Diamond monotone: Difference between revisions
Cmloegcmluin (talk | contribs) correct per Milne's comments |
Cmloegcmluin (talk | contribs) supplement with direct comments from Milne |
||
| Line 2: | Line 2: | ||
In the original work by [[Andrew Milne]], [[Bill Sethares]] and [[James Plamondon]] — and to some extent on the wiki and in the regular temperament community — this tuning range was referred to simply as the "valid" tuning range. | In the original work by [[Andrew Milne]], [[Bill Sethares]] and [[James Plamondon]] — and to some extent on the wiki and in the regular temperament community — this tuning range was referred to simply as the "valid" tuning range. | ||
The diamond monotone tuning range sets a boundary on any realistic possibility of correct recognition. Within this tuning range, the interval representing 6/5 will always be smaller than the interval representing 5/4 will be smaller than the interval representing 4/3. (As with the diamond purer range, the precise boundary tunings depend on the intervals we wish to privilege - privileging those in p-limit tonality diamond is an arguably reasonable choice). | |||
The ""empirical"" range is likely to fall somewhere between diamond monotone and diamond strict. Though, when one is using tempered spectra to match the tuning, it is possible the empirical range can be made wider. | |||
For examples and other information, see the topic page [[Tuning ranges of regular temperaments]]. | For examples and other information, see the topic page [[Tuning ranges of regular temperaments]]. | ||