352/351: Difference between revisions

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made a hopefully useful detail more explicit
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'''352/351''', the '''major minthma''', '''major gentle comma''' or '''11/13-kleisma''' is a [[small comma|small]] [[13-limit]] (also 2.3.11.13 [[subgroup]]) [[comma]] measuring about 4.9{{cent}}. This comma can be described in a number of ways. First, it is the difference between the tridecimal minor third of [[13/11]] and the Pythagorean minor third of [[32/27]], hence the name ''11/13''-kleisma. (This means that when this comma is tempered, 11/8 plus three perfect fourths octave reduces to 13/8; as such, this comma can be understood as relating harmonics 11 and 13 by a chain of fourths.) Second, it is the difference between various tridecimal intervals and their adjacent undecimal intervals such as:  
'''352/351''', the '''major minthma''', '''major gentle comma''' or '''11/13-kleisma''' is a [[small comma|small]] [[13-limit]] (also 2.3.11.13 [[subgroup]]) [[comma]] measuring about 4.9{{cent}}. This comma can be described in a number of ways. First, it is the difference between the tridecimal minor third of [[13/11]] and the Pythagorean minor third of [[32/27]], hence the name ''11/13''-kleisma. This means that when this comma is [[tempering out|tempered out]], 11/8 plus three perfect fourths octave reduces to 13/8; as such, this comma can be understood as relating harmonics 11 and 13 by a chain of fourths. Second, it is the difference between various tridecimal intervals and their adjacent undecimal intervals such as:  
* Between the tridecimal quartertone of [[1053/1024]] and the undecimal quartertone of [[33/32]];
* Between the tridecimal quartertone of [[1053/1024]] and the undecimal quartertone of [[33/32]];
* Between [[16/13]] and [[27/22]]; and  
* Between [[16/13]] and [[27/22]]; and