[Date Prev][Date Next][Thread Prev][Thread Next][Date Index][Thread Index]
Re: Microtonal accidentals
From: |
Hans Aberg |
Subject: |
Re: Microtonal accidentals |
Date: |
Fri, 8 Nov 2013 10:30:02 +0100 |
On 8 Nov 2013, at 01:47, Keith OHara <address@hidden> wrote:
> On Thu, 07 Nov 2013 13:26:04 -0800, Hans Aberg <address@hidden> wrote:
>>
>> On 7 Nov 2013, at 21:47, Keith OHara <address@hidden> wrote:
>>>
>>> Hans, I am late, but can I persuade you to try this with sharp and flat
>>> representing 4 tone-steps rather than 5 ?
>>
>> No, since in regular E53, the minor second m = 4, and the major second M =
>> 9, so sharps and flats alter with M - m = 5 E53 tonesteps.
>
> But you also have arrow alterations, so you can distinguish more than two
> types of second.
>
> You have the diatonic scale of the bare note-names
> C -9- D -9- E -4- F -9- G -9- A -9- B -4- C
> but the major scale build on the major triads is closer to
> C -9- D -8- E, -5- F -9- G -8- A, -9- B, -5- C
> (with , lowering one step)
>
> You might choose seconds from the set m=4 n=5 N=8 M=9 and have alterations
> M - n = N - m = 4 close to a traditional sharp
> M - N = n - m = 1 close to an 81/80 comma
> then the D major scale, for example, looks more simple
> D -9- E -8- F# -5- G -9- A -8- B, -9- C# -5- D
>
> M-m = 5 steps is another choice for an alteration, but if I write that with a
> sharp I find it harder to understand because I have learned that a sharp is a
> tiny bit less than half a whole tone.
It is not possible to do that with current LilyPond; Graham Breed retuned the
fifth in his regular.ly, so there is still only two generators. What I wrote
here [1] will do it, though.
When describing Just intonation, I think most will depart from Pythagorean
tuning and reach Just intonation via syntonic commas 81/80, or in E53, a
tonestep. In JI C major, the D minor triad is out of tune. If trying to pivot
sequence of triads C F Dm G C the pitch will slip with a syntonic comma. So the
pitch must be adapted somehow.
1. https://lists.gnu.org/archive/html/lilypond-devel/2013-11/msg00062.html
- Re: Microtonal accidentals, (continued)
- Re: Microtonal accidentals, Hans Aberg, 2013/11/03
- Re: Microtonal accidentals, Joseph Rushton Wakeling, 2013/11/03
- Re: Microtonal accidentals, Hans Aberg, 2013/11/03
- Re: Microtonal accidentals, Keith OHara, 2013/11/07
- Re: Microtonal accidentals, Hans Aberg, 2013/11/07
- Re: Microtonal accidentals, Keith OHara, 2013/11/07
- Re: Microtonal accidentals,
Hans Aberg <=
- Re: Microtonal accidentals, Keith OHara, 2013/11/08
- Re: Microtonal accidentals, Hans Aberg, 2013/11/08
- Re: Microtonal accidentals, Hans Aberg, 2013/11/03
- Re: Microtonal accidentals, Hans Aberg, 2013/11/03
- Re: Microtonal accidentals, Hans Aberg, 2013/11/04
- Re: Microtonal accidentals, Graham Breed, 2013/11/03
- Re: Microtonal accidentals, Hans Aberg, 2013/11/03
Re: Microtonal accidentals, Keith OHara, 2013/11/07