14L 3s: Difference between revisions

Wikispaces>FREEZE
No edit summary
ArrowHead294 (talk | contribs)
mNo edit summary
 
(7 intermediate revisions by 4 users not shown)
Line 1: Line 1:
This MOS consists of three small steps separated by intervals of 5L-5L-4L. The temperament it belongs to is called Squares because because the number of generators it takes to get to each of the primes 3, 5 and 7 is a square (3=-4 generators, 5=-16, 7=-9). This puts the generator between 6/17edo (423.529) and 5/14edo (428.<span style="line-height: 17.7273px;">571</span><span style="line-height: 1.5;"> cents).</span>
{{Infobox MOS
| Other names =
| Periods = 1
| nLargeSteps = 14
| nSmallSteps = 3
| Equalized = 6
| Collapsed = 5
| Pattern = LLLLLsLLLLLsLLLLs
}}
{{MOS intro}}


{| class="wikitable"
This scale is associated with [[squares]] temperament because the number of [[generator]]s it takes to get to each of the [[prime]]s 3, 5, and 7 is a square ({{nowrap|3 ← −4 generators|5 ← −16|7 ← −9}}).
|-
 
| | 5/14
== Scale properties ==
| |
{{TAMNAMS use}}
| |
 
| |
=== Intervals ===
| |
{{MOS intervals}}
| | 428.571
 
|-
=== Generator chain ===
| |
{{MOS genchain}}
| |
 
| |
=== Modes ===
| |
{{MOS mode degrees}}
| | 26/73
 
| | 427.397
== Scale tree ==
|-
{{MOS tuning spectrum}}
| |
 
| |
{{todo|expand}}
| |
 
| | 21/59
[[Category:17-tone scales]]
| |
| | 427.119
|-
| |
| |
| |
| |
| | 37/104
| | 426.923
|-
| |
| |
| |
| |
| |
| | 426.747
|-
| |
| |
| | 16/45
| |
| |
| | 426.667
|-
| |
| |
| |
| |
| |
| | 426.484
|-
| |
| |
| |
| |
| | 43/121
| | 426.446
|-
| |
| |
| |
| |
| |
| | 426.41
|-
| |
| |
| |
| | 27/76
| |
| | 426.316
|-
| |
| |
| |
| |
| | 38/107
| | 426.168
|-
| |
| | 11/31
| |
| |
| |
| | 425.806
|-
| |
| |
| |
| |
| | 39/110
| | 425.4545
|-
| |
| |
| |
| |
| |
| | 425.426
|-
| |
| |
| |
| | 28/79
| |
| | 425.3165
|-
| |
| |
| |
| |
| |
| | 425.23
|-
| |
| |
| |
| |
| | 45/127
| | 425.197
|-
| |
| |
| |
| |
| |
| | 425.142
|-
| |
| |
| | 17/48
| |
| |
| | 425
|-
| |
| |
| |
| |
| | 40/113
| | 424.779
|-
| |
| |
| |
| | 23/65
| |
| | 424.615
|-
| |
| |
| |
| |
| | 29/82
| | 424.39
|-
| | 6/17
| |
| |
| |
| |
| | 423.529
|}