Just intonation subgroup: Difference between revisions
m →Higher-limit subgroups: subgroup ordering |
No edit summary |
||
| Line 3: | Line 3: | ||
| en = Just intonation subgroup | | en = Just intonation subgroup | ||
| es = | | es = | ||
| ja = | | ja = 純正律部分群 | ||
}} | }} | ||
A '''just intonation subgroup''' is a {{w|free abelian group|group}} generated by a finite set of positive rational numbers via arbitrary multiplications and divisions. Using subgroups implies a way to organize [[just intonation]] intervals such that they form a lattice. Therefore it is closely related to [[regular temperament theory]]. | A '''just intonation subgroup''' is a {{w|free abelian group|group}} generated by a finite set of positive rational numbers via arbitrary multiplications and divisions. Using subgroups implies a way to organize [[just intonation]] intervals such that they form a lattice. Therefore it is closely related to [[regular temperament theory]]. | ||