1L 7s: Difference between revisions

Nick Vuci (talk | contribs)
Modes: added MOS mode degrees template
ArrowHead294 (talk | contribs)
m Update link, scale tree [MOS tuning spectrum] template, and comments
 
(3 intermediate revisions by 3 users not shown)
Line 9: Line 9:


{{MOS intro}}
{{MOS intro}}
This MOS pattern is somewhat of a wasteland as far as low-harmonic-entropy scales are concerned. However, there is one interesting no-5's scale, [[Chromatic_pairs #Bleu|bleu]]. In this scale, 5 steps make a 3/2, and the chord 11:12:13:14 is represented as three equal steps.
This MOS pattern is somewhat of a wasteland as far as low-harmonic-entropy scales are concerned. However, there is one interesting no-5's scale, [[No-fives subgroup temperaments #Bleu|bleu]]. In this scale, 5 steps make a 3/2, and the chord 11:12:13:14 is represented as three equal steps.


== Modes ==
== Name ==
{{TAMNAMS name}}
 
== Scale properties ==
 
=== Intervals ===
{{MOS intervals}}
 
=== Generator chain ===
{{MOS genchain}}
 
=== Modes ===
{{MOS mode degrees}}
{{MOS mode degrees}}


== Scale tree ==
== Scale tree ==
Generator ranges:
Generator ranges:
* Chroma-positive generator: 1050 cents (7\8) to 1200 cents (1\1)
* Chroma-positive generator: 1050{{c}} (7\8) to 1200{{c}} (1\1)
* Chroma-negative generator: 0 cents (0\1) to 150 cents (1\8)
* Chroma-negative generator: 0{{c}} (0\1) to 150{{c}} (1\8)


{| class="wikitable center-all"
{{MOS tuning spectrum
! colspan="6" | Small step <br><span style="font-size:0.85em">(chroma-negative generator)</span>
| 6/5 = [[Bohpier]]
! Cents
| 11/7 = [[Bleu]]
! L
| 8/5 = [[Jerome]]/bleu
! s
| 13/8 = Golden jerome (139.2429{{c}})
! L/s
| 9/5 = [[Twothirdtonic]]
! Comments
| 5/2 = [[Negri]]
|-
| 13/5 = Golden negri (124.7656{{c}})
| 1\8 || || || || || || 150.000 || 1 || 1 || 1.000 ||
| 10/3 = [[Miracle]]
|-
| 5/1 = [[Passion]], [[ripple]]
| || || || || || 5\41 || 146.341 || 6 || 5 || 1.200 || [[Bohpier]]
}}
|-
| || || || || 4\33 || || 145.455 || 5 || 4 || 1.250 ||
|-
| || || || || || 7\58 || 144.828 || 9 || 7 || 1.286 ||
|-
| || || || 3\25 || || || 144.000 || 4 || 3 || 1.333 ||
|-
| || || || || || 8\67 || 143.284 || 11 || 8 || 1.375 ||
|-
| || || || || 5\42 || || 142.857 || 7 || 5 || 1.400 ||
|-
| || || || || || 7\59 || 142.373 || 10 || 7 || 1.429 ||
|-
| || || 2\17 || || || || 141.176 || 3 || 2 || 1.500 ||
|-
| || || || || || 7\60 || 140.000 || 11 || 7 || 1.571 || [[Bleu]]
|-
| || || || || 5\43 || || 139.535 || 8 || 5 || 1.600 || [[Jerome]]/bleu
|-
| || || || || || 8\69 || 139.130 || 13 || 8 || 1.625 || Golden jerome (139.2429¢)
|-
| || || || 3\26 || || || 138.462 || 5 || 3 || 1.667 ||
|-
| || || || || || 7\61 || 137.705 || 12 || 7 || 1.714 ||
|-
| || || || || 4\35 || || 137.143 || 7 || 4 || 1.750 ||
|-
| || || || || || 5\44 || 136.364 || 9 || 5 || 1.800 || [[Twothirdtonic]]
|-
| || 1\9 || || || || || 133.333 || 2 || 1 || 2.000 || Basic 1L 7s <br>(small steps larger than this are proper)
|-
| || || || || || 4\37 || 129.730 || 9 || 4 || 2.250 ||
|-
| || || || || 3\28 || || 128.571 || 7 || 3 || 2.333 ||
|-
| || || || || || 5\47 || 127.660 || 12 || 5 || 2.400 ||
|-
| || || || 2\19 || || || 126.316 || 5 || 2 || 2.500 || [[Negri]]
|-
| || || || || || 5\48 || 125.000 || 13 || 5 || 2.600 || Golden negri (124.7656¢)
|-
| || || || || 3\29 || || 124.138 || 8 || 3 || 2.667 ||
|-
| || || || || || 4\39 || 123.077 || 11 || 4 || 2.750 ||
|-
| || || 1\10 || || || || 120.000 || 3 || 1 || 3.000 ||
|-
| || || || || || 3\31 || 116.129 || 10 || 3 || 3.333 || [[Miracle]]
|-
| || || || || 2\21 || || 114.286 || 7 || 2 || 3.500 ||
|-
| || || || || || 3\32 || 112.500 || 11 || 3 || 3.667 ||
|-
| || || || 1\11 || || || 109.091 || 4 || 1 || 4.000 ||
|-
| || || || || || 2\23 || 104.348 || 9 || 2 || 4.500 ||
|-
| || || || || 1\12 || || 100.000 || 5 || 1 || 5.000 || [[Passion]], [[ripple]]
|-
| || || || || || 1\13 || 92.308 || 6 || 1 || 6.000 ||
|-
| 0\1 || || || || || || 0.000 || 1 || 0 || → inf ||
|}


== Trivia ==
== Trivia ==
This scale is a leap year pattern of the tabular Iranian calendar, where the leap year is inserted 7 times once in 4 years, with 1 gap of 5 years. Curiously enough, one short step of this scale is close to the one step of [[Bohlen-Pierce]].
This scale is a leap year pattern of the tabular Iranian calendar, where the leap year is inserted 7 times once in 4 years, with 1 gap of 5 years. Curiously enough, one short step of this scale is close to the one step of the [[Bohlen–Pierce scale]].
 
[[Category:8-tone scales]]
[[Category:8-tone scales]]