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Line 24: Line 24:


== MOS tunings==
== MOS tunings==
{{#invoke: MOS_tunings| mos_tunings
{{MOS tunings|Scale Signature=1L 6s}}
| Scale Signature=5L 2s
 
| MOS Prefix=
{{MOS tunings|Scale Signature=2L 5s}}
| MOS Abbrev=
 
| Collapsed=
{{MOS tunings|Scale Signature=3L 4s}}
| Step Ratios=
 
| JI Ratios=
}}
{{MOS tunings|Scale Signature=10L 4s<4/1>|Step Ratios=3/2}}
{{MOS tunings|Scale Signature=5L 3s<11/5>|Step Ratios=3/2; 5/3}}
{{MOS tunings|Scale Signature=5L 3s<11/5>|Step Ratios=4/1}}
{{MOS tunings|Scale Signature=5L 3s<11/5>|Step Ratios=2/1; 3/1; 5/2}}
{{MOS tunings|Scale Signature=4L 3s}}
{{MOS tunings|Scale Signature=4L 3s}}
{{MOS tunings|Scale Signature=5L 2s}}
{{MOS tunings|Scale Signature=6L 1s}}
{{MOS tunings|Scale Signature=8L 3s <3/1>|Step Ratios=Central Spectrum}}
{{MOS tunings|Scale Signature=8L 3s <3/1>|Step Ratios=Central Spectrum}}
{{MOS tunings|Scale Signature=9L 4s <7/2>|Step Ratios=Central Spectrum}}
{{MOS tunings|Scale Signature=9L 4s <7/2>|Step Ratios=Central Spectrum}}
Line 70: Line 69:
{{Template:TAMNAMS name|6L 1s}}
{{Template:TAMNAMS name|6L 1s}}


===8-note mosses===
=== 8-note mosses===
{{Template:TAMNAMS name|1L 7s}}
{{Template:TAMNAMS name|1L 7s}}


Line 85: Line 84:
{{Template:TAMNAMS name|7L 1s}}
{{Template:TAMNAMS name|7L 1s}}


===9-note mosses===
=== 9-note mosses===
{{Template:TAMNAMS name|1L 8s}}
{{Template:TAMNAMS name|1L 8s}}


Line 102: Line 101:
{{Template:TAMNAMS name|8L 1s}}
{{Template:TAMNAMS name|8L 1s}}


===10-note mosses===
=== 10-note mosses===
{{Template:TAMNAMS name|1L 9s}}
{{Template:TAMNAMS name|1L 9s}}


Line 121: Line 120:
{{Template:TAMNAMS name|9L 1s}}
{{Template:TAMNAMS name|9L 1s}}


==Scale data==
== Scale data==
{{MOS scale properties|Scale Signature=5L 5s}}
{{MOS scale properties|Scale Signature=5L 5s}}


== 5L 2s modes and modmos modes==
==5L 2s modes and modmos modes==
{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=cscscsscscss}}
{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=cscscsscscss}}
{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=LsLLsAs}}
{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=LsLLsAs}}
Line 252: Line 251:
</div>
</div>


===MOS intervals (using large/small instead of MmAPd)===
===MOS intervals (using large/small instead of MmAPd) ===
{| class="wikitable"
{| class="wikitable"
|+Intervals of 5L 2s
|+Intervals of 5L 2s
!Interval
!Interval
!Size(s)
!Size(s)
!Steps
! Steps
!Range in cents
!Range in cents
!Abbrev.
!Abbrev.
Line 268: Line 267:
|-
|-
| rowspan="2" |1-diastep
| rowspan="2" |1-diastep
|Small 1-diastep
| Small 1-diastep
|s
|s
|0.0¢ to 171.4¢
|0.0¢ to 171.4¢
|s1ms
| s1ms
|-
|-
|Large 1-diastep
| Large 1-diastep
| L
|L
|171.4¢ to 240.0¢
|171.4¢ to 240.0¢
|L1ms
|L1ms
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|Small 2-diastep
|Small 2-diastep
|L + s
|L + s
| 240.0¢ to 342.9¢
|240.0¢ to 342.9¢
|s2ms
|s2ms
|-
|-
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|-
|-
|Large 3-diastep
|Large 3-diastep
| 3L
|3L
|514.3¢ to 720.0¢
|514.3¢ to 720.0¢
| L3ms
|L3ms
|-
|-
| rowspan="2" |'''4-diastep'''
| rowspan="2" |'''4-diastep'''
Line 309: Line 308:
|3L + s
|3L + s
|685.7¢ to 720.0¢
|685.7¢ to 720.0¢
|L4ms
| L4ms
|-
|-
| rowspan="2" | 5-diastep
| rowspan="2" |5-diastep
|Small 5-diastep
| Small 5-diastep
| 3L + 2s
|3L + 2s
|720.0¢ to 857.1¢
|720.0¢ to 857.1¢
|s5ms
|s5ms
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|4L + s
|4L + s
|857.1¢ to 960.0¢
|857.1¢ to 960.0¢
|L5ms
| L5ms
|-
|-
| rowspan="2" |6-diastep
| rowspan="2" |6-diastep
|Small 6-diastep
|Small 6-diastep
| 4L + 2s
|4L + 2s
|960.0¢ to 1028.6¢
|960.0¢ to 1028.6¢
|s6ms
|s6ms
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|Large 6-diastep
|Large 6-diastep
|5L + s
|5L + s
| 1028.6¢ to 1200.0¢
|1028.6¢ to 1200.0¢
|L6ms
| L6ms
|-
|-
|'''7-diastep (octave)'''
|'''7-diastep (octave)'''
Line 340: Line 339:
|}
|}


