User:BudjarnLambeth/116zpi: Difference between revisions
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'''116zpi''', the 116th [[zeta peak index]], is a [[Octave stretching|stretched-octaves]] version of [[29edo]]. It can be thought of as ''' | '''116zpi''', the 116th [[zeta peak index]], is a [[Octave stretching|stretched-octaves]] version of [[29edo]]. It can be thought of as '''29ed1202.49c''' or as '''41.465cet'''. | ||
It has a step size of 41.465 [[cent]]s, and the [[octave]] ([[2/1]]) is tuned slightly impurely to | It has a step size of 41.465 [[cent]]s, and the [[octave]] ([[2/1]]) is tuned slightly impurely to 1202.49 cents. | ||
29edo tunes almost all simple [[harmonic]]s slightly flat by roughly the same amount, so 116zpi is one possible way of correcting for this. | 29edo tunes almost all simple [[harmonic]]s slightly flat by roughly the same amount, so 116zpi is one possible way of correcting for this. | ||
| Line 12: | Line 12: | ||
For [[prime]]s up to 29: | For [[prime]]s up to 29: | ||
116zpi approximates these with less than 7 cents error (<17% relative error): | |||
* 2, 3, 11, 13, 19, 23 | * 2, 3, 11, 13, 19, 23 | ||
| Line 29: | Line 29: | ||
All instruments listed under [[29edo#Instruments]] also work for 116zpi. | All instruments listed under [[29edo#Instruments]] also work for 116zpi. | ||
[[Category:Zeta peak indexes]] [[Category:29edo | [[Category:Zeta peak indexes]] [[Category:29edo]] | ||