Neutral and interordinal intervals in MOS scales: Difference between revisions
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Though the term ''interordinal'' is intended to be JI-agnostic and generalizable to non-diatonic mosses, the term comes from the fact that ''k''-steps in the diatonic mos are conventionally called "(''k'' + 1)ths". Interordinals in other mosses generalize diatonic [[interseptimal]]s, which are: | Though the term ''interordinal'' is intended to be JI-agnostic and generalizable to non-diatonic mosses, the term comes from the fact that ''k''-steps in the diatonic mos are conventionally called "(''k'' + 1)ths". Interordinals in other mosses generalize diatonic [[interseptimal]]s, which are: | ||
* 1-inter-2-diastep | * 1-inter-2-diastep = "2nd-inter-3rd" = semifourth = chthonic = ultramajor 2nd | ||
* 2-inter-3-diastep | * 2-inter-3-diastep = "3rd-inter-4th" = semisixth = naiadic = ultramajor 3rd | ||
* 4-inter-5-diastep | * 4-inter-5-diastep = "5th-inter-6th" = semitenth = cocytic = inframinor 6th | ||
* 5-inter-6-diastep | * 5-inter-6-diastep = "6th-inter-7th" = semitwelfth = ouranic = inframinor 7th | ||
Given a primitive mos aLbs with a > b, it's easy to observe the following properties of the simplest equal tunings for the mos, due to the way they divide the small step (s) and the chroma (c = L − s). Note that s separates different ordinal categories while c separates larger and smaller intervals in the same ordinal category. | Given a primitive mos aLbs with a > b, it's easy to observe the following properties of the simplest equal tunings for the mos, due to the way they divide the small step (s) and the chroma (c = L − s). Note that s separates different ordinal categories while c separates larger and smaller intervals in the same ordinal category. | ||