2L 7s: Difference between revisions

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{{Infobox MOS
{{Infobox MOS
| Name = joanatonic
| Name = balzano
| Periods = 1
| Periods = 1
| nLargeSteps = 2
| nLargeSteps = 2
| nSmallSteps = 7
| nSmallSteps = 7
| Equalized = 4
| Equalized = 4
| Paucitonic = 1
| Collapsed = 1
| Pattern = LsssLssss
| Pattern = LsssLssss
}}
}}


'''2L 7s''' is a MOS pattern with generators ranging from 533.33 cents ([[9edo]]) to 600 cents ([[2edo]]).
{{MOS intro}}
 
== Names ==
== Names ==
This scale is called '''joanatonic''' in [[TAMNAMS]] nomenclature, after [[joan]] temperament.
This scale is called '''balzano''' in [[TAMNAMS]] nomenclature.


== Intervals ==
== Scale properties ==
Note: In TAMNAMS, a k-step interval class in joanatonic may be called a "k-step", "k-mosstep", or "k-jostep". 1-indexed terms such as "mos(k+1)th" are discouraged for non-diatonic mosses.
{{TAMNAMS use}}


== Modes ==
=== Intervals ===
* 8|0 LsssLssss
{{MOS intervals}}
* 7|1 LssssLsss
* 6|2 sLsssLsss
* 5|3 sLssssLss
* 4|4 ssLsssLss
* 3|5 ssLssssLs
* 2|6 sssLsssLs
* 1|7 sssLssssL
* 0|8 ssssLsssL


== Scale tree ==
=== Generator chain ===
Generator ranges:
{{MOS genchain}}
* Chroma-positive generator: 533.3333 cents (4\9) to 600 cents (1\2)
* Chroma-negative generator: 600 cents (1\2) to 666.6667 cents (5\9)


{| class="wikitable"
=== Modes ===
|-
{{MOS mode degrees}}
! colspan="5" | Generator
! | Generator
! | L
! | s
! | Comments
|-
| | 4\9
| |
| |
| |
| |
| | 533.33
| | 133.33
| | 133.33
| style="text-align:center;" |
|-
|
|
|
|
|17\39
|536.84
|157.895
|126.32
|
|-
|
|
|
|13\29
|
|537.93
|165.52
|124.14
|
|-
| |
| |
| | 9\20
| |
| |
| | 540
| | 180
| | 120
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| | 540.84
| | 185.86
| | 118.325
| |
|-
| |
| |
| |
| |
| | 23\51
| | 541.18
| | 188.235
| | 117.65
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| | 541.38
| | 189.69
| | 117.23
| |
|-
| |
| |
| |
| | 14\31
| |
| | 541.935
| | 193.55
| | 116.13
| style="text-align:center;" | Casablanca is around here.
|-
| |
| |
| |
| |
| |
| | 542.66
| | 198.63
| | 114.68
| |
|-
| |
| | 5\11
| |
| |
| |
| | 545.45
| | 218.18
| | 109.09
| style="text-align:center;" |
|-
| |
| |
| |
| | 11\24
| |
| | 550
| | 250
| | 100
| |
|-
| |
| |
| |
| |
| |
| | 550.965
| | 256.75
| | 98.07
| |
|-
| |
| |
| |
| |
| | 17\37
| | 551.35
| | 259.46
| | 97.3
| |
|-
| |
| |
| |
| |
| |
| | 551.755
| | 262.29
| | 96.49
| style="text-align:center;" | <span style="display: block; text-align: center;">L/s = e</span>
|-
| |
| |
| | 6\13
| |
| |
| | 553.85
| | 276.92
| | 92.31
| style="text-align:center;" | L/s = 3
|-
| |
| |
| |
| |
| |
| | 554.83
| | 283.81
| | 90.34
| style="text-align:center;" | <span style="display: block; text-align: center;">L/s = pi</span>
|-
| |
| |
| |
| |
| | 13\28
| | 557.14
| | 300
| | 85.14
| style="text-align:center;" | Thuja is around here.
|-
| |
| |
| |
| | 7\15
| |
| | 560
| | 320
| | 80
| style="text-align:center;" | L/s = 4
|-
|
|
|
|
|8\17
|564.71
|352.94
|70.59
|
|-
| | 1\2
| |
| |
| |
| |
| | 600
| | 600
| | 0
| style="text-align:center;" |
|}


Around L = 300¢ and s = 85¢, thuja appears, which is a complex temperament whose generator represents 11/8.
== Scale tree ==
{{MOS tuning spectrum
| 11/3 = [[Thuja]]
| 5/3 = [[Casablanca]]
}}


[[Category:9-tone scales]]
[[Category:9-tone scales]]
[[Category:Joanatonic| ]]
[[Category:Balzano| ]]