5th-octave temperaments: Difference between revisions
m →Thunderclysmic: there is no 55-note MOS scale |
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It is a complex temperament, however note that it is especially strong and elegant in the no-13's no-17's no-31's [[37-limit]] (add-97), on which its mapping is especially efficient, so that the gen range is -3 to 7 for a(n inclusive) span of 11 notes per 1\5 period, hence the noting of the 65-note MOS, [[15L 50s]], followed by 15L 65s, 15L 80s, etc. as we have a number of comma-sized (~9{{cent}}) small steps as separating the 3 large steps per 1\5 period, arising from the difference between (6/5)<sup>3</sup> = ~951{{cent}} and 3\5 = 960{{cent}}. | It is a complex temperament, however note that it is especially strong and elegant in the no-13's no-17's no-31's [[37-limit]] (add-97), on which its mapping is especially efficient, so that the gen range is -3 to 7 for a(n inclusive) span of 11 notes per 1\5 period, hence the noting of the 65-note MOS, [[15L 50s]], followed by 15L 65s, 15L 80s, etc. as we have a number of comma-sized (~9{{cent}}) small steps as separating the 3 large steps per 1\5 period, arising from the difference between (6/5)<sup>3</sup> = ~951{{cent}} and 3\5 = 960{{cent}}. | ||
The broadest tuning range of this temperament corresponds to 15L 95s. | The broadest tuning range of this temperament corresponds to 15L 95s, or the hard side of 15L 80s to make the inclusion of [[110edo]] more obvious. | ||
=== 7-limit === | === 7-limit === | ||