Meantone: Difference between revisions
Complete the infobox |
m by "entire tonality diamond" rules |
||
| Line 12: | Line 12: | ||
| Optimization method = CWE | | Optimization method = CWE | ||
| Generator tuning = 696.7 | | Generator tuning = 696.7 | ||
| MOS scales = [[2L 3s]], [[5L 2s]], [[7L 5s]] | | MOS scales = [[2L 3s]], [[5L 2s]], [[7L 5s]], [[12L 7s]] | ||
| Odd limit 1 = 5 | Mistuning 1 = 5.4 | Complexity 1 = | | Odd limit 1 = 5 | Mistuning 1 = 5.4 | Complexity 1 = 12 | ||
| Odd limit 2 = 9 | Mistuning 2 = 10.8 | Complexity 2 = | | Odd limit 2 = 9 | Mistuning 2 = 10.8 | Complexity 2 = 31 | ||
}} | }} | ||
'''Meantone''' is a familiar historical [[temperament]] based on a [[chain of fifths]] (or fourths), possessing two [[generator|generating intervals]]: the [[octave]] and the [[3/2|fifth]], from which all pitches are composed. This qualifies it as a [[rank-2 temperament]]. The octave is typically pure or close to pure, and the fifth is a few [[cents]] narrower than pure. The rationale for narrowing the fifth is to temper out the [[syntonic comma]], 81/80, which means that stacking four fifths (such as {{dash|C, G, D, A, E|hair|med}}) results in a major third (C–E) that is close to the just interval [[5/4]] rather than the more complex Pythagorean interval [[81/64]]. | '''Meantone''' is a familiar historical [[temperament]] based on a [[chain of fifths]] (or fourths), possessing two [[generator|generating intervals]]: the [[octave]] and the [[3/2|fifth]], from which all pitches are composed. This qualifies it as a [[rank-2 temperament]]. The octave is typically pure or close to pure, and the fifth is a few [[cents]] narrower than pure. The rationale for narrowing the fifth is to temper out the [[syntonic comma]], 81/80, which means that stacking four fifths (such as {{dash|C, G, D, A, E|hair|med}}) results in a major third (C–E) that is close to the just interval [[5/4]] rather than the more complex Pythagorean interval [[81/64]]. | ||