8019/8000: Difference between revisions
Note the 13-limit extension |
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'''8019/8000''', the '''trimitone comma''' (for "triple minor (whole) tone"), is the [[comma]] in the 11-limit (also 2.3.5.11 [[subgroup]]) by which a stack of three instances of [[10/9]] fall short of [[11/8]], thus leading to the formulation of (11/8)/(10/9)<sup>3</sup>. | '''8019/8000''', the '''trimitone comma''' (for "triple minor (whole) tone"), is the [[comma]] in the 11-limit (also 2.3.5.11 [[subgroup]]) by which a stack of three instances of [[10/9]] fall short of [[11/8]], thus leading to the formulation of (11/8)/(10/9)<sup>3</sup>. It is also the interval separating the [[syntonic comma]] and the [[ptolemisma]] because of being an [[ultraparticular]]. | ||
In the 13-limit, it factors neatly into ([[729/728]])([[1001/1000]]). | In the 13-limit, it factors neatly into ([[729/728]])([[1001/1000]]). | ||