Teff: Difference between revisions

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'''Teff''' is a temperament in which the generator is a small quarter tone of about 47 cents, and the period is half an octave. The period itself functions as [[24/17]], [[17/12], [[10/7]] and [[7/5]], tempering out [[50/49]] and [[289/288]]. One period up and one generator down gives [[11/8]], which is also [[18/13]] (hence tempering out the [[grossma]], [[144/143]]). One period and two generators up gives a perfect fifth ([[3/2]]), and four of these gives a [[5/1]], tempering out [[81/80]] and making this a [[meantone]] temperament. The four aforementioned commas, plus [[78/77]], suffice to define teff in the [[17-limit]].

'''Teff''' is a temperament in which the generator is a small quarter tone of about 47 cents, and the period is half an octave. The period itself functions as [[24/17]], [[17/12]], [[10/7]] and [[7/5]], tempering out [[50/49]] and [[289/288]]. One period up and one generator down gives [[11/8]], which is also [[18/13]] (hence tempering out the [[grossma]], [[144/143]]). One period and two generators up gives a perfect fifth ([[3/2]]), and four of these gives a [[5/1]], tempering out [[81/80]] and making this a [[meantone]] temperament. The four aforementioned commas, plus [[78/77]], suffice to define teff in the [[17-limit]].

Teff was named by [[Mason Green]], after the grain from which injera (the bread) is made; this is because teff is closely related to [[injera]] temperament. Teff is to injera what [[mohajira]] is to meantone; both split the generator in half in order to accommodate the 11-limit. But unlike mohajira, teff also handles the 13- and 17-limits with relative ease and low complexity. This comes at the cost of some 7-limit intervals being rather out of tune as a consequence of tempering out 50:49.

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	'''Teff''' is a temperament in which the generator is a small quarter tone of about 47 cents, and the period is half an octave. The period itself functions as [[24/17]], [[17/12], [[10/7]] and [[7/5]], tempering out [[50/49]] and [[289/288]]. One period up and one generator down gives [[11/8]], which is also [[18/13]] (hence tempering out the [[grossma]], [[144/143]]). One period and two generators up gives a perfect fifth ([[3/2]]), and four of these gives a [[5/1]], tempering out [[81/80]] and making this a [[meantone]] temperament. The four aforementioned commas, plus [[78/77]], suffice to define teff in the [[17-limit]].		'''Teff''' is a temperament in which the generator is a small quarter tone of about 47 cents, and the period is half an octave. The period itself functions as [[24/17]], [[17/12]], [[10/7]] and [[7/5]], tempering out [[50/49]] and [[289/288]]. One period up and one generator down gives [[11/8]], which is also [[18/13]] (hence tempering out the [[grossma]], [[144/143]]). One period and two generators up gives a perfect fifth ([[3/2]]), and four of these gives a [[5/1]], tempering out [[81/80]] and making this a [[meantone]] temperament. The four aforementioned commas, plus [[78/77]], suffice to define teff in the [[17-limit]].

	Teff was named by [[Mason Green]], after the grain from which injera (the bread) is made; this is because teff is closely related to [[injera]] temperament. Teff is to injera what [[mohajira]] is to meantone; both split the generator in half in order to accommodate the 11-limit. But unlike mohajira, teff also handles the 13- and 17-limits with relative ease and low complexity. This comes at the cost of some 7-limit intervals being rather out of tune as a consequence of tempering out 50:49.		Teff was named by [[Mason Green]], after the grain from which injera (the bread) is made; this is because teff is closely related to [[injera]] temperament. Teff is to injera what [[mohajira]] is to meantone; both split the generator in half in order to accommodate the 11-limit. But unlike mohajira, teff also handles the 13- and 17-limits with relative ease and low complexity. This comes at the cost of some 7-limit intervals being rather out of tune as a consequence of tempering out 50:49.