linuxaudio.org

On 13/07/12 11:28, Fons Adriaensen wrote:

quoted text
> On Fri, Jul 13, 2012 at 11:05:02AM +0200, Funs Seelen wrote:

>> On Thu, Jul 12, 2012 at 7:21 PM, Rustom Mody  wrote:

>>

>>> The pythagorean comma is (by definition??) the gap between B# and C where

>>> by B#  means the 12th in a circle of perfect fifths starting at C.

>>>

>>>

>> I would say "a possible gap". It depends on the used temperament, in this

>> case Pythagorean (perfect fifth: 3/2). For example mean tone temperament

>> doesn't care that much about fifths and uses 5/4 for major thirds.

>> ...

> Writing B#, E#, Fb, Cb or using double accidentals is first of all

> a matter of consistent notation. A normal major or minor scale should

> have all of A..G (ignoring # and b) in it and not repeat one of them.

> That way the character (and the position of a note on a staff)

> corresponds one-to-one to the note's position in the scale.

>

> For example the last three notes of F# Maj. are written as

>

>   D#  E#  F#

>

> and not

>

>   D#  F  F#

This can be helpful to visualise it:

http://en.wikipedia.org/wiki/Major_scale#The_circle_of_fifths
Lorenzo
>

quoted text
>

> Now if the actual frequencies of E# and F need to be different

> depends on the temperament. If they need to, and the instrument

> doesn't have a separate key for E#, that just means you can't

> use the F# Maj. scale with the given temperament.

>

> Ciao,

>

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