Neutral and interordinal intervals in MOS scales: Difference between revisions
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* The parent mos, which is bL(a-b)s, has steps Ls and L. In this context, since aLbs is assumed to have hardness 2/1, bL(a-b)s has hardness 3/2 thus is strictly proper. | * The parent mos, which is bL(a-b)s, has steps Ls and L. In this context, since aLbs is assumed to have hardness 2/1, bL(a-b)s has hardness 3/2 thus is strictly proper. | ||
=== Lemma 1 | === Lemma 1 === | ||
For positive integers n and k and for real x, floor((n+k)x) - floor(nx) >= floor(kx). | For positive integers n and k and for real x, floor((n+k)x) - floor(nx) >= floor(kx). | ||
==== Proof ==== | ==== Proof ==== | ||