User:Moremajorthanmajor/7L 4s (11/4-equivalent): Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older edit
VisualWikitext
m FloraC moved page 7L 4s (diminished twelfth equivalent) to 7L 4s (11/4-equivalent): Confusing title
ArrowHead294 (talk | contribs)
14,512 edits
No edit summary
 
(18 intermediate revisions by 3 users not shown)
Line 1: Line 1:
{{Infobox MOS
{{Infobox MOS
|Periods=1|nLargeSteps=7|nSmallSteps=4|Equalized=3|Paucitonic=2|Pattern=LLsLLsLLsLs|Equave=11/4}}'''7L 4s<11\4>''' has a generator of a narrow wolf to perfect fourth of 477.632 (3/11ed11\4) to 500.377 (2/7ed11\4) cents. Insofar as it may be said to be a Reformed mode, it is an authentic Locrian mode.
|Tuning=7L 4s<11/4>}}{{MOS intro|Scale Signature=7L 4s<11/4>}}Insofar as it may be said to be a Reformed mode, it is an authentic Locrian mode.
==Scale tree==
==Scale tree==
{| class="wikitable center-all"
{{MOS tuning spectrum|Scale Signature=7L 4s<11/4>}}
! colspan="7" rowspan="2" |Generator
! colspan="2" |Cents<ref name=":0">13ths in dozenal, 17ths in hex</ref>
! colspan="2" |''ed3\2<ref name=":0" />''
! rowspan="2" |L
! rowspan="2" |s
! rowspan="2" |L/s
! rowspan="2" |Comments
|-
!g
!3L
!g
!3L
|-
|3\11|| || || || ||
| ||514.286
|685.714
|490.{{Overline|90}}
|654.{{Overline|54}}||1||1||1.000||
|-
| || || || || ||17\62
| ||510
|540
|493.548
|522.581||6||5||1.200||
|-
| || || || ||14\51||
| ||509.{{Overline|09}}
|545.{{Overline|45}}
|494.{{Overline|1E}}
|529.{{Overline|87}}||5||4||1.250||
|-
| || || || || ||25\91
| ||508.475
|549.1545
|494.5055
|534.066||9||7||1.286||
|-
| || || ||11\40|| ||
| ||507.{{Overline|83}}
|553.{{Overline|X1}}
|495
|540||4||3||1.333||
|-
| || || || || ||30\109
| ||507.042
|557.7465
|495.413
|544.954||11||8||1.375||
|-
| || || || ||19\69||
| ||506.{{Overline|6}}
|560
|495.652
|547.826||7||5||1.400||
|-
| || || || || ||27\98
| ||506.25
|562.5
|495.918
|551.02||10||7||1.428||
|-
| || ||8\29|| || ||
| ||505.263
|568.421
|496.552
|558.621||3||2||1.500||L/s = 3/2
|-
| || || || || ||29\105
| ||504.348
|573.913
|497.143
|565.714||11||7||1.571||
|-
| || || || ||21\76||
| ||504
|576
|497.368
|568.421||8||5||1.600||
|-
| || || || || ||34\123
| ||503.{{Overline|703}}
|577.{{Overline|7}}
|497.561
|570.732||13||8||1.625||Unnamed golden tuning
|-
| || || ||13\47|| ||
| ||503.226
|580.645
|497.823
|574.468||5||3||1.667||
|-
| || || || || ||31\112
| ||502.{{Overline|702}}
|583.{{Overline|783}}
|498.214
|578.571||12||7||1.714||
|-
| || || || ||18\65||
| ||502.326
|586.0465
|498.{{Overline|56}}
|581.{{Overline|65}}||7||4||1.750||
|-
| || || || || ||23\83
| ||501.{{Overline|81}}
|589.{{Overline|09}}
|498.795
|585.542||9||5||1.800||
|-
|
|
|
|
|
|
|28\101
|501.4925
|591.045
|499.01
|588.118
|11
|6
|1.833
|
|-
| ||5\18|| || || ||
| ||500
|600
|500
|600||2||1||2.000||
|-
|
|
|
|
|
|
|27\97
|498.{{Overline|56}}
|609.{{Overline|29}}
|501.031
|612.371
|11
|5
|2.200
|
|-
| || || || || ||22\79
| ||498.116
|611.321
|501.265
|615.19||9||4||2.250||
|-
| || || || ||17\61||
| ||497.561
|614.634
|501.639
|619.672||7||3||2.333||
|-
| || || || || ||29\104
| ||497.143
|617.143
|501.{{Overline|E0}}
|623.{{Overline|0E}}||12||5||2.400||
|-
| || || ||12\43|| ||
| ||496.552
|620.69
|502.326
|627.907||5||2||2.500||
|-
| || || || || ||31\111
| ||496
|624
|502.{{Overline|702}}
|632.{{Overline|432}}||13||5||2.600||Unnamed golden tuning
|-
| || || || ||19\68||
| ||495.652
|626.087
|502.{{Overline|F0}}
|635.{{Overline|4B}}||8||3||2.667||
|-
| || || || || ||26\93
| ||495.238
|628.571
|503.226
|638.71||11||4||2.750||
|-
| || ||7\25|| || ||
| ||494.{{Overline|1E}}
|635.{{Overline|4B}}
|504
|648||3||1||3.000||L/s = 3/1
|-
|
|
|
|
|
|
|30\107
|493.151
|641.096
|504.672
|656.075
|13
|4
|3.250
|
|-
| || || || || ||23\82
| ||492.857
|642.857
|504.878
|658.537||10||3||3.333||
|-
| || || || ||16\57||
| ||492.{{Overline|38}}
|646.{{Overline|1X}}
|505.263
|663.158||7||2||3.500||
|-
| || || || || ||25\89
| ||491.803
|649.18
|505.618
|667.416||11||3||3.667||
|-
| || || ||9\32|| ||
| ||490.{{Overline|90}}
|654.{{Overline|54}}
|506.25
|675||4||1||4.000||
|-
| || || || || ||20\71
| ||489.796
|661.2245
|507.042
|684.507||9||2||4.500||
|-
| || || || ||11\39||
| ||488.{{Overline|8}}
|666.{{Overline|6}}
|507.{{Overline|83}}
|692.{{Overline|38}}||5||1||5.000||
|-
| || || || || ||13\46
| ||487.5
|675
|508.696
|704.348||6||1||6.000||
|-
|2\7|| || || || ||
| ||480
|720
|720
|1080||1||0||→ inf
|}

