Slendric: Difference between revisions

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'''Slendric''', alternatively named '''wonder''' by [[Margo Schulter]].<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_76975.html#77043 Yahoo! Tuning Group | ''Music Theory (was Re: How to keep discussions on-topic)''], and [https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_87455.html#88377 Yahoo! Tuning Group | ''The "best" scale.'']</ref>, or systematically '''gamelic''', is a [[regular temperament]] generated by [[8/7]], so that three of them stack to [[3/2]]. Thus the gamelisma, [[1029/1024]], is tempered out, which defines the [[Gamelismic clan #Slendric|gamelismic clan]]. Since 1029/1024 is a relatively small comma (8.4 cents), and the error is distributed over several intervals, slendric is quite an accurate temperament (approximating many intervals within 1 or 2 cents in optimal tunings).

'''Slendric''', alternatively named '''wonder''' by [[Margo Schulter]] <ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_76975.html#77043 Yahoo! Tuning Group | ''Music Theory (was Re: How to keep discussions on-topic)''], and [https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_87455.html#88377 Yahoo! Tuning Group | ''The "best" scale.'']</ref>, or systematically '''gamelic''', is a [[regular temperament]] generated by [[8/7]], so that three of them stack to [[3/2]]. Thus the gamelisma, [[1029/1024]], is tempered out, which defines the [[Gamelismic clan #Slendric|gamelismic clan]]. Since 1029/1024 is a relatively small comma (8.4 cents), and the error is distributed over several intervals, slendric is quite an accurate temperament (approximating many intervals within 1 or 2 cents in optimal tunings).

The disadvantage, if you want to think of it that way, is that approximations to the 5th harmonic do not occur until you go a large number of generators away from the unison. In other words, the 5th harmonic must have a large [[complexity]]. Possible extensions of slendric to the full 7 limit include [[mothra]], [[rodan]], and [[guiron]], where mothra tempers out [[81/80]], placing [[5/1]] at 12 generators (4 fifths) up; rodan tempers out [[245/243]], placing [[10/1]] at 17 generators up; and guiron tempers out the schisma, [[32805/32768]], placing the 5th harmonic 24 generators (8 fifths) down.

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	'''Slendric''', alternatively named '''wonder''' by [[Margo Schulter]].<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_76975.html#77043 Yahoo! Tuning Group \| ''Music Theory (was Re: How to keep discussions on-topic)''], and [https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_87455.html#88377 Yahoo! Tuning Group \| ''The "best" scale.'']</ref>, or systematically '''gamelic''', is a [[regular temperament]] generated by [[8/7]], so that three of them stack to [[3/2]]. Thus the gamelisma, [[1029/1024]], is tempered out, which defines the [[Gamelismic clan #Slendric\|gamelismic clan]]. Since 1029/1024 is a relatively small comma (8.4 cents), and the error is distributed over several intervals, slendric is quite an accurate temperament (approximating many intervals within 1 or 2 cents in optimal tunings).		'''Slendric''', alternatively named '''wonder''' by [[Margo Schulter]] <ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_76975.html#77043 Yahoo! Tuning Group \| ''Music Theory (was Re: How to keep discussions on-topic)''], and [https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_87455.html#88377 Yahoo! Tuning Group \| ''The "best" scale.'']</ref>, or systematically '''gamelic''', is a [[regular temperament]] generated by [[8/7]], so that three of them stack to [[3/2]]. Thus the gamelisma, [[1029/1024]], is tempered out, which defines the [[Gamelismic clan #Slendric\|gamelismic clan]]. Since 1029/1024 is a relatively small comma (8.4 cents), and the error is distributed over several intervals, slendric is quite an accurate temperament (approximating many intervals within 1 or 2 cents in optimal tunings).

	The disadvantage, if you want to think of it that way, is that approximations to the 5th harmonic do not occur until you go a large number of generators away from the unison. In other words, the 5th harmonic must have a large [[complexity]]. Possible extensions of slendric to the full 7 limit include [[mothra]], [[rodan]], and [[guiron]], where mothra tempers out [[81/80]], placing [[5/1]] at 12 generators (4 fifths) up; rodan tempers out [[245/243]], placing [[10/1]] at 17 generators up; and guiron tempers out the schisma, [[32805/32768]], placing the 5th harmonic 24 generators (8 fifths) down.		The disadvantage, if you want to think of it that way, is that approximations to the 5th harmonic do not occur until you go a large number of generators away from the unison. In other words, the 5th harmonic must have a large [[complexity]]. Possible extensions of slendric to the full 7 limit include [[mothra]], [[rodan]], and [[guiron]], where mothra tempers out [[81/80]], placing [[5/1]] at 12 generators (4 fifths) up; rodan tempers out [[245/243]], placing [[10/1]] at 17 generators up; and guiron tempers out the schisma, [[32805/32768]], placing the 5th harmonic 24 generators (8 fifths) down.