4M: Difference between revisions

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Minimally Modified [[MODMOS scale|MODMOS]]: '4M' because the initialism would be 4Ms, i.e., MMMM. 4Ms may be of interest as the only [[Chirality|achiral]] (mirror-symmetric) 1-MODMOS (MODMOS through only a single chroma modification) or [[MOS scale|MOS]] with one [[period]] per [[equave]], and as a simple way to modify Multi-MOS into scales with one period per equave.

Minimally Modified [[MODMOS scale|MODMOS]]: '4M' because the initialism would be 4Ms, i.e., MMMM. 4Ms may be of interest as the only [[Chirality|achiral]] (mirror-symmetric) 1-MODMOS (MODMOS through only a single chroma modification) for [[MOS scale|MOS]] with one [[period]] per [[equave]], and as a simple way to modify Multi-MOS into scales with one period per equave.

For MOS with equave period the 4M is the [[MOS scale|MOS]] with the second note in the [[chroma-positive]] generator chain raised by a chroma, or the second last note lowered by a chroma. Using Meantone[7] 4M as an example - the Meantone melodic scale - We start with the [[Meantone]][7] generator chain F-C-G-D-A-E-B. Replacing C with C# (moving it up 7 generators) leads to the chain F-.-G-D-A-E-B-.-C#, which is the notes of the D melodic scale D E F G A B C# D. Alternatively, replacing E with Eb (moving it down 7 generators) leads to the chain Eb-.-F-C-G-D-A-.-B, which we can see is the same scale on a different pitch, i.e., C D Eb F G A B C. The generator chain of the 4M of MOS with one period per equave always takes this shape, with a generator span length 2 generators longer than the number of notes in the scale. Like MOS, 4Ms of MOS with equave period are [[Chirality|achiral]], or mirror-symmetric.

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	Minimally Modified [[MODMOS scale\|MODMOS]]: '4M' because the initialism would be 4Ms, i.e., MMMM. 4Ms may be of interest as the only [[Chirality\|achiral]] (mirror-symmetric) 1-MODMOS (MODMOS through only a single chroma modification) or [[MOS scale\|MOS]] with one [[period]] per [[equave]], and as a simple way to modify Multi-MOS into scales with one period per equave.		Minimally Modified [[MODMOS scale\|MODMOS]]: '4M' because the initialism would be 4Ms, i.e., MMMM. 4Ms may be of interest as the only [[Chirality\|achiral]] (mirror-symmetric) 1-MODMOS (MODMOS through only a single chroma modification) for [[MOS scale\|MOS]] with one [[period]] per [[equave]], and as a simple way to modify Multi-MOS into scales with one period per equave.

	For MOS with equave period the 4M is the [[MOS scale\|MOS]] with the second note in the [[chroma-positive]] generator chain raised by a chroma, or the second last note lowered by a chroma. Using Meantone[7] 4M as an example - the Meantone melodic scale - We start with the [[Meantone]][7] generator chain F-C-G-D-A-E-B. Replacing C with C# (moving it up 7 generators) leads to the chain F-.-G-D-A-E-B-.-C#, which is the notes of the D melodic scale D E F G A B C# D. Alternatively, replacing E with Eb (moving it down 7 generators) leads to the chain Eb-.-F-C-G-D-A-.-B, which we can see is the same scale on a different pitch, i.e., C D Eb F G A B C. The generator chain of the 4M of MOS with one period per equave always takes this shape, with a generator span length 2 generators longer than the number of notes in the scale. Like MOS, 4Ms of MOS with equave period are [[Chirality\|achiral]], or mirror-symmetric.		For MOS with equave period the 4M is the [[MOS scale\|MOS]] with the second note in the [[chroma-positive]] generator chain raised by a chroma, or the second last note lowered by a chroma. Using Meantone[7] 4M as an example - the Meantone melodic scale - We start with the [[Meantone]][7] generator chain F-C-G-D-A-E-B. Replacing C with C# (moving it up 7 generators) leads to the chain F-.-G-D-A-E-B-.-C#, which is the notes of the D melodic scale D E F G A B C# D. Alternatively, replacing E with Eb (moving it down 7 generators) leads to the chain Eb-.-F-C-G-D-A-.-B, which we can see is the same scale on a different pitch, i.e., C D Eb F G A B C. The generator chain of the 4M of MOS with one period per equave always takes this shape, with a generator span length 2 generators longer than the number of notes in the scale. Like MOS, 4Ms of MOS with equave period are [[Chirality\|achiral]], or mirror-symmetric.