Neutral and interordinal intervals in MOS scales: Difference between revisions
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* A concrete mos tuning is improper iff its hardness is > 2/1 and the number of s steps it has is > 1. | * A concrete mos tuning is improper iff its hardness is > 2/1 and the number of s steps it has is > 1. | ||
Part (1) | Part (1) and (2) take some step size arithmetic: | ||
* Larger k+1-step of aLbs minus larger k-step of aLbs = Smaller k+1-step of aLbs minus smaller k-step of aLbs must be L, if 0 < k < k+1 < a+b. The reason is that larger 1-step = L, larger 2-step = LL, because there are more L’s than s’s. | * Larger k+1-step of aLbs minus larger k-step of aLbs = Smaller k+1-step of aLbs minus smaller k-step of aLbs must be L, if 0 < k < k+1 < a+b. The reason is that larger 1-step = L, larger 2-step = LL, because there are more L’s than s’s. | ||
* Smaller k+1-step of aLbs minus larger k-step of aLbs ≥ 0, with =0 at improprieties. At the values of k and k+1 that are proper, this equals s. | * Smaller k+1-step of aLbs minus larger k-step of aLbs ≥ 0, with =0 at improprieties. At the values of k and k+1 that are proper, this equals s. | ||