6L 19s: Difference between revisions

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This is the MOS where the large steps divide the small steps into groups of 3-3-3-3-3-4. It is generated by a "neutral" whole tone of no less than 4/25edo (192 cents), laying estimates of the boundary of "practicality" between 37edo (minimum) and 43edo (maximum).
{{infobox MOS}}{{MOS intro}}


{| class="wikitable"
This is the MOS where the large steps divide the small steps into groups of 3-3-3-3-3-4. It is generated by a "neutral" whole tone of no less than [[25edo|4\25]] (192{{c}}), which is most commonly taken to represent [[28/25]] and [[19/17]]; interpreting it as [[Didacus]][25], 2 generators reach [[5/4]] and 5 generators reach [[7/4]]. Various extensions of didacus exist to find the 3rd harmonic within the MOS, most prominently [[hemithirds]] (-15 generators) and [[hemiwürschmidt]] (+16).
|-
 
| | 1/6
== Scale properties ==
| |
{{TAMNAMS use}}
| |
 
| |
=== Intervals ===
| |
{{MOS intervals}}
| | 200
 
|-
=== Generator chain ===
| |
{{MOS genchain}}
| |
 
| |
=== Modes ===
| |
{{MOS mode degrees}}
| | 8/49
 
| | 195.918
== Scale tree ==
|-
{{MOS tuning spectrum
| |
| 7/4 = [[Hemithirds]]/[[luna]]
| |
| 7/3 = [[Hemiwürschmidt]]
| |
| 8/3 = [[Roulette]]
| | 7/43
| 10/3 = [[Mediantone]]
| |
}}
| | 195.349
 
|-
{{todo|expand}}
| |
| |
| |
| |
| | 13/80
| | 195
|-
| |
| |
| |
| |
| |
| | 194.716
|-
| |
| |
| | 6/37
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| | 194.596
|-
| |
| |
| |
| |
| |
| | 194.336
|-
| |
| |
| |
| |
| | 17/105
| | 194.286
|-
| |
| |
| |
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| | 194.238
|-
| |
| |
| |
| | 11/68
| |
| | 194.118
|-
| |
| |
| |
| |
| | 16/99
| | 193.939
|-
| |
| | 5/31
| |
| |
| |
| | 193.548
|-
| |
| |
| |
| |
| | 19/118
| | 193.22
|-
| |
| |
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| | 193.1955
|-
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| | 14/87
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| | 193.103
|-
| |
| |
| |
| |
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| | 193.033
|-
| |
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| | 23/143
| | 193.007
|-
| |
| |
| |
| |
| |
| | 192.964
|-
| |
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| | 9/56
| |
| |
| | 192.857
|-
| |
| |
| |
| |
| | 22/137
| | 192.701
|-
| |
| |
| |
| | 13/81
| |
| | 192.593
|-
| |
| |
| |
| |
| | 17/106
| | 192.453
|-
| | 4/25
| |
| |
| |
| |
| | 192
|}
[[Category:Abstract MOS patterns]]
[[Category:Abstract MOS patterns]]