Dubhe: Difference between revisions

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'''Dubhe''' is a [[temperament]] in the 3.5.7.17 [[subgroup]] generated by a sharp [[~]][[17/15]] (or equivalently a flat ~[[45/17]]). As a weak extension of [[BPS]], it [[tempering out|tempers out]] the sensamagic comma, [[245/243]], while splitting the BPS generator of ~[[9/7]] in two (by tempering out [[2025/2023]]) so that a stack of two generators represents 9/7, and a stack of four generators represents [[5/3]] in addition to 81/49, which generates a [[MOS scale]] of [[8L 1s (3/1-equivalent)|8L 1s]] against the tritave. The "canonical" tuning for the generator is [[26edt|3\26]]edt, representing the double [[Bohlen-Pierce]] scale, but a range of other tunings are valid, including [[17edt|2\17]]edt and [[43edt|5\43]]edt.

'''Dubhe''' is a [[temperament]] in the 3.5.7.17 [[subgroup]] generated by a sharp [[~]][[17/15]] (or equivalently a flat ~[[45/17]]). As a weak extension of [[BPS]], it [[tempering out|tempers out]] the sensamagic comma, [[245/243]], while splitting the BPS generator of ~[[9/7]] in two (by tempering out [[2025/2023]]) so that a stack of two generators represents 9/7, and a stack of four generators represents [[5/3]] in addition to 81/49, which generates [[MOS scale]]s of [[8L 1s (3/1-equivalent)|8L 1s]] and [[9L 8s (3/1-equivalent)|9L 8s]] against the tritave. The "canonical" tuning for the generator is [[26edt|3\26]]edt, representing the double [[Bohlen-Pierce]] scale, but a range of other tunings are valid, including [[17edt|2\17]]edt and [[43edt|5\43]]edt.

For technical data, see ''[[No-twos subgroup temperaments#Dubhe]]''.

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	'''Dubhe''' is a [[temperament]] in the 3.5.7.17 [[subgroup]] generated by a sharp [[~]][[17/15]] (or equivalently a flat ~[[45/17]]). As a weak extension of [[BPS]], it [[tempering out\|tempers out]] the sensamagic comma, [[245/243]], while splitting the BPS generator of ~[[9/7]] in two (by tempering out [[2025/2023]]) so that a stack of two generators represents 9/7, and a stack of four generators represents [[5/3]] in addition to 81/49, which generates a [[MOS scale]] of [[8L 1s (3/1-equivalent)\|8L 1s]] against the tritave. The "canonical" tuning for the generator is [[26edt\|3\26]]edt, representing the double [[Bohlen-Pierce]] scale, but a range of other tunings are valid, including [[17edt\|2\17]]edt and [[43edt\|5\43]]edt.		'''Dubhe''' is a [[temperament]] in the 3.5.7.17 [[subgroup]] generated by a sharp [[~]][[17/15]] (or equivalently a flat ~[[45/17]]). As a weak extension of [[BPS]], it [[tempering out\|tempers out]] the sensamagic comma, [[245/243]], while splitting the BPS generator of ~[[9/7]] in two (by tempering out [[2025/2023]]) so that a stack of two generators represents 9/7, and a stack of four generators represents [[5/3]] in addition to 81/49, which generates [[MOS scale]]s of [[8L 1s (3/1-equivalent)\|8L 1s]] and [[9L 8s (3/1-equivalent)\|9L 8s]] against the tritave. The "canonical" tuning for the generator is [[26edt\|3\26]]edt, representing the double [[Bohlen-Pierce]] scale, but a range of other tunings are valid, including [[17edt\|2\17]]edt and [[43edt\|5\43]]edt.

	For technical data, see ''[[No-twos subgroup temperaments#Dubhe]]''.		For technical data, see ''[[No-twos subgroup temperaments#Dubhe]]''.