Mintaka: Difference between revisions
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One important feature of subgroups involving 3 and 11 is the shimmering octave at the interval designated 243/121; in this temperament, it is equated to 99/49 and placed four generators up. In flatter tunings of the generator, this is closer to a true octave. This interval is meriting of special treatment in terms of consonance and dissonance. | One important feature of subgroups involving 3 and 11 is the shimmering octave at the interval designated 243/121; in this temperament, it is equated to 99/49 and placed four generators up. In flatter tunings of the generator, this is closer to a true octave. This interval is meriting of special treatment in terms of consonance and dissonance. | ||
Tritave-reduced harmonics below 243 are marked in '''bold'''. | |||
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! # !! Cents* !! Approximate Ratios | ! # !! Cents* !! Approximate Ratios | ||
|- | |- | ||
| -4 || 690.0 || 49/33, 121/81, 161/108, 180/121 | | -4 || 690.0 || 49/33, '''121/81''', 161/108, 180/121 | ||
|- | |- | ||
| -3 || 1468.5 || 7/3, 180/77 | | -3 || 1468.5 || '''7/3''', 180/77 | ||
|- | |- | ||
| -2 || 345.0 || 11/9, 28/23, 60/49 | | -2 || 345.0 || '''11/9''', 28/23, 60/49 | ||
|- | |- | ||
| -1 || 1123.5 || 21/11, 23/12 | | -1 || 1123.5 || 21/11, 23/12 | ||