3L 5s: Difference between revisions
m →Parasoft tunings: enter subgroup into template |
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{{MOS intro|Other Names=anti-oneirotonic}} | {{MOS intro|Other Names=anti-oneirotonic}} | ||
== Name== | == Name == | ||
[[TAMNAMS]] suggests the temperament-agnostic name '''checkertonic''' for this scale. | [[TAMNAMS]] suggests the temperament-agnostic name '''checkertonic''' for this scale. | ||
==Intervals== | == Intervals == | ||
{{TAMNAMS use}} | {{TAMNAMS use}} | ||
{{MOS intervals}} | {{MOS intervals}} | ||
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* [[Meantone family #Squares|Squares]], in which the generator is also a 9/7, but two of them make an 18/11 and four of them make a 4/3, which is improper. | * [[Meantone family #Squares|Squares]], in which the generator is also a 9/7, but two of them make an 18/11 and four of them make a 4/3, which is improper. | ||
==Tuning ranges== | == Tuning ranges == | ||
===Simple tunings=== | === Simple tunings === | ||
{{MOS tunings}} | {{MOS tunings}} | ||
===Parasoft tunings=== | === Parasoft tunings === | ||
Parasoft tunings (step ratios 4:3 to 3:2) are associated with [[sensi]] tempermament. | Parasoft tunings (step ratios 4:3 to 3:2) are associated with [[sensi]] tempermament. | ||
{{MOS tunings|Step Ratios=Parasoft|JI Ratios=Subgroup: 2.3.5.7.13; Int Limit: 50; Tenney Height: 8; Complements Only: 1|Tolerance=10}} | {{MOS tunings|Step Ratios=Parasoft|JI Ratios=Subgroup: 2.3.5.7.13; Int Limit: 50; Tenney Height: 8; Complements Only: 1|Tolerance=10}} | ||
==Modes== | == Modes == | ||
{{MOS mode degrees}} | {{MOS mode degrees}} | ||
===Proposed Names=== | |||
=== Proposed Names === | |||
The modes of checkertonic can be named after its sister MOS [[5L 3s]] (oneirotonic). [[User:R-4981|R-4981]] has also proposed names based on [[wikipedia:Grand_Chess|grand chess]] pieces. | The modes of checkertonic can be named after its sister MOS [[5L 3s]] (oneirotonic). [[User:R-4981|R-4981]] has also proposed names based on [[wikipedia:Grand_Chess|grand chess]] pieces. | ||
{{MOS modes|Table Headers=Anti-modes of 5L 3s;Grand chess names<sup>[proposed]</sup>|Table Entries=Anti-Sarnathian (sar-NA(H)TH-iən); | {{MOS modes|Table Headers=Anti-modes of 5L 3s;Grand chess names<sup>[proposed]</sup>|Table Entries=Anti-Sarnathian (sar-NA(H)TH-iən); | ||
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{| class="wikitable" | {| class="wikitable" | ||
|+ style="font-size: 105%;" | Scale degrees (on J, {{nowrap|sLssLsLs {{=}} JKLMNOPQ}}) | |||
|- | |- | ||
! [[UDP]] | |||
! Anti-modes of 5L 3s | |||
![[UDP]] | ! Chess-based names | ||
!Anti-modes of 5L 3s | ! Step pattern | ||
!Chess-based names | |||
!Step pattern | |||
! 1 | ! 1 | ||
!2 | ! 2 | ||
!3 | ! 3 | ||
! 4 | ! 4 | ||
!5 | ! 5 | ||
!6 | ! 6 | ||
!7 | ! 7 | ||
!8 | ! 8 | ||
