User:Ganaram inukshuk/4L 3s: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
Ganaram inukshuk (talk | contribs)
autopatrolled, emailconfirmed
4,810 edits
Testing out module
Ganaram inukshuk (talk | contribs)
autopatrolled, emailconfirmed
4,810 edits
No edit summary
Line 23: Line 23:
== Tunings ==
== Tunings ==
=== Simple tunings ===
=== Simple tunings ===
5L 2s for testing{{MOS degrees|Scale Signature=5L 2s|Step Ratio=2/1}}
Actual 4L 3s tunings


{{MOS degrees|Scale Signature=4L 3s|Step Ratio=3/1}}{{MOS degrees|Scale Signature=4L 3s|Step Ratio=3/1}}{{MOS degrees|Scale Signature=4L 3s|Step Ratio=5/4}}
{{MOS degrees|Scale Signature=4L 3s|Step Ratio=2/1}}{{MOS degrees|Scale Signature=4L 3s|Step Ratio=3/1}}{{MOS degrees|Scale Signature=4L 3s|Step Ratio=3/2}}
{| class="wikitable sortable"
{| class="wikitable sortable"
|+Proposed table output for MOS degrees template
|+Proposed table output for MOS degrees template
! rowspan="2" |Degree
! rowspan="2" |Degree
! rowspan="2" |Note name on J
! colspan="2" |2/1 step ratio (11edo)
! colspan="2" |2/1 step ratio (11edo)
! colspan="2" |3/1 step ratio (15edo)
! colspan="2" |3/1 step ratio (15edo)
! colspan="2" |3/2 step ratio (18edo)
! colspan="2" |3/2 step ratio (18edo)
! rowspan="2" |Note name on J
|-
|-
!Steps
!Steps
Line 43: Line 41:
|-
|-
|Perf. unison
|Perf. unison
|J
|0
|0
|0¢
|0¢
Line 49: Line 48:
|0
|0
|0¢
|0¢
|J
|-
|-
|Aug. unison
|Aug. unison
|J&
|1
|1
|109.1¢
|109.1¢
Line 58: Line 57:
|1
|1
|66.7¢
|66.7¢
|J&
|-
|-
|Min. 1-smidegree
|Min. 1-smidegree
|K@
|1
|1
|109.1¢
|109.1¢
Line 67: Line 66:
|2
|2
|133.3¢
|133.3¢
|K@
|-
|-
|. . .
|. . .
Line 79: Line 77:
|-
|-
|Dim. octave
|Dim. octave
|J@
|10
|10
|1090.9¢
|1090.9¢
Line 85: Line 84:
|17
|17
|1133.3¢
|1133.3¢
|J@
|-
|-
|Perf. octave
|Perf. octave
|J
|11
|11
|1200¢
|1200¢
Line 94: Line 93:
|18
|18
|1200¢
|1200¢
|J
|}
|}


Revision as of 22:24, 22 June 2023

↖ 3L 2s ↑ 4L 2s 5L 2s ↗
← 3L 3s 4L 3s 5L 3s →
↙ 3L 4s ↓ 4L 4s 5L 4s ↘ 
┌╥╥┬╥┬╥┬┐
│║║│║│║││
│││││││││
└┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLsLsLs
sLsLsLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 5\7 to 3\4 (857.1 ¢ to 900.0 ¢)
Dark 1\4 to 2\7 (300.0 ¢ to 342.9 ¢)
TAMNAMS information
Name smitonic
Prefix smi-
Abbrev. smi
Related MOS scales
Parent 3L 1s
Sister 3L 4s
Daughters 7L 4s, 4L 7s
Neutralized 1L 6s
2-Flought 11L 3s, 4L 10s
Equal tunings
Equalized (L:s = 1:1) 5\7 (857.1 ¢)
Supersoft (L:s = 4:3) 18\25 (864.0 ¢)
Soft (L:s = 3:2) 13\18 (866.7 ¢)
Semisoft (L:s = 5:3) 21\29 (869.0 ¢)
Basic (L:s = 2:1) 8\11 (872.7 ¢)
Semihard (L:s = 5:2) 19\26 (876.9 ¢)
Hard (L:s = 3:1) 11\15 (880.0 ¢)
Superhard (L:s = 4:1) 14\19 (884.2 ¢)
Collapsed (L:s = 1:0) 3\4 (900.0 ¢)
This is a test page. For the main page, see 4L 3s.

