Full thread (3 messages)
From: djtrancendance (2009-05-09)
Subject: Combining the golden and silver sections into one scale
! E:\9tonegoldsilvercombined.scl
!
9 note gold silver combined may 8th 2009
9
!
118.86332
235.77738
366.91254
510.73163
599.99564
718.86136
13/8
1076.29807
2/1
This is "simply"
A) The golden and silver sections scales, including all possible notes not just those where overtones don't collide tones on higher octaves (this means each version of the gold/silver scale used in this has a few extra notes vs. Temes equivalent version due to this relaxed constraint)
B) Only selected notes are taken from each scale so that all overtones either near perfectly match (IE are less than 1.013 away from) the root tone on a higher octave that nearest matches it (as JI is designed to do) or are at least a 1.05 ratio away from the nearest tone on a higher octave (which results in assonance, but not dissonance).
Either way...the point is dissonance is avoided and no combination of root tones and/or harmonics come within the 1.015-1.05 ratio area of each other where fierce beating and dissonance occur. :-)
This is probably the most advanced noble=(1+noble)^x+b type scale I have found so far and I'm pretty sure it is original (SCALA didn't return any close matches in its library).
But...if any of you can find any pre-existing scales that near-match this, please speak up because I'd love to read about them. :-)
-Michael
From: Chris Vaisvil (2009-05-09)
Subject: Re: [tuning] Combining the golden and silver sections into one scale
Mike, is this the revised version you mentioned?
On Sat, May 9, 2009 at 12:02 AM, djtrancendance <djtrancendance@...>wrote:
>
>
> ! E:\9tonegoldsilvercombined.scl
> !
> 9 note gold silver combined may 8th 2009
> 9
> !
> 118.86332
> 235.77738
> 366.91254
> 510.73163
> 599.99564
> 718.86136
> 13/8
> 1076.29807
> 2/1
>
> This is "simply"
> A) The golden and silver sections scales, including all possible notes not
> just those where overtones don't collide tones on higher octaves (this means
> each version of the gold/silver scale used in this has a few extra notes vs.
> Temes equivalent version due to this relaxed constraint)
> B) Only selected notes are taken from each scale so that all overtones
> either near perfectly match (IE are less than 1.013 away from) the root tone
> on a higher octave that nearest matches it (as JI is designed to do) or are
> at least a 1.05 ratio away from the nearest tone on a higher octave (which
> results in assonance, but not dissonance).
>
> Either way...the point is dissonance is avoided and no combination of root
> tones and/or harmonics come within the 1.015-1.05 ratio area of each other
> where fierce beating and dissonance occur. :-)
>
> This is probably the most advanced noble=(1+noble)^x+b type scale I have
> found so far and I'm pretty sure it is original (SCALA didn't return any
> close matches in its library).
>
> But...if any of you can find any pre-existing scales that near-match this,
> please speak up because I'd love to read about them. :-)
>
> -Michael
>
>
>
From: djtrancendance@yahoo.com (2009-05-10)
Subject: Re: [tuning] Combining the golden and silver sections into one scale
Yes it is (for the most part, minus one bad note).
One note...ironically this seems bizarrely close to 10TET, only it is missing one sour note from 10TET and one note that sounds sour in 10TET is severely tuned off in this scale vs. 10TET to purify it.
So if you find any instruments tuned so the harmonics/overtones match 10TET they will most likely work fairly well with this tuning.
To make it sound better, replace the 13/8 with 884.35178 (a note from the silver ratio tuning rounded to the nearest JI estimate).
-Michael
--- On Sat, 5/9/09, Chris Vaisvil <chrisvaisvil@...> wrote:
From: Chris Vaisvil <chrisvaisvil@...>
Subject: Re: [tuning] Combining the golden
and silver sections into one scale
To: tuning@yahoogroups.com
Date: Saturday, May 9, 2009, 10:20 AM
Mike, is this the revised version you mentioned?
On Sat, May 9, 2009 at 12:02 AM, djtrancendance <djtrancendance@ yahoo.com> wrote:
! E:\9tonegoldsilverc ombined.scl
!
9 note gold silver combined may 8th 2009
9
!
118.86332
235.77738
366.91254
510.73163
599.99564
718.86136
13/8
1076.29807
2/1
This is "simply"
A) The golden and silver sections scales, including all possible notes not just those where overtones don't collide tones on higher octaves (this means each version of the gold/silver scale used in this has a few extra notes vs. Temes equivalent version due to this relaxed constraint)
B) Only selected notes are taken from each scale so that all overtones either near perfectly match (IE are less than 1.013 away from) the root tone on a higher octave that nearest matches it (as JI is designed to do) or are at least a 1.05 ratio away from the nearest tone on a higher octave (which results in assonance, but not dissonance).
Either way...the point is dissonance is avoided and no combination of root tones and/or harmonics come within the 1.015-1.05 ratio area of each other where fierce beating and dissonance occur. :-)
This is probably the most advanced noble=(1+noble) ^x+b type scale I have found so far and I'm pretty sure it is original (SCALA didn't return any close matches in its library).
But...if any of you can find any pre-existing scales that near-match this, please speak up because I'd love to read about them. :-)
-Michael