Xen concepts for beginners: Difference between revisions

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Every MOS scale with m large steps and n small steps is a mode of some pattern. This is why you only need to write mL ns for an octave-equivalent MOS scale. For example, every 5L3s MOS scale is a mode of the pattern LLsLLsLs.

An important way that MOS scales vary is hardness, the ratio of the size of the L step to the size of the s step. 12edo has basic (L/s = 2/1) diatonic, 17edo has hard (L/s = 3/1) diatonic, and 19edo has soft (L/s = 3/2) diatonic. To adjust the hardness of a MOS provided by an edo, we can add two edos, obtaining an edo where the hardness is the mediant of the two original edos'. Any given MOS pattern is available in more than one edo, and the basic tuning of a MOS pattern gives the smallest edo that provides that MOS pattern.

An important way that MOS scales vary is [[hardness]], the ratio of the size of the L step to the size of the s step. 12edo has basic (L/s = 2/1) diatonic, 17edo has hard (L/s = 3/1) diatonic, and 19edo has soft (L/s = 3/2) diatonic. To adjust the hardness of a MOS provided by an edo, we can add two edos, obtaining an edo where the hardness is the mediant of the two original edos'. Any given MOS pattern is available in more than one edo, and the basic tuning of a MOS pattern gives the smallest edo that provides that MOS pattern.

The generator size and the period thus determine the MOS scales that can be obtained. Hardness varies with generator size within a MOS's range.

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 Every MOS scale with m large steps and n small steps is a mode of some pattern. This is why you only need to write mL ns for an octave-equivalent MOS scale. For example, every 5L3s MOS scale is a mode of the pattern LLsLLsLs.
-An important way that MOS scales vary is hardness, the ratio of the size of the L step to the size of the s step. 12edo has basic (L/s = 2/1) diatonic, 17edo has hard (L/s = 3/1) diatonic, and 19edo has soft (L/s = 3/2) diatonic. To adjust the hardness of a MOS provided by an edo, we can add two edos, obtaining an edo where the hardness is the mediant of the two original edos'. Any given MOS pattern is available in more than one edo, and the basic tuning of a MOS pattern gives the smallest edo that provides that MOS pattern.
+An important way that MOS scales vary is [[hardness]], the ratio of the size of the L step to the size of the s step. 12edo has basic (L/s = 2/1) diatonic, 17edo has hard (L/s = 3/1) diatonic, and 19edo has soft (L/s = 3/2) diatonic. To adjust the hardness of a MOS provided by an edo, we can add two edos, obtaining an edo where the hardness is the mediant of the two original edos'. Any given MOS pattern is available in more than one edo, and the basic tuning of a MOS pattern gives the smallest edo that provides that MOS pattern.
 The generator size and the period thus determine the MOS scales that can be obtained. Hardness varies with generator size within a MOS's range.