Latest revision as of 16:47, 3 March 2025

↖ 6L 3s⟨11/4⟩ ↑ 7L 3s⟨11/4⟩ 8L 3s⟨11/4⟩ ↗
← 6L 4s⟨11/4⟩ 7L 4s (11/4-equivalent) 8L 4s⟨11/4⟩ →
↙ 6L 5s⟨11/4⟩ ↓ 7L 5s⟨11/4⟩ 8L 5s⟨11/4⟩ ↘ 
┌╥╥┬╥╥┬╥╥┬╥┬┐
│║║│║║│║║│║││
│││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLsLLsLLsLs
sLsLLsLLsLL
Equave 11/4 (1751.3 ¢)
Period 11/4 (1751.3 ¢)
Generator size(ed11/4)
Bright 3\11 to 2\7 (477.6 ¢ to 500.4 ¢)
Dark 5\7 to 8\11 (1250.9 ¢ to 1273.7 ¢)
Related MOS scales
Parent 4L 3s⟨11/4⟩
Sister 4L 7s⟨11/4⟩
Daughters 11L 7s⟨11/4⟩, 7L 11s⟨11/4⟩
Neutralized 3L 8s⟨11/4⟩
2-Flought 18L 4s⟨11/4⟩, 7L 15s⟨11/4⟩
Equal tunings(ed11/4)
Equalized (L:s = 1:1) 3\11 (477.6 ¢)
Supersoft (L:s = 4:3) 11\40 (481.6 ¢)
Soft (L:s = 3:2) 8\29 (483.1 ¢)
Semisoft (L:s = 5:3) 13\47 (484.4 ¢)
Basic (L:s = 2:1) 5\18 (486.5 ¢)
Semihard (L:s = 5:2) 12\43 (488.7 ¢)
Hard (L:s = 3:1) 7\25 (490.4 ¢)
Superhard (L:s = 4:1) 9\32 (492.6 ¢)
Collapsed (L:s = 1:0) 2\7 (500.4 ¢)

7L 4s⟨11/4⟩ is a 11/4-equivalent (non-octave) moment of symmetry scale containing 7 large steps and 4 small steps, repeating every interval of 11/4 (1751.3 ¢). Generators that produce this scale range from 477.6 ¢ to 500.4 ¢, or from 1250.9 ¢ to 1273.7 ¢.Insofar as it may be said to be a Reformed mode, it is an authentic Locrian mode.

Scale tree

Scale tree and tuning spectrum of 7L 4s⟨11/4⟩
Generator(ed11/4) Cents Step ratio Comments
Bright Dark L:s Hardness
3\11 477.632 1273.686 1:1 1.000 Equalized 7L 4s⟨11/4⟩
17\62 480.200 1271.118 6:5 1.200
14\51 480.754 1270.564 5:4 1.250
25\91 481.131 1270.187 9:7 1.286
11\40 481.612 1269.706 4:3 1.333 Supersoft 7L 4s⟨11/4⟩
30\109 482.014 1269.304 11:8 1.375
19\69 482.247 1269.071 7:5 1.400
27\98 482.506 1268.812 10:7 1.429
8\29 483.122 1268.196 3:2 1.500 Soft 7L 4s⟨11/4⟩
29\105 483.697 1267.621 11:7 1.571
21\76 483.917 1267.401 8:5 1.600
34\123 484.104 1267.214 13:8 1.625
13\47 484.407 1266.911 5:3 1.667 Semisoft 7L 4s⟨11/4⟩
31\112 484.740 1266.578 12:7 1.714
18\65 484.980 1266.338 7:4 1.750
23\83 485.305 1266.013 9:5 1.800
5\18 486.477 1264.841 2:1 2.000 Basic 7L 4s⟨11/4⟩
Scales with tunings softer than this are proper
22\79 487.709 1263.609 9:4 2.250
17\61 488.072 1263.246 7:3 2.333
29\104 488.348 1262.970 12:5 2.400
12\43 488.740 1262.578 5:2 2.500 Semihard 7L 4s⟨11/4⟩
31\111 489.107 1262.211 13:5 2.600
19\68 489.339 1261.979 8:3 2.667
26\93 489.616 1261.702 11:4 2.750
7\25 490.369 1260.949 3:1 3.000 Hard 7L 4s⟨11/4⟩
23\82 491.223 1260.095 10:3 3.333
16\57 491.598 1259.720 7:2 3.500
25\89 491.943 1259.375 11:3 3.667
9\32 492.558 1258.760 4:1 4.000 Superhard 7L 4s⟨11/4⟩
20\71 493.329 1257.989 9:2 4.500
11\39 493.961 1257.356 5:1 5.000
13\46 494.938 1256.380 6:1 6.000
2\7 500.377 1250.941 1:0 → ∞ Collapsed 7L 4s⟨11/4⟩
Retrieved from "https://en.xen.wiki/index.php?title=User:Moremajorthanmajor/7L_4s_(11/4-equivalent)&oldid=184202"