===MOS mode degrees (using large/small instead of MmAPd)===
===MOS mode degrees (using large/small instead of MmAPd) ===
{| class="wikitable sortable"
{| class="wikitable sortable"
|+Scale degree qualities of 5L 2s modes
|+Scale degree qualities of 5L 2s modes
! colspan="2" |Mode names
! colspan="2" |Mode names
! colspan="2" |Ordering
! colspan="2" |Ordering
! rowspan="2" |Step pattern
! rowspan="2" | Step pattern
! colspan="8" |Scale degree
! colspan="8" |Scale degree
|-
|-
!Default
!Default
!Names
! Names
!Bri.
!Bri.
!Rot.
!Rot.
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|Lydian
|Lydian
|1
|1
|1
| 1
|LLLsLLs
|LLLsLLs
|Perf.
|Perf.
|Lg.
|Lg.
| Lg.
|Lg.
|Lg.
|Lg.
|Lg.
|Lg.
|Lg.
|Lg.
|Lg.
| Lg.
|Perf.
|Perf.
|-
|-
|<nowiki>5L 2s 5|1</nowiki>
|<nowiki>5L 2s 5|1</nowiki>
|Ionian (major)
| Ionian (major)
|2
|2
|5
|5
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|Perf.
|Perf.
|Lg.
|Lg.
| Lg.
|Lg.
|Sm.
|Sm.
|Lg.
|Lg.
|Lg.
|Lg.
|Lg.
|Lg.
|Perf.
| Perf.
|-
|-
|<nowiki>5L 2s 4|2</nowiki>
|<nowiki>5L 2s 4|2</nowiki>
|Mixolydian
| Mixolydian
|3
| 3
|2
|2
|LLsLLsL
|LLsLLsL
|Perf.
|Perf.
|Lg.
|Lg.
| Lg.
|Lg.
|Sm.
|Sm.
|Lg.
|Lg.
Line 410: Line 409:
|Perf.
|Perf.
|Lg.
|Lg.
| Sm.
|Sm.
|Sm.
|Sm.
|Lg.
|Lg.
|Lg.
|Lg.
|Sm.
|Sm.
| Perf.
|Perf.
|-
|-
|<nowiki>5L 2s 2|4</nowiki>
|<nowiki>5L 2s 2|4</nowiki>
Line 422: Line 421:
|3
|3
|LsLLsLL
|LsLLsLL
|Perf.
| Perf.
|Lg.
|Lg.
| Sm.
|Sm.
|Sm.
|Sm.
|Lg.
|Lg.
Line 438: Line 437:
|Perf.
|Perf.
|Sm.
|Sm.
| Sm.
|Sm.
|Sm.
|Sm.
|Lg.
|Lg.
Line 451: Line 450:
|sLLsLLL
|sLLsLLL
|Perf.
|Perf.
| Sm.
|Sm.
|Sm.
| Sm.
|Sm.
|Sm.
|Sm.
|Sm.
|Sm.
|Sm.
Line 494: Line 493:
│
│
┘</pre>
┘</pre>
|Not enough room for note names.
| Not enough room for note names.
|-
|-
|Large vis
|Large vis
Line 537: Line 536:
{| class="wikitable"
{| class="wikitable"
! rowspan="2" |Type
! rowspan="2" |Type
! rowspan="2" |Visualization
! rowspan="2" | Visualization
! colspan="7" |Individual steps
! colspan="7" |Individual steps
! rowspan="2" | Notes
! rowspan="2" | Notes
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{| class="wikitable sortable"
{| class="wikitable sortable"
|+3L 4s step sizes
|+3L 4s step sizes
! rowspan="2" |Interval
! rowspan="2" | Interval
! colspan="2" |Basic 3L 4s
! colspan="2" |Basic 3L 4s
(10edo, L:s = 2:1)
(10edo, L:s = 2:1)
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|Large step
|Large step
|2
|2
|240¢
| 240¢
|3
|3
|276.9¢
|276.9¢
Line 731: Line 730:
|1
|1
|120¢
|120¢
|1
| 1
|92.3¢
| 92.3¢
|2
|2
|141.2¢
|141.2¢
|
|
|-
|-
|Bright generator
| Bright generator
|3
|3
|360¢
|360¢
|4
|4
|369.2¢
| 369.2¢
|5
|5
|355.6¢
|355.6¢
Line 751: Line 750:
*JI ratios column only shows if there are any ratios to show
*JI ratios column only shows if there are any ratios to show


