Erose–McClain double mode: Difference between revisions
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''' | '''Erose–McClain double modes''', or simply '''double modes''', are a family of [[heptatonic]] scales in [[31edo]]. | ||
They are constructed by taking one of the modes of the | They are constructed by taking one of the modes of the [[5L 2s|diatonic]] scale, but flattening the interval of equivalence by one [[normal diesis]], from 31\31 to 30\31. This creates a [[scale]] with [[pseudo-octave]]s. | ||
The first double mode to be described was double Lydian, by [[Zhea Erose]]. The other six were described by [[Levi McClain]], who was inspired by the work of Erose, and by his own [[McClain toy piano tuning]], which resembles double Phrygian. | The first double mode to be described was double Lydian, by [[Zhea Erose]]. The other six were described by [[Levi McClain]], who was inspired by the work of Erose, and by his own [[McClain toy piano tuning]], which resembles double Phrygian. | ||
== Taxonomy == | == Taxonomy == | ||
Erose–McClain double modes are [[warped diatonic]] scales, containing strings of 6 diatonic steps, but every 7th step is slightly shortened. | |||
Double modes are [[ternary]] scales, because they posess exactly 3 step sizes. Double Lydian and double | Double modes are [[ternary]] scales, because they posess exactly 3 step sizes. Double Lydian and double Ionian are 5L 1M 1s, the other five are 4L 1M 2s. | ||
== Examples == | == Examples == | ||
There are 7 Erose-McClain double modes: | There are 7 Erose-McClain double modes: | ||
* Double Lydian | * Double Lydian – 5 5 5 3 5 5 2 | ||
* Double | * Double Ionian – 5 5 3 5 5 5 2 | ||
* Double Mixolydian | * Double Mixolydian – 5 5 3 5 5 3 4 | ||
* Double Dorian | * Double Dorian – 5 3 5 5 5 3 4 | ||
* Double | * Double Aeolian – 5 3 5 5 3 5 5 | ||
* Double Phrygian | * Double Phrygian – 3 5 5 5 3 5 4 | ||
* Double Locrian | * Double Locrian – 3 5 5 3 5 5 4 | ||
When generating these in [[Scale Workshop]], you need to add a "1" at the end, then delete the last scale degree manually. | When generating these in [[Scale Workshop]], you need to add a "1" at the end, then delete the last scale degree manually. | ||
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The concept of double modes can be generalized to produce even more scales. | The concept of double modes can be generalized to produce even more scales. | ||
=== To | === To modmos scales === | ||
More double modes could be constructed by using a [[ | More double modes could be constructed by using a [[modmos]] of the 5L 2s diatonic scale in 31edo. | ||
For example, melodic minor, harmonic minor, harmonic major, or any of their modes (rotations) could be used. | For example, melodic minor, harmonic minor, harmonic major, or any of their modes (rotations) could be used. | ||
These may not always retain all properties of ordinary double modes. For example, if the | These may not always retain all properties of ordinary double modes. For example, if the modmos itself is ternary, then the double mode may become [[quaternary]]. | ||
A sampling of examples (not exhaustive): | A sampling of examples (not exhaustive): | ||
* Double-modal harmonic minor | * Double-modal harmonic minor – 5 3 5 5 3 7 2 | ||
* Double-modal melodic minor | * Double-modal melodic minor – 5 3 5 5 5 5 2 | ||
* Double-modal harmonic major | * Double-modal harmonic major – 5 5 3 5 3 5 4 | ||
=== To other | === To other edos === | ||
Double modes could be generalized to any [[ | Double modes could be generalized to any [[edo]] that contains both a diatonic scale and a [[diesis (interval region)|diesis]] – that is, an [[interval]] in the range between 25 [[cent]]s and 45 cents. | ||
Double modes in other | Double modes in other edos are constructed the same way as in 31edo – start with a diatonic mode (or modmos thereof), then flatten the octave by one diesis. | ||
If the | If the edo has multiple dieses available, then the one closest to 38.7 cents (i.e. the 31edo diesis) should be used. | ||
=== To other | === To other mos scales === | ||
Double modes could be generalized to any mode of any [[ | Double modes could be generalized to any mode of any [[mos]] or modmos scale, especially any with around 5 to 10 tones. | ||
These would still be constructed the same way: | These would still be constructed the same way: | ||
# Generate the | # Generate the mos or modmos scale inside an edo that has a diesis | ||
# Choose the desired mode of | # Choose the desired mode of mos or modmos | ||
# Flatten the octave of that mode by 1 diesis | # Flatten the octave of that mode by 1 diesis | ||
[[Category:Scales by family]][[Category:31edo]][[Category:7-tone scales]][[Category:Nonoctave]] | [[Category:Scales by family]] | ||
[[Category:31edo]] | |||
[[Category:7-tone scales]] | |||
[[Category:Nonoctave]] | |||