What do you call a tuning built on the following basis: (?)
'Major 3rd' = 10/9 * 10/9 two minor tones, = ca. 364.8 cents
'Fifth' = sqrt of (20/9) = ca. 691.2 cents.
Minor third is 691.2 - 364.8 = 326.4 cents.
Semitone = 144 cents
Chroma (minor 2nd) = 38.4 cents.
This is a kind of opposite to pythagorean reflecting around meantone:
10/9 as Maj 2nd - Meantone - Pythagorean.
FCGDAEB:
508.8
0
691.2
182.4
873.6
364.8
1056
Mark Gould wrote:
>What do you call a tuning built on the following basis: (?)
A half-comma meantone tuning. It was discussed recently
around 22-24 June on the MakeMicroMusic list.
Manuel
hi Mark and Manuel,
> From: "Mark Gould" <mark.gould@argonet.co.uk>
> To: <tuning@yahoogroups.com>
> Sent: Wednesday, September 18, 2002 12:23 AM
> Subject: [tuning] What tuning is this?
>
>
> What do you call a tuning built on the following basis: (?)
>
> 'Major 3rd' = 10/9 * 10/9 two minor tones, = ca. 364.8 cents
> 'Fifth' = sqrt of (20/9) = ca. 691.2 cents.
>
> Minor third is 691.2 - 364.8 = 326.4 cents.
> Semitone = 144 cents
> Chroma (minor 2nd) = 38.4 cents.
>
> This is a kind of opposite to pythagorean reflecting around meantone:
>
> 10/9 as Maj 2nd - Meantone - Pythagorean.
>
>
> FCGDAEB:
>
> 508.8
> 0
> 691.2
> 182.4
> 873.6
> 364.8
> 1056
> From: <manuel.op.de.coul@eon-benelux.com>
> To: <tuning@yahoogroups.com>
> Sent: Wednesday, September 18, 2002 2:28 AM
> Subject: Re: [tuning] What tuning is this?
>
>
> Mark Gould wrote:
> > What do you call a tuning built on the following basis: (?)
>
> A half-comma meantone tuning. It was discussed recently
> around 22-24 June on the MakeMicroMusic list.
thanks to Manuel's tip-off that it's a 1/2-comma meantone,
i knew that it would resemble 33edo, and indeed it does:
Mark's ---- 33edo ------
scale deg. cents error
508.8 14 509.1 0.3
0 0 0 0
691.2 19 690.9 -0.3
182.4 5 181.8 -0.6
873.6 24 872.7 -0.9
364.8 10 363.6 -1.2
1056 29 1054.5 -1.5
-monz
"all roads lead to n^0"