4L 3s, named smitonic in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 4 large steps and 3 small steps, repeating every octave. Generators that produce this scale range from 857.1 ¢ to 900 ¢, or from 300 ¢ to 342.9 ¢.

Notation

Step ratio Gamut
2:1 (11edo) J, J&/K@, K, L, L&/M@, M, N, N&/O@, O, P, P&/J@, J
3:1 (15edo) J, K@, J&, K, L, M@, L&, M, N, O@, N&, O, P, J@, P&, J
3:2 (18edo) J, J&, K@, K, K&/L@, L, L&, M@, M, M&/N@, N, N&, O@, O, O&/P@, P, P&, J@, J

Tunings

Simple tunings

User:MOS degrees is deprecated. Please use Template:MOS tunings instead.
Scale degree of 4L 3s
Scale degree 11edo (Basic, L:s = 2:1) Approx. JI Ratios
Steps Cents
Perfect 0-smidegree (unison) 0 0 1/1 (exact)
Minor 1-smidegree 1 109.1
Major 1-smidegree 2 218.2
Perfect 2-smidegree 3 327.3
Augmented 2-smidegree 4 436.4
Minor 3-smidegree 4 436.4
Major 3-smidegree 5 545.5
Minor 4-smidegree 6 654.5
Major 4-smidegree 7 763.6
Diminished 5-smidegree 7 763.6
Perfect 5-smidegree 8 872.7
Minor 6-smidegree 9 981.8
Major 6-smidegree 10 1090.9
Perfect 7-smidegree (octave) 11 1200 2/1 (exact)
User:MOS degrees is deprecated. Please use Template:MOS tunings instead.
Scale degree of 4L 3s
Scale degree 15edo (Hard, L:s = 3:1) Approx. JI Ratios
Steps Cents
Perfect 0-smidegree (unison) 0 0 1/1 (exact)
Minor 1-smidegree 1 80
Major 1-smidegree 3 240
Perfect 2-smidegree 4 320
Augmented 2-smidegree 6 480
Minor 3-smidegree 5 400
Major 3-smidegree 7 560
Minor 4-smidegree 8 640
Major 4-smidegree 10 800
Diminished 5-smidegree 9 720
Perfect 5-smidegree 11 880
Minor 6-smidegree 12 960
Major 6-smidegree 14 1120
Perfect 7-smidegree (octave) 15 1200 2/1 (exact)
User:MOS degrees is deprecated. Please use Template:MOS tunings instead.
Scale degree of 4L 3s
Scale degree 18edo (Soft, L:s = 3:2) Approx. JI Ratios
Steps Cents
Perfect 0-smidegree (unison) 0 0 1/1 (exact)
Minor 1-smidegree 2 133.3
Major 1-smidegree 3 200
Perfect 2-smidegree 5 333.3
Augmented 2-smidegree 6 400
Minor 3-smidegree 7 466.7
Major 3-smidegree 8 533.3
Minor 4-smidegree 10 666.7
Major 4-smidegree 11 733.3
Diminished 5-smidegree 12 800
Perfect 5-smidegree 13 866.7
Minor 6-smidegree 15 1000
Major 6-smidegree 16 1066.7
Perfect 7-smidegree (octave) 18 1200 2/1 (exact)
Proposed table output for MOS degrees template
Degree Note name on J 2/1 step ratio (11edo) 3/1 step ratio (15edo) 3/2 step ratio (18edo)
Steps Cents Steps Cents Steps Cents
Perf. unison J 0 0¢ 0 0¢ 0 0¢
Aug. unison J& 1 109.1¢ 2 160¢ 1 66.7¢
Min. 1-smidegree K@ 1 109.1¢ 1 80¢ 2 133.3¢
. . .
Dim. octave J@ 10 1090.9¢ 13 1040¢ 17 1133.3¢
Perf. octave J 11 1200¢ 15 1200¢ 18 1200¢

Supersoft

Semisoft

Semihard

Superhard

Modes

Modes of 4L 3s
UDP Cyclic
order		 Step
pattern
6|0 1 LLsLsLs
5|1 6 LsLLsLs
4|2 4 LsLsLLs
3|3 2 LsLsLsL
2|4 7 sLLsLsL
1|5 5 sLsLLsL
0|6 3 sLsLsLL

Tuning spectrum

Template:Scale tree

Retrieved from "https://en.xen.wiki/index.php?title=User:Ganaram_inukshuk/4L_3s&oldid=117362"