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4L 3s (3/1-equivalent): Difference between revisions

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| Pattern = LLsLsLs
| Pattern = LLsLsLs
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{{MOS intro|Other Names=electric}}


'''4L 3s<3/1>''' (or '''electric''') refers to a [[tritave]]-repeating [[MOS]] scale with four large steps and three small steps. It is generated by any interval between 1\4edt and 2\7edt.
== Temperaments ==
== Temperaments ==
4L 3s<3/1> MOS scales can be used for the [[Electra]] temperament, in which three generators down is approximately [[13/11]] and one generator up is approximately [[15/11]]. If 11:13:15 is treated as the fundamental sonority of no-2's music, then Electra can be viewed as the analogue to [[meantone]] and 4L 3s<3/1> can be viewed as the analogue to the diatonic scale. If twos are admitted, the hard end of the Electra heptatonic spectrum can be viewed as the subharmonic version of Pythagorean/Classical tuning.
{{MOS scalesig|4L 3s<3/1>}} MOS scales can be used for the [[Electra]] temperament, in which three generators down is approximately [[13/11]] and one generator up is approximately [[15/11]]. If 11:13:15 is treated as the fundamental sonority of no-2's music, then Electra can be viewed as the analogue to [[meantone]] and {{MOS scalesig|4L 3s<3/1>}} can be viewed as the analogue to the diatonic scale. If twos are admitted, the hard end of the Electra heptatonic spectrum can be viewed as the subharmonic version of Pythagorean/Classical tuning.
== Modes ==
 
{| class="wikitable"
== Scale properties ==
! Mode
{{TAMNAMS use}}
! UDP
 
! Name
=== Intervals ===
|-
{{MOS intervals}}
| LLsLsLs
 
| <nowiki>6|0</nowiki>
=== Generator chain ===
|
{{MOS genchain}}
|-
 
| LsLLsLs
=== Modes ===
| <nowiki>5|1</nowiki>
{{MOS mode degrees}}
|
 
|-
== Scale tree ==
| LsLsLLs
{{MOS tuning spectrum}}
| <nowiki>4|2</nowiki>
 
|
|-
| LsLsLsL
| <nowiki>3|3</nowiki>
|
|-
| sLLsLsL
| <nowiki>2|4</nowiki>
|
|-
| sLsLLsL
| <nowiki>1|5</nowiki>
|
|-
| sLsLsLL
| <nowiki>0|6</nowiki>
|
|}
== Scales ==
{| class="wikitable"
! Generator (chroma-positive)
! Cents (chroma-positive)
! Cents (chroma-negative)
! L
! s
! L/s
! Comments
|-
| 5\[[7edt]]
| 1358.539
| 543.416
| 1
| 1
| 1.0000
|
|-
| 23\[[32edt]]
| 1367.03
| 534.925
| 5
| 4
| 1.2500
|-
| 18\[[25edt]]
| 1369.41
| 532.55
| 4
| 3
| 1.3333
| [[Electra]] is in this region
|-
| 13\[[18edt]]
| 1373.634
| 528.321
| 3
| 2
| 1.5000
|
|-
| 21\[[29edt]]
| 1377.2778
| 524.6772
| 5
| 3
| 1.6667
|
|-
| 8\[[11edt]]
| 1383.2
| 518.7
| 2
| 1
| 2.0000
| Basic electric (generators smaller than this are proper)
|-
| 19\[[26edt]]
| 1389.9
| 512.1
| 5
| 2
| 2.5000
|
|-
| 11\[[15edt]]
| 1394.767
| 507.188
| 3
| 1
| 3.0000
|
|-
| 14\[[19edt]]
| 1401.441
| 500.514
| 4
| 1
| 4.0000
|
|-
| 17\[[23edt]]
| 1405.7928
| 496.1622
| 5
| 1
| 5.0000
|
|-
| 3\[[4edt]]
| 1426.4663
| 475.4888
| 1
| 0
| -> inf
|}
[[Category:7-tone scales]]
[[Category:7-tone scales]]
[[Category:Tritave]]
[[Category:Tritave]]
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