Yahoo Tuning Groups Ultimate Backup tuning FW: [tuning] Re: temperament and 12-tone scale based on ado or edl

thanks

Another questions :

1- is temperament used only for 12-tone chromatic scales ? can we use it
for , for example 11-tone scale or pentatonic scale in any system or
this 12-ado system :

0: 1/1 0.000 unison, perfect prime

1: 13/12 138.573 tridecimal 2/3-tone

2: 7/6 266.871 septimal minor third

3: 5/4 386.314 major third

4: 4/3 498.045 perfect fourth

5: 17/12 603.000 2nd septendecimal tritone

6: 3/2 701.955 perfect fifth

7: 19/12 795.558 undevicesimal minor sixth

8: 5/3 884.359 major sixth, BP sixth

9: 7/4 968.826 harmonic seventh

10: 11/6 1049.363 21/4-tone, undecimal neutral
seventh

11: 23/12 1126.319 vicesimotertial major seventh

12: 2/1 1200.000 octave

2- is it important to focus on fifth to search for temperament and its
kind?

From: tuning@yahoogroups.com [mailto:tuning@yahoogroups.com] On Behalf
Of Gene Ward Smith
Sent: Wednesday, May 10, 2006 5:31 AM
To: tuning@yahoogroups.com
Subject: [tuning] Re: temperament and 12-tone scale based on ado or edl

--- In tuning@yahoogroups.com, "Mohajeri Shahin" <shahinm@...> wrote:

> 1- what is exact meaning of temperament , has every arrangement of
> intervals a temperament?

Temperament means that intervals are tempered, or adjusted, away from
the theoretical just value so they can play more than one role. For
instance, a whole tone might be employed both as a fifth above a fifth
reduced to an octave, or as a minor third below a fourth.

> 2-In edl or ado , we can have 12-tone scales with 12 different fifth ,
> what about this?

Different sizes for 7 scale steps out of 12 is usual, and may involve
tempering or may not.

> The maximum and minimum error are 2.062 and - 1.655 cent.this scale
has
> these fifths :
>
> 0: 0.000 cents
>
> 7: 700.603 cents
>
> 2: 699.929 cents
>
> 9: 697.405 cents
>
> 4: 701.955 cents
>
> 11: 700.252 cents
>
> 6: 698.129 cents
>
> 1: 701.955 cents
>
> 8: 700.522 cents
>
> 3: 699.808 cents
>
> 10: 700.347 cents
>
> 5: 700.750 cents
>
> 12: 698.345 cents

This is a well-temperament, so it's a temperament.

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FW: [tuning] Re: temperament and 12-tone scale based on ado or edl

🔗Mohajeri Shahin <shahinm@kayson-ir.com>