Qian's large comma: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Monzo = -569 359 | | Monzo = -569 359 | ||
| Name = | | Name = Qian's large comma, 359-comma | ||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
Revision as of 05:35, 20 January 2025
| Interval information |
359-comma
reduced harmonic
[-569 359⟩, called Qian's large comma, is an unnoticeable 3-limit comma with a size of 1.845 cents. Which is the amount by which 359 perfect fifths exceed 210 octaves, in other words (3/2)359/2210. It is also the amount by which a Mercator's comma exceeds a Qian's small comma.
Etymology
The comma is discovered by the ancient Chinese theorist, Qian Lezhi（钱乐之，390—462, pronounces as ch'ien lo-chih）, see Qian's 360 pitches.
In Qian's 360 pitches, this comma can be described as the interval between Huangzhong（黄钟） and Anyun（安运）.
Temperaments
Ratio
1934329451767021421190980423006270754962252499447372679942534652297789463068718331568475476554301659845788554312924531179306109686817232569946089263295619210341718686733067
/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712
Old pages
Qianlezhi's large comma[1]