Equable heptatonic: Difference between revisions
CompactStar (talk | contribs) No edit summary |
CompactStar (talk | contribs) No edit summary |
||
| Line 1: | Line 1: | ||
In the theory of [[Margo Schulter]], '''equable heptatonic''' is a category of intervals which occupy regions intermediate between [[11/10]] and [[10/9]], or [[9/5]] and [[20/11]]. There are two heartland regions given below, with approximate cents ranges from Schulter's article [http://www.bestii.com/%7Emschulter/IntervalSpectrumRegions.txt Regions of the Interval Spectrum]: | In the theory of [[Margo Schulter]], '''equable heptatonic''' is a category of intervals which occupy regions intermediate between [[11/10]] and [[10/9]], or [[9/5]] and [[20/11]]. There are two heartland regions given below, with approximate cents ranges from Schulter's article [http://www.bestii.com/%7Emschulter/IntervalSpectrumRegions.txt Regions of the Interval Spectrum]: | ||
* Neut2–Maj2 – intermediate between [[11/10]] and [[10/9]] – 160¢–182¢ (submajor second) | * Neut2–Maj2 – intermediate between [[11/10]] and [[10/9]] – 160¢–182¢ (~submajor second) | ||
* min7–Neut7 – intermediate between [[9/5]] and [[20/11]] – 1018¢–1040¢ (supraminor seventh) | * min7–Neut7 – intermediate between [[9/5]] and [[20/11]] – 1018¢–1040¢ (~supraminor seventh) | ||
Equable heptatonic intervals are well-represented in [[7edo]] at 171.429¢ (1＼7) and 1028.571¢ (6＼7). They also appear in [[27edo]], [[34edo]] and [[41edo]]. As they fall in ambiguous zones between simpler categories, they are inevitably xenharmonic. | Equable heptatonic intervals are well-represented in [[7edo]] at 171.429¢ (1＼7) and 1028.571¢ (6＼7). They also appear in [[27edo]], [[34edo]] and [[41edo]]. As they fall in ambiguous zones between simpler categories, they are inevitably xenharmonic. | ||