===Mos ancestors and descendants===
===Mos ancestors and descendants ===
{| class="wikitable"
{| class="wikitable"
!2nd ancestor
!2nd ancestor
!1st ancestor
!1st ancestor
!Mos
! Mos
!1st descendants
!1st descendants
!2nd descendants
!2nd descendants
|-
|-
| rowspan="4" |uL vs
| rowspan="4" |uL vs
| rowspan="4" |zL ws
| rowspan="4" | zL ws
| rowspan="4" |xL ys
| rowspan="4" |xL ys
| rowspan="2" |xL (x+y)s
| rowspan="2" |xL (x+y)s
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</div>
</div>


== Encoding scheme for module:mos==
== Encoding scheme for module:mos ==


=== Mossteps as a vector of L's and s's===
===Mossteps as a vector of L's and s's===
For an arbitrary step sequence consisting of L's and s's, the sum of the quantities of L's and s's denotes what mosstep it is. EG, "LLLsL" is a 5-mosstep since it has 5 L's and s's total. This can be expressed as a vector denoting how many L's and s's there are. EG, "LLLsL" becomes { 4, 1 }, denoting 4 large steps and 1 small step.
For an arbitrary step sequence consisting of L's and s's, the sum of the quantities of L's and s's denotes what mosstep it is. EG, "LLLsL" is a 5-mosstep since it has 5 L's and s's total. This can be expressed as a vector denoting how many L's and s's there are. EG, "LLLsL" becomes { 4, 1 }, denoting 4 large steps and 1 small step.


Line 831: Line 830:
! rowspan="2" |Value
! rowspan="2" |Value
! colspan="2" |Encoded
! colspan="2" |Encoded
! colspan="4" | Decoded
! colspan="4" |Decoded
|-
|-
!Intervals with 2 sizes
!Intervals with 2 sizes
!Intervals with 1 size
!Intervals with 1 size
!Nonperfectable intervals
!Nonperfectable intervals
! Bright gen
!Bright gen
!Dark gen
!Dark gen
!Period intervals
!Period intervals
Line 846: Line 845:
|2× Augmented
|2× Augmented
|3× Augmented
|3× Augmented
|2× Augmented
| 2× Augmented
|-
|-
|1
|1
|Large plus 1 chroma
|Large plus 1 chroma
| Perfect plus 1 chroma
|Perfect plus 1 chroma
|Augmented
|Augmented
|Augmented
|Augmented
Line 866: Line 865:
| -1
| -1
|'''Small'''
|'''Small'''
|Perfect minus 1 chroma
| Perfect minus 1 chroma
|'''Minor'''
|'''Minor'''
|'''Diminished'''
|'''Diminished'''
Line 877: Line 876:
|Diminished
|Diminished
|2× Diminished
|2× Diminished
| Diminished
|Diminished
|2× Diminished
|2× Diminished
|-
|-
Line 900: Line 899:
! rowspan="2" |Interval in mossteps
! rowspan="2" |Interval in mossteps
! colspan="2" |Encoding
! colspan="2" |Encoding
! rowspan="2" |Decoding
! rowspan="2" | Decoding
! rowspan="2" |Standard notation in the key of F
! rowspan="2" |Standard notation in the key of F
|-
|-
Line 908: Line 907:
|0
|0
|0
|0
|0
| 0
|Perfect 0-diastep
| Perfect 0-diastep
|F
|F
|-
|-
|s
|s
|1
| 1
| -1
| -1
|Minor 1-diastep
|Minor 1-diastep
|Gb
| Gb
|-
|-
|L
|L
|1
| 1
|0
| 0
|Major 1-diastep
|Major 1-diastep
|G
|G
|-
|-
| L + s
|L + s
|2
|2
| -1
| -1
Line 945: Line 944:
|3
|3
|0
|0
| Augmented 3-diastep
|Augmented 3-diastep
| B
|B
|-
|-
|2L + 2s
|2L + 2s
Line 955: Line 954:
|-
|-
|3L + s
|3L + s
|4
| 4
|0
|0
|Perfect 4-diastep
|Perfect 4-diastep
Line 964: Line 963:
| -1
| -1
|Minor 5-diastep
|Minor 5-diastep
| Db
|Db
|-
|-
|4L + s
|4L + s
Line 997: Line 996:
|-
|-
!Default
!Default
! Names
!Names
!Bri.
!Bri.
!Rot.
!Rot.
Line 1,012: Line 1,011:
|Lydian
|Lydian
|1
|1
|1
| 1
|LLLsLLs
|LLLsLLs
|0
|0
Line 1,028: Line 1,027:
|5
|5
|LLsLLLs
|LLsLLLs
|0
| 0
|0
|0
|0
|0
Line 1,046: Line 1,045:
|1
|1
| -1
| -1
|0
| 0
|0
|0
| -1
| -1
Line 1,058: Line 1,057:
|0
|0
|0
|0
| -1
| -1
| -1
| -1
|0
|0
Line 1,089: Line 1,088:
| -1
| -1
|0
|0
| -1
| -1
| -1
| -1
|0
|0
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