User:Moremajorthanmajor/7L 3s (15/7-equivalent): Difference between revisions

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2g, then, will fall between 754 cents (4\7) and 792 cents (3\5), the range of [[5L 2s|diatonic]] subminor sixths.
2g, then, will fall between 754 cents (4\7) and 792 cents (3\5), the range of [[5L 2s|diatonic]] subminor sixths.


The "large step" will fall between 188.5 cents (1\7) and 132 cents (1\10), ranging from a small major second to a [[sinaic]].
The "large step" will fall between 188.5 cents (1\7) and 131.9 cents (1\10), ranging from a small major second to a [[sinaic]].


The "small step" will fall between 0 cents and 132 cents, sometimes sounding like a minor second, and sometimes sounding like a quartertone or smaller microtone.
The "small step" will fall between 0 cents and 131.9 cents, sometimes sounding like a minor second, and sometimes sounding like a quartertone or smaller microtone.


The most frequent interval, then is the major third (and its inversion, the diminished seventh), followed by the superfourth and subminor sixth.  
The most frequent interval, then is the major third (and its inversion, the diminished seventh), followed by the superfourth and subminor sixth.  
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The generator range reflects two extremes: one where L = s (3\10), and another where s = 0 (2\7). Between these extremes, there is an infinite continuum of possible generator sizes. By taking freshman sums of the two edges (adding the numerators, then adding the denominators), we can fill in this continuum with compatible edos, increasing in number of tones as we continue filling in the in-betweens. Thus, the smallest in-between edIX would be (3+2)\(10+7) = 5\17 – five degrees of [[17ed15/7]]:
The generator range reflects two extremes: one where L = s (3\10), and another where s = 0 (2\7). Between these extremes, there is an infinite continuum of possible generator sizes. By taking freshman sums of the two edges (adding the numerators, then adding the denominators), we can fill in this continuum with compatible edos, increasing in number of tones as we continue filling in the in-betweens. Thus, the smallest in-between edIX would be (3+2)\(10+7) = 5\17 – five degrees of [[17ed15/7]]:


{{Scale tree|7L 3s <15/7>}}
{{MOS tuning spectrum|Scale Signature=7L 3s <15/7>}}


The scale produced by stacks of 5\17 is the [[17ed15/7 neutral scale]]. Between 11/38 and 16/55, with 9/31 in between, is the mohajira/mohaha/mohoho range, where mohaha and mohoho use the MOS as the chromatic scale of a [[Chromatic pairs|chromatic pair]].
The scale produced by stacks of 5\17 is the [[17ed15/7 neutral scale]]. Between 11/38 and 16/55, with 9/31 in between, is the mohajira/mohaha/mohoho range, where mohaha and mohoho use the MOS as the chromatic scale of a [[Chromatic pairs|chromatic pair]].