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shruti-s and Staff Notation   Message List  
Reply | Forward Message #54795 of 85217 |
Re: shruti-s and Staff Notation

--- In tuning@yahoogroups.com, "Haresh BAKSHI" <hareshbakshi@h...>
wrote:

> Hello ALL, have the symbols for representing the 22
> shruti-s on the Staff been standardized?
>
> Can you tell me where these symbols are to be found, please?
>
> Regards,
> Haresh.



i don't know about a standardized notation that may
already exist ... but one can be made from sagittal
which perhaps *should* be the standard.

Dave Keenan perhaps can do this?

----

anyway, if one accepts the "traditional" ancient tuning
of the shruti system as a 3-limit Pythagorean chain,
then all the notes may be notated with standard notation.
i can also provide a HEWM notation for the 5-limit version.


about 1/4 of the way down this page:

http://tonalsoft.com/td/erlich/srutipblock.htm

you can see a 5-limit periodicity-block which Paul Erlich
says is the most common interpretation of the shruti
system -- here i add the 5-limit HEWM notation:

(in the Yahoo interface, click the "Reply" link to view properly)

B- F#- C#- G#- D#-
182---884---386---1088--590
/ \ / \ / \ / \ / \
/ \ / \ / \ / \ / \
Bb F C G D A E B F# C# G# D#
90---792---294---996---498----0----702---204---906---408---1110--612
\ / \ / \ / \ / \ /
\ / \ / \ / \ / \ /
Bb+ F+ C+ G+ D+
112---814---316---1018--520


here is a table showing data for these pitches/intervals,
with their HEWM notation, and the 3-limit equivalents:

A = 1/1

/---------- 5-limit version -------------\ /-- 3-limit --\
cents HEWM 2,3,5-monzo ratio HEWM 2,3-monzo

1109.775004 G# [ -7 5, 0 > 243 : 128
1088.268715 G#- [ -3 1, 1 > 15 : 8 Ab [ 12 -7, >
1017.596288 G+ [ 0 2, -1 > 9 : 5 Fx [-15 10, >
996.0899983 G [ 4 -2, 0 > 16 : 9
905.8650026 F# [ -4 3, 0 > 27 : 16
884.358713 F#- [ 0 -1, 1 > 5 : 3 Gb [ 15 -9, >
813.6862861 F+ [ 3 0, -1 > 8 : 5 E# [-12 8, >
792.1799965 F [ 7 -4, 0 > 128 : 81
701.9550009 E [ -1 1, 0 > 3 : 2
611.7300052 D# [ -9 6, 0 > 729 : 512
590.2237156 D#- [ -5 2, 1 > 45 : 32 Eb [ 10 -6, >
519.5512887 D+ [ -2 3, -1 > 27 : 20 Cx [-17 11, >
498.0449991 D [ 2 -1, 0 > 4 : 3
407.8200035 C# [ -6 4, 0 > 81 : 64
386.3137139 C#- [ -2 0, 1 > 5 : 4 Db [ 13 -8, >
315.641287 C+ [ 1 1, -1 > 6 : 5 B# [-14 9, >
294.1349974 C [ 5 -3, 0 > 32 : 27
203.9100017 B [ -3 2, 0 > 9 : 8
182.4037121 B- [ 1 -2, 1 > 10 : 9 Cb [ 16 -10, >
111.7312853 Bb+ [ 4 -1, -1 > 16 : 15 A# [-11 7, >
90.22499567 Bb [ 8 -5, 0 > 256 : 243
0 A [ 0 0, 0 > 1 : 1



-monz












Fri Jul 23, 2004 6:39 pm

joemonz
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Forward
Message #54795 of 85217 |
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Hello ALL, have the symbols for representing the 22 shruti-s on the Staff been standardized? Can you tell me where these symbols are to be found, please? ...
Haresh BAKSHI
hbakshi1
Offline Send Email
Jul 23, 2004
4:33 pm

... i don't know about a standardized notation that may already exist ... but one can be made from sagittal which perhaps *should* be the standard. Dave Keenan...
monz
joemonz
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Jul 23, 2004
6:39 pm

... D# ... 612 ... When I saw Haresh's message, I had a few questions, but it appears that you've answered all of them, Monz! Since this involves only 5-limit...
George D. Secor
gdsecor
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Jul 23, 2004
9:29 pm

Thanks, Monz and George. Regards, Haresh....
Haresh BAKSHI
hbakshi1
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Jul 23, 2004
11:47 pm

... It's possible to look on this as a detempered schismic; it is very similar to a chain of fifths from -10 to +11 fifths. Tuning in 53-equal would be...
Gene Ward Smith
genewardsmith
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Jul 24, 2004
1:30 am

hi Gene, George, Haresh, ... it's almost certain that this tuning had its origin as an extended chain of pythagorean pitches. i don't have real evidence ......
monz
joemonz
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Jul 24, 2004
2:56 am

... I saw more than one version of the Shruti scale some time ago and I think it would be useful to make some sort of comparison here. To be able to do this, ...
Petr ParĂ­zek
p.parizek@...
Send Email
Jul 24, 2004
8:54 pm

... know who ... this is the ... Scala doesn't know about this one, so I've put a version of it below (the mode was chosen to minimize Tenney height.) Of...
Gene Ward Smith
genewardsmith
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Jul 24, 2004
9:51 pm

... The resulting scale looks ... know who ... this is the ... I found an interesting property of this scale. If we take the Pythagorean scale on 22 notes, and...
Gene Ward Smith
genewardsmith
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Jul 27, 2004
12:29 am

... the Staff been standardized? ... Hi Haresh, I know I'm rather late answering this. But your request send me on an odyssey lasting several days, to try to...
Dave Keenan
dkeenanuqnetau
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Jul 26, 2004
3:44 pm

I wrote: "The only requirement is a single accidental that represents the comma of Didymus ...". I should have written, "... a single up/down pair of ...
Dave Keenan
dkeenanuqnetau
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Jul 26, 2004
3:54 pm

... a ... SA22. ... Haresh, I am in complete agreement with Dave. If you wish Scala to display the 5-comma symbols as Dave has them in his lists (using the...
George D. Secor
gdsecor
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Jul 26, 2004
5:37 pm

Correction to: http://groups.yahoo.com/group/tuning/message/54967 ... should be: ASCII shorthand long down up Comma ... )|( i * 7:11 kleisma,...
George D. Secor
gdsecor
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Jul 26, 2004
6:34 pm

... Were you going to or did you add a lynchpin symbol for the lynchpin comma, 4096/4095; or alternatively for the ennealimmal commas, 2401/2400 or 4375/4374?...
Gene Ward Smith
genewardsmith
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Jul 26, 2004
8:02 pm

... The tridecimal schismina, 4095:4096, which I referred to as the "linchpin" (after Dave first called it that in a private email to me; however, no...
George D. Secor
gdsecor
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Jul 27, 2004
3:27 pm

... 4096/4095, 4375/4374 and 3025/3024 are all commas of 612, as well as of 224, 270, 342, and 494. If we want to go beyond the 612 level of precision, and...
Gene Ward Smith
genewardsmith
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Jul 27, 2004
8:08 pm

... Of course, what George means here is that we have defined single- ASCII-character equivalents for the most common (single-shaft) Sagittal symbols, in such...
Dave Keenan
dkeenanuqnetau
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Jul 26, 2004
10:49 pm
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