and 2 3/2's)</li></ul> | ||
=== 11-limit === | |||
==== {12/11, 9/8} ==== | |||
* Mohajira[7] (1-step intervals consist of 4 12/11's and 3 9/8s) | |||
==== {6/5, 11/9} ==== | |||
* Mohajira[7] (2-step intervals consist of 1 6/5 and 6 11/9's) | |||
==== {4/3, 11/8} ==== | |||
* Mohajira[7] (3-step intervals consist of 5 4/3's and 2 11/8's) | |||
* Orwell[9] (4-step intervals consist of 2 4/3's and 7 11/8's) | |||
=== 13-limit === | |||
==== {13/11, 13/10} ==== | |||
* Shoe[6] (2-step intervals consist of 2 13/11's and 4 13/10's) | |||
===3.5.7-subgroup=== | ===3.5.7-subgroup=== | ||
| Line 63: | Line 88: | ||
===={5/3, 9/5}==== | ===={5/3, 9/5}==== | ||
<ul><li>Sirius[6] (3-step intervals consist of 3 5/3's and 3 9/5's)</li></ul> | <ul><li>Sirius[6] (3-step intervals consist of 3 5/3's and 3 9/5's)</li></ul> | ||
==Rank-3 consonant class scales== | ==Rank-3 consonant class scales== | ||
| Line 76: | Line 100: | ||
<ul><li>Breed or Jove, 7 notes (3-step intervals consist of 2 5/4's, 1 4/3, and 4 7/5's)</li></ul> | <ul><li>Breed or Jove, 7 notes (3-step intervals consist of 2 5/4's, 1 4/3, and 4 7/5's)</li></ul> | ||
===={7/6, 6/5, 5/4}==== | ===={7/6, 6/5, 5/4}==== | ||
Portent; 4 5/4's 4 6/5's and 3 7/6's in the third class | * Portent; 4 5/4's 4 6/5's and 3 7/6's in the third class | ||
== Rank-4 consonant class scales == | |||
=== 5-limit === | |||
==== {6/5, 5/4, 4/3} ==== | |||
* 1-3-5-11 hexany, 6 notes (2-step intervals consist of 2 6/5's, 2 5/4's, and 2 4/3's) | |||
== External links == | |||
* http://tech.groups.yahoo.com/group/tuning-math/message/6056{{dead link}} | |||
* http://tech.groups.yahoo.com/group/tuning-math/message/6060 | |||
* http://tech.groups.yahoo.com/group/tuning-math/message/6062 | |||
* http://tech.groups.yahoo.com/group/tuning-math/message/6064 | |||
* http://tech.groups.yahoo.com/group/tuning-math/message/6065 | |||
* http://tech.groups.yahoo.com/group/tuning-math/message/6067 | |||
* http://tech.groups.yahoo.com/group/tuning-math/message/6068 | |||
* http://tech.groups.yahoo.com/group/tuning-math/message/6075 | |||
* http://tech.groups.yahoo.com/group/tuning-math/message/6082 | |||
* http://tech.groups.yahoo.com/group/tuning-math/message/6086 | |||
* http://tech.groups.yahoo.com/group/tuning-math/message/6088 | |||
* http://tech.groups.yahoo.com/group/tuning-math/message/6089 | |||
* http://tech.groups.yahoo.com/group/tuning-math/message/6090 | |||
* http://tech.groups.yahoo.com/group/tuning-math/message/6092 | |||
* http://tech.groups.yahoo.com/group/tuning-math/message/6094 | |||
* http://tech.groups.yahoo.com/group/tuning-math/message/6097 | |||
* http://tech.groups.yahoo.com/group/tuning-math/message/6100 | |||
* http://tech.groups.yahoo.com/group/tuning-math/message/6102 | |||
* http://tech.groups.yahoo.com/group/tuning-math/message/6103 | |||
* http://tech.groups.yahoo.com/group/tuning-math/message/6104 | |||
* http://tech.groups.yahoo.com/group/tuning-math/message/6169 | |||
* http://tech.groups.yahoo.com/group/tuning-math/message/15082 | |||
* http://tech.groups.yahoo.com/group/tuning-math/message/15102 | |||
* http://tech.groups.yahoo.com/group/tuning-math/message/15103 | |||
* http://tech.groups.yahoo.com/group/tuning-math/message/15123 | |||
* http://tech.groups.yahoo.com/group/tuning-math/message/15483 | |||
* http://tech.groups.yahoo.com/group/tuning-math/message/15501 | |||
* http://tech.groups.yahoo.com/group/tuning-math/message/19390 | |||
* http://tech.groups.yahoo.com/group/tuning-math/message/19410 | |||
* http://launch.groups.yahoo.com/group/tuning/message/41360 | |||
[ | [[Category:Scale]] | ||