Mailing list post
From: genewardsmith (2010-05-10)
Subject: Two versions of Myna[15]
The ratios 6/5, 7/6 and 7/5 are much less complex than 3, 5, or 7, so you get a lot of the diminished triad in both versions, and unlike in 12et, it's actually in tune. Quite accurate seven limit harmony, in fact; all that, and beat ratios too!
! myna15br25.scl
Myna[15] with a brat of 5/2
15
!
39.873439535587316106
79.746879071174631958
119.62031860676194795
309.96835988389682900
349.84179941948414501
389.71523895507146095
580.06328023220634205
619.93671976779365797
659.81015930338097396
699.68359883896829004
890.03164011610317102
929.90507965169048696
969.77851918727780304
1009.6519587228651190
1200.0000000000000000
! 5x^10 + 4x^9 - 50
! myna15br3.scl
Myna[15] with a brat of 3
15
!
39.634519805804147250
79.269039611608294444
118.90355941741244179
309.90862995145103682
349.54314975725518412
389.17766956305933133
580.18274009709792642
619.81725990290207365
659.45177970870622098
699.08629951451036812
890.09137004854896323
929.72588985435311042
969.36040966015725767
1008.9949294659614050
1200.0000000000000000
! 5x^10 + 6x^9 - 60
Full thread (2 messages)
From: genewardsmith (2010-05-10)
Subject: Two versions of Myna[15]
The ratios 6/5, 7/6 and 7/5 are much less complex than 3, 5, or 7, so you get a lot of the diminished triad in both versions, and unlike in 12et, it's actually in tune. Quite accurate seven limit harmony, in fact; all that, and beat ratios too!
! myna15br25.scl
Myna[15] with a brat of 5/2
15
!
39.873439535587316106
79.746879071174631958
119.62031860676194795
309.96835988389682900
349.84179941948414501
389.71523895507146095
580.06328023220634205
619.93671976779365797
659.81015930338097396
699.68359883896829004
890.03164011610317102
929.90507965169048696
969.77851918727780304
1009.6519587228651190
1200.0000000000000000
! 5x^10 + 4x^9 - 50
! myna15br3.scl
Myna[15] with a brat of 3
15
!
39.634519805804147250
79.269039611608294444
118.90355941741244179
309.90862995145103682
349.54314975725518412
389.17766956305933133
580.18274009709792642
619.81725990290207365
659.45177970870622098
699.08629951451036812
890.09137004854896323
929.72588985435311042
969.36040966015725767
1008.9949294659614050
1200.0000000000000000
! 5x^10 + 6x^9 - 60
From: Chris Vaisvil (2010-05-11)
Subject: Re: [tuning] Two versions of Myna[15]
Thanks, been saving your tunings this morning.
Chris
On Mon, May 10, 2010 at 2:39 AM, genewardsmith
<genewardsmith@...> wrote:
The ratios 6/5, 7/6 and 7/5 are much less complex than 3, 5, or 7, so
you get a lot of the diminished triad in both versions, and unlike in
12et, it's actually in tune. Quite accurate seven limit harmony, in
fact; all that, and beat ratios too!
! myna15br25.scl