243/242: Difference between revisions

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'''243/242''', otherwise known as the '''rastma''' or the '''neutral third comma''', is an [[11-limit]] comma with a value of roughly 7.13912 [[cent|cents]]. It is significant in Just Intonation as the amount by which a stack of two [[33/32]] quartertones falls short of an [[2187/2048|apotome]] as well as the difference between [[11/9]] and [[27/22]], and, the difference between [[45/44]] and [[55/54]]. Tempering it out leads to a form of '''[[rastmic temperaments|rastmic temperament]]''' or '''neutral temperament'''. When not tempered out, the rastma behaves much ~~as the~~ 11-limit counterpart to the 5-limit's [[81/80|syntonic comma]] – a property that becomes especially apparent when one works extensively with 33/32 quartertones.

'''243/242''', otherwise known as the '''rastma''' or the '''neutral third comma''', is an [[11-limit]] comma with a value of roughly 7.13912 [[cent|cents]]. It is significant in Just Intonation as the amount by which a stack of two [[33/32]] quartertones falls short of an [[2187/2048|apotome]] as well as the difference between [[11/9]] and [[27/22]], and, the difference between [[45/44]] and [[55/54]]. Tempering it out leads to a form of '''[[rastmic temperaments|rastmic temperament]]''' or '''neutral temperament'''. When not tempered out, the rastma behaves much like an 11-limit counterpart to the 5-limit's [[81/80|syntonic comma]] – a property that becomes especially apparent when one works extensively with 33/32 quartertones.

[[Category:11-limit]]

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	'''243/242''', otherwise known as the '''rastma''' or the '''neutral third comma''', is an [[11-limit]] comma with a value of roughly 7.13912 [[cent\|cents]]. It is significant in Just Intonation as the amount by which a stack of two [[33/32]] quartertones falls short of an [[2187/2048\|apotome]] as well as the difference between [[11/9]] and [[27/22]], and, the difference between [[45/44]] and [[55/54]]. Tempering it out leads to a form of '''[[rastmic temperaments\|rastmic temperament]]''' or '''neutral temperament'''. When not tempered out, the rastma behaves much ~~as the~~ 11-limit counterpart to the 5-limit's [[81/80\|syntonic comma]] – a property that becomes especially apparent when one works extensively with 33/32 quartertones.		'''243/242''', otherwise known as the '''rastma''' or the '''neutral third comma''', is an [[11-limit]] comma with a value of roughly 7.13912 [[cent\|cents]]. It is significant in Just Intonation as the amount by which a stack of two [[33/32]] quartertones falls short of an [[2187/2048\|apotome]] as well as the difference between [[11/9]] and [[27/22]], and, the difference between [[45/44]] and [[55/54]]. Tempering it out leads to a form of '''[[rastmic temperaments\|rastmic temperament]]''' or '''neutral temperament'''. When not tempered out, the rastma behaves much like an 11-limit counterpart to the 5-limit's [[81/80\|syntonic comma]] – a property that becomes especially apparent when one works extensively with 33/32 quartertones.

	[[Category:11-limit]]		[[Category:11-limit]]