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7L 3s (4/1-equivalent): Difference between revisions

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Removing this statement because it's not true for some tunings like 17ed4
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{{Infobox MOS}}
{{Infobox MOS}}
'''7L 3s<4/1>''' (sometimes called '''diaquadic''') refers to a non-octave [[MOS scale]] family with a period of a [[4/1]] and which has 7 large and 3 small steps. These scales are in some ways a double octave clone of [[5L 2s|diatonic scale]]s because they are generated from perfect fifths and have the [[7edo]]/[[7ed4]] 685-cent flat fifth and [[5edo]]/10ed4's 720-cent sharp fifth at the ends of the tuning spectrum. However, ~3/2 is now the chroma-negative rather than chroma-positive generator, equalized and collapsed tunings are now swapped (equalized is 720-cent fifth and collapsed is 685-cent fifth), and the basic tuning is now the 705-cent gentle fifth from [[17edo]]/[[17ed4]] instead of 12edo's fifth. Diaquadic scales are also more widely spaced than diatonic scales, closer melodically to an octave-period pentatonic scale.
'''7L 3s<4/1>''' (sometimes called '''diaquadic''') refers to a non-octave [[MOS scale]] family with a period of a [[4/1]] and which has 7 large and 3 small steps. These scales are in some ways a double octave clone of [[5L 2s|diatonic scale]]s because they are generated from perfect fifths and have the [[7edo]]/[[7ed4]] 685-cent flat fifth and [[5edo]]/10ed4's 720-cent sharp fifth at the ends of the tuning spectrum. However, ~3/2 is now the chroma-negative rather than chroma-positive generator, equalized and collapsed tunings are now swapped (equalized is 720-cent fifth and collapsed is 685-cent fifth), and the basic tuning is now the 705-cent gentle fifth from [[17edo]]/[[17ed4]] instead of 12edo's fifth. Diaquadic scales are also more widely spaced than diatonic scales, closer melodically to an octave-period pentatonic scale.
== Intervals ==
{|class="wikitable"
|-
!Chroma-negative generators
!Notation (J = 1/1)
!Chroma-positive generators
!Notation (J = 1/1)
|-
|0
|J
|0
|J
|-
|1
|M
|1
|Q
|-
|2
|Pb
|2
|N
|-
|3
|Sb
|3
|K
|-
|4
|Lb
|4
|R
|-
|5
|Ob
|5
|O
|-
|6
|Rb
|6
|L
|-
|7
|Kb
|7
|S
|-
|8
|Nb
|8
|P
|}


== Modes ==
== Modes ==
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* sLLsLLLsLL 1|8
* sLLsLLLsLL 1|8
* sLLsLLsLLL 0|9
* sLLsLLsLLL 0|9


== Scale tree ==
== Scale tree ==
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