Formal comma: Difference between revisions

Revision as of 10:04, 16 July 2025 view source FloraC (talk \| contribs) autopatrolled, Bureaucrats, Interface administrators, Sysops 24,114 edits Cleanup ← Older edit		Revision as of 10:05, 16 July 2025 view source FloraC (talk \| contribs) autopatrolled, Bureaucrats, Interface administrators, Sysops 24,114 edits Formal commas are notation-specific Newer edit →
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	A '''formal comma''' (also called a '''mapping comma'''{{idiosyncratic}}) for a prime number ''p'' > 3 is a comma that maps every [[prime subgroup\|2.3.''p''-subgroup]] interval to a nearby conventional [[3-limit]] interval. For example, [[81/80]] maps every 5-limit interval to the 3-limit.		A '''formal comma''' (also called a '''mapping comma'''{{idiosyncratic}}) for a prime number {{nowrap\| ''p'' > 3 }} is a comma in some [[musical notation]] that maps every [[prime subgroup\|2.3.''p''-subgroup]] interval to a nearby conventional [[3-limit]] interval. For example, [[81/80]] maps every 5-limit interval to the 3-limit.

	A formal comma can be identified by the prime ''p'' and the 3-limit interval that ''p''/1 (octave-reduced) maps to. The 3-limit interval is named conventionally. Thus both "prime 5 = major third" and "5/4 = M3" unambiguously indicate 81/80.		A formal comma can be identified by the prime ''p'' and the 3-limit interval that ''p''/1 (octave-reduced) maps to. The 3-limit interval is named conventionally. Thus both "prime 5 = major third" and "5/4 = M3" unambiguously indicate 81/80.