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Re: Microtonal Helmholtz-Ellis notation in Lilypond: fine-tuning

From: Torsten Anders
Subject: Re: Microtonal Helmholtz-Ellis notation in Lilypond: fine-tuning
Date: Thu, 10 Sep 2009 09:57:39 +0100

On 10.09.2009, at 09:03, Hans Aberg wrote:
It seems to be that that staff indicates the Pythagorean tuning, with accidentals to indicate offsets relative that. Right?

This uniform structure of the Helmholtz-Ellis and Sagittal notation makes it possible to not only notate just intonation but also arbitrary equal temperaments (equal divisions of the octave) with them. The example below shows the pitches of 41-tone equal temperament with Helmholtz-Ellis notation. Note that other enharmonic pitches are possible, for example, Db and C#L (C# transposed down by a septimal comma) share the same 41-tone equal temperament pitch class (namely pitch class 3, the fourth note below).

PNG image

BTW: this example also shows again the problem that the space between an accidental and its related note is larger than the space between the accidental and the previous note. Any idea how to fix that?

Thank you!


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