!(9) | ! (9) | ||
|- | |- | ||
|<nowiki>7|0</nowiki> | | <nowiki>7|0</nowiki> | ||
|Anti-Sarnathian | | Anti-Sarnathian | ||
|King | | King | ||
|LsLssLss | | LsLssLss | ||
| J | | J | ||
|K& | | K& | ||
|L | | L | ||
|M& | | M& | ||
|N& | | N& | ||
|O | | O | ||
|P& | | P& | ||
|Q | | Q | ||
|(J) | | (J) | ||
|- | |- | ||
|<nowiki>6|1</nowiki> | | <nowiki>6|1</nowiki> | ||
|Anti-Hlanithian | | Anti-Hlanithian | ||
|Queen | | Queen | ||
|LssLsLss | | LssLsLss | ||
|J | | J | ||
|K& | | K& | ||
| L | | L | ||
| M | | M | ||
| N& | | N& | ||
|O | | O | ||
|P& | | P& | ||
|Q | | Q | ||
|(J) | | (J) | ||
|- | |- | ||
|<nowiki>5|2</nowiki> | | <nowiki>5|2</nowiki> | ||
|Anti-Kadathian | | Anti-Kadathian | ||
|Marshall | | Marshall | ||
|LssLssLs | | LssLssLs | ||
|J | | J | ||
| K& | | K& | ||
|L | | L | ||
|M | | M | ||
|N& | | N& | ||
|O | | O | ||
|P | | P | ||
|Q | | Q | ||
|(J) | | (J) | ||
|- | |- | ||
|<nowiki>4|3</nowiki> | | <nowiki>4|3</nowiki> | ||
|Anti-Mnarian | | Anti-Mnarian | ||
|Cardinal | | Cardinal | ||
|sLsLssLs | | sLsLssLs | ||
|J | | J | ||
|K | | K | ||
|L | | L | ||
|M | | M | ||
|N& | | N& | ||
|O | | O | ||
|P | | P | ||
|Q | | Q | ||
|(J) | | (J) | ||
|- | |- | ||
|<nowiki>3|4</nowiki> | | <nowiki>3|4</nowiki> | ||
| Anti-Ultharian | | Anti-Ultharian | ||
|Rook | | Rook | ||
|sLssLsLs | | sLssLsLs | ||
|J | | J | ||
|K | | K | ||
|L | | L | ||
|M | | M | ||
| N | | N | ||
|O | | O | ||
|P | | P | ||
|Q | | Q | ||
|(J) | | (J) | ||
|- | |- | ||
|<nowiki>2|5</nowiki> | | <nowiki>2|5</nowiki> | ||
|Anti-Celephaïsian | | Anti-Celephaïsian | ||
|Bishop | | Bishop | ||
|sLssLssL | | sLssLssL | ||
|J | | J | ||
|K | | K | ||
|L | | L | ||
|M | | M | ||
|N | | N | ||
| O | | O | ||
|P | | P | ||
|Q@ | | Q@ | ||
|(J) | | (J) | ||
|- | |- | ||
|<nowiki>1|6</nowiki> | | <nowiki>1|6</nowiki> | ||
|Anti-Illarnekian | | Anti-Illarnekian | ||
|Knight | | Knight | ||
|ssLsLssL | | ssLsLssL | ||
|J | | J | ||
|K | | K | ||
|L@ | | L@ | ||
|M | | M | ||
|N | | N | ||
|O | | O | ||
|P | | P | ||
|Q@ | | Q@ | ||
|(J) | | (J) | ||
|- | |- | ||
|<nowiki>0|7</nowiki> | | <nowiki>0|7</nowiki> | ||
|Anti-Dylathian | | Anti-Dylathian | ||
|Pawn | | Pawn | ||
|ssLssLsL | | ssLssLsL | ||
|J | | J | ||
|K | | K | ||
|L@ | | L@ | ||
|M | | M | ||
|N | | N | ||
|O@ | | O@ | ||
|P | | P | ||
|Q@ | | Q@ | ||
|(J) | | (J) | ||
|} | |} | ||
==Temperaments== | == Temperaments == | ||
The major temperaments in this area are: | The major temperaments in this area are: | ||
*[[Sensi]] (Parasoft checkertonic) | * [[Sensi]] (Parasoft checkertonic) | ||
*[[Squares]] (Parahard checkertonic) | * [[Squares]] (Parahard checkertonic) | ||
== Music == | == Music == | ||
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[[Category:8-tone scales]] | [[Category:8-tone scales]] | ||
[[Category: | [[Category:Checkertonic]] | ||