126/125: Difference between revisions

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<span style="display: block; text-align: right;">[[:de:126/125 Deutsch]]</span>

<span style="display: block; text-align: right;">[[:de:126/125|Deutsch]]</span>

The '''starling comma''' or '''septimal semicomma''', 126/125 (about 13.8 cents), is the only superparticular [[7-limit|7-limit]] [[Comma|comma]] which is not the difference between two 7-limit superparticular ratios. Instead, it is the amount by which [[12/7|12/7]] falls short of three [[6/5|6/5]] minor thirds. It is also the amount by which two [[5/3|5/3 major sixths]] (octave-reduced) exceed the [[7/5|7/5 tritone]], and the amount by which three 5/3s (octave-reduced) fall short of the [[7/6|7/6 septimal minor third]]. It can also be found when comparing the conventional 5-limit minor third and major tenth to the nearest Bohlen–Pierce intervals.

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	<span style="display: block; text-align: right;">[[:de:126/125 Deutsch]]</span>		<span style="display: block; text-align: right;">[[:de:126/125\|Deutsch]]</span>

	The '''starling comma''' or '''septimal semicomma''', 126/125 (about 13.8 cents), is the only superparticular [[7-limit\|7-limit]] [[Comma\|comma]] which is not the difference between two 7-limit superparticular ratios. Instead, it is the amount by which [[12/7\|12/7]] falls short of three [[6/5\|6/5]] minor thirds. It is also the amount by which two [[5/3\|5/3 major sixths]] (octave-reduced) exceed the [[7/5\|7/5 tritone]], and the amount by which three 5/3s (octave-reduced) fall short of the [[7/6\|7/6 septimal minor third]]. It can also be found when comparing the conventional 5-limit minor third and major tenth to the nearest Bohlen–Pierce intervals.		The '''starling comma''' or '''septimal semicomma''', 126/125 (about 13.8 cents), is the only superparticular [[7-limit\|7-limit]] [[Comma\|comma]] which is not the difference between two 7-limit superparticular ratios. Instead, it is the amount by which [[12/7\|12/7]] falls short of three [[6/5\|6/5]] minor thirds. It is also the amount by which two [[5/3\|5/3 major sixths]] (octave-reduced) exceed the [[7/5\|7/5 tritone]], and the amount by which three 5/3s (octave-reduced) fall short of the [[7/6\|7/6 septimal minor third]]. It can also be found when comparing the conventional 5-limit minor third and major tenth to the nearest Bohlen–Pierce intervals.