SN scale: Difference between revisions
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The double harmonic scale can be generated by iterating a) three times, introducing first the octave, then the fifth, then the major third, leading to a major seven tetrad, and then applying b) once. It has step signature 2L 1M 4s, and in the symmetric mode, it has step arrangement sLsMsLs. | The double harmonic scale can be generated by iterating a) three times, introducing first the octave, then the fifth, then the major third, leading to a major seven tetrad, and then applying b) once. It has step signature 2L 1M 4s, and in the symmetric mode, it has step arrangement sLsMsLs. | ||
These scales all have a period of an octave - and therefore a) first introduces the interval of an octave, | These scales all have a period of an octave - and therefore a) first introduces the interval of an octave. SN scales may have periods other than an octave - the period, along with the rest of the mapping, is arbitrary. | ||
SN scales are based on epi-Christoffel words form combinatorics, which generalize finite sturmian words, which are equivalent to well-formed scales, and equivalently equivalent to MOS scales that are not ''Multi-MOS'' scales, MOS scales of more than one period, typically with a period that divides the octave evenly. | |||