tuning-math : Message: Re: 19-limit miracle

--- In tuning-math@yahoogroups.com, "Dave Keenan" <D.KEENAN@U...> wrote:

> What is the mapping from generators to primes and what are the errors?

Mapping to primes:
[[1, 1, 3, 3, 2, 7, 7, -1], [0, 6, -7, -2, 15, -34, -30, 54]]

Errors of the primes, in cents:
[-2.52, -2.32, -1.97, -2.76, -3.96, -2.09, -2.66]

commas: [225/224, 243/242, 273/272, 324/323, 351/350, 375/374]
(Since this is in effect 175-et, we may want to add 1445/1444)

175-et val: [175, 277, 406, 491, 605, 647, 715, 743] (not "standard")

rms secor: .09714280747968 = 16.999991308944 / 175

Tue Jul 8, 2003 1:36 am

Show Message Option

"Gene Ward Smith" <gwsmith@...>

genewardsmith

Offline

Send Email

Message #6450 of 20696 |

Expand Messages	Author	Sort by Date
I was pondering the 351/350 comma, which allows the 1--9/7--20/13 triad to be considered as having a 6/5 from 9/7 to 20/13. This is a feature of 13-limit...	Gene Ward Smith genewardsmith	Jul 6, 2003 9:19 am
So Gene, What is the mapping from generators to primes and what are the errors?...	Dave Keenan dkeenanuqnetau	Jul 7, 2003 10:46 pm
... Mapping to primes: [[1, 1, 3, 3, 2, 7, 7, -1], [0, 6, -7, -2, 15, -34, -30, 54]] Errors of the primes, in cents: [-2.52, -2.32, -1.97, -2.76, -3.96, -2.09,...	Gene Ward Smith genewardsmith	Jul 8, 2003 1:36 am
... I'm afraid that jump in complexity from 22 to 49, in going from 11-limit to 13-limit, (and then 88 for 19-limit) makes it fairly uninteresting, except...	Dave Keenan dkeenanuqnetau	Jul 8, 2003 2:02 am
... This more or less says that 19-limit temperaments are never interesting....	Gene Ward Smith genewardsmith	Jul 8, 2003 10:56 pm

< Prev Topic | Next Topic >

Advanced