Re: AW: Custom Format

2021-04-01 Thread antlists
On 01/04/2021 09:50, Kevin Barry wrote: On Wed, Mar 31, 2021 at 11:47:05PM +0100, antlists wrote: On 31/03/2021 20:20, Callum Cassidy-Nolan wrote: You are correct, there is no distinction between these two notes, because in terms of pitch they are the same. Actually, they're not ... If you'r

Re: AW: Custom Format

2021-04-01 Thread David Kastrup
Kevin Barry writes: > On Thu, Apr 01, 2021 at 08:24:08PM +0200, David Kastrup wrote: > >> Sure. And even if you wanted to do this with numbers, the 12th root of >> 2 can be calculated by doing a cube root and 2 square roots. And cube >> roots were already calculated by Babylonian mathematicians

Re: AW: Custom Format

2021-04-01 Thread Kevin Barry
On Thu, Apr 01, 2021 at 08:24:08PM +0200, David Kastrup wrote: > So? The seventeenth century did not have frequency counters. Tunings > were established (and actually still are to this day: just ask any organ > tuner or accordion tuner) by distributing the beatings of non-pure > intervals across

Re: AW: Custom Format

2021-04-01 Thread David Kastrup
Kevin Barry writes: > Thu, Apr 01, 2021 at 05:03:58PM +0200, David Kastrup wrote: >> Kevin Barry writes: >> >> > That's why, as soon as the mathematics (root extractions) required for >> > tempered tuning were discovered, it rapidly became the standard. >> >> I think your history of mathematic

Re: AW: Custom Format

2021-04-01 Thread David Kastrup
Kevin Barry writes: > Thu, Apr 01, 2021 at 05:03:58PM +0200, David Kastrup wrote: >> Kevin Barry writes: >> >> > That's why, as soon as the mathematics (root extractions) required for >> > tempered tuning were discovered, it rapidly became the standard. >> >> I think your history of mathematic

Re: AW: Custom Format

2021-04-01 Thread Kevin Barry
Thu, Apr 01, 2021 at 05:03:58PM +0200, David Kastrup wrote: > Kevin Barry writes: > > > That's why, as soon as the mathematics (root extractions) required for > > tempered tuning were discovered, it rapidly became the standard. > > I think your history of mathematics is a bit off. Seriously. A

Re: Custom Format

2021-04-01 Thread Aaron Hill
On 2021-03-31 12:12 pm, Callum Cassidy-Nolan wrote: Could you explain why 6 usually corresponds to the pitch B and not always? B does not always mean B natural. In systems where H is a note, B is the name for B flat. The documentation here is perhaps a little misleading in that it implies t

Re: AW: Custom Format

2021-04-01 Thread David Kastrup
Kevin Barry writes: > That's why, as soon as the mathematics (root extractions) required for > tempered tuning were discovered, it rapidly became the standard. I think your history of mathematics is a bit off. Seriously. And I have no idea how you think mean-tone tunings work. -- David Kastr

Re: Custom Format

2021-04-01 Thread Lukas-Fabian Moser
The issue of black notes is a red herring. Even if you restrict yourself to one pitch, "A" let's say, you will find that there isn't a single correct value for it. The A which is a major third above F is not the same pitch as the A that is fourth fifths (less two octaves) from F (if anyone int

Re: AW: Custom Format

2021-04-01 Thread Kevin Barry
On Wed, Mar 31, 2021 at 11:47:05PM +0100, antlists wrote: > On 31/03/2021 20:20, Callum Cassidy-Nolan wrote: > > You are correct, there is no distinction between these two notes, > > because in terms of pitch they are the same. > > Actually, they're not ... > > If you're talking about "well-tempe