Formal comma: Difference between revisions
→Usage in JI notations: Add ratios in table |
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Each JI notation assumes certain formal commas. The notations largely agree but do diverge for certain primes, because the exact method for choosing the best formal commas is disputed. Ideally, both the 3-count and the size in cents is minimized, and there are other considerations as well. The choice for neutral-sounding primes like 11 (P4 vs. A4) and 13 (m6 vs. M6) is particularly tricky. Certain choices map the ratio [[13/11]] = 289{{c}} to either M2 or M3. Some notation systems allow one to replace the formal comma for such a prime with its [[chromatic]] and/or [[enharmonic]] counterparts. | Each JI notation assumes certain formal commas. The notations largely agree but do diverge for certain primes, because the exact method for choosing the best formal commas is disputed. Ideally, both the 3-count and the size in cents is minimized, and there are other considerations as well. The choice for neutral-sounding primes like 11 (P4 vs. A4) and 13 (m6 vs. M6) is particularly tricky. Certain choices map the ratio [[13/11]] = 289{{c}} to either M2 or M3. Some notation systems allow one to replace the formal comma for such a prime with its [[chromatic]] and/or [[enharmonic]] counterparts. | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+Formal commas used by various JI notations | |+Formal commas used by various JI notations | ||