Talk:Bohpier/Chords - Revision history

Lériendil: Lériendil moved page Talk:Chords of bohpier to Talk:Bohpier/Chords

2025-06-22T21:47:34Z

Lériendil moved page Talk:Chords of bohpier to Talk:Bohpier/Chords

← Older revision	Revision as of 21:47, 22 June 2025
(No difference)

Mike Battaglia: 1 revision imported: Moving archived Wikispaces discussion to subpage

2018-10-01T18:02:34Z

1 revision imported: Moving archived Wikispaces discussion to subpage

← Older revision	Revision as of 18:02, 1 October 2018
(No difference)

WikispacesArchive>Mike Battaglia: Text replacement - "'''All discussion below is archived from the Wikispaces export in its original unaltered form.'''" to "'''All discussion below is archived from the Wikispaces export in its original unaltered form.''' ''...

2018-10-01T18:01:16Z

Text replacement - "'''All discussion below is archived from the Wikispaces export in its original unaltered form.'''" to "'''All discussion below is archived from the Wikispaces export in its original unaltered form.''' <span style="color:#800000">''...

← Older revision		Revision as of 18:01, 1 October 2018
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	~~= ARCHIVED WIKISPACES DISCUSSION BELOW =~~		{{WSArchiveLink}}
	~~'''All discussion below is archived from the Wikispaces export in its original unaltered form.'''~~

	~~<span style="color:#800000">'''PLEASE MAKE ANY NEW COMMENTS <u>ABOVE</u> THIS SECTION.'''</span> Anything below here is for archival purposes only.~~

	~~----~~

	~~== 11-limit "Bohlen-Pierce" ==~~
	~~Bohpier temperament is [< 1 0 0 0 2 \|, < 0 13 19 23 12 \|].~~

	~~When restricted to the 3.5.7 subgroup, this becomes a rank-1 temperament, the well known "Bohlen-Pierce" 13ed3.~~

	But this doesn't work in the 11 limit at all, because of that nasty 2 in the period mapping. You can get out of bohpier either a 3.5.7.11 temperament that is rank-2, or a rank-1 temperament on the weird subgroup 3.5.7.11/8. Since Bohlen-Pierce theory makes a big deal about using only odd numbers, working perfectly with odd-harmonic timbres, and so on, it's clearly a mistake to call this rank-1 temperament "Bohlen-Pierce".

	~~If anyone comes to this page looking for BP chords, they'll be justifiably bewildered and confused, because most of the chords here don't correspond to anything in BP. Only the 7-prime-limit ones do.~~

	~~- '''keenanpepper''' January 05, 2012, 12:54:39 PM UTC-0800~~
	~~----~~
	It's actually the 3.5.7.11/4 subgroup, but I take your point. I think it's bizarre BP purists would ignore a perfectly decent 11/4, but I'll take your word they do, and note it when I have the time. Or you could do it, with less of an urge to lecture about the idiocy of it all.

	~~- '''genewardsmith''' January 05, 2012, 01:11:40 PM UTC-0800~~
	~~----~~

Mike Battaglia: Text replacement - "'''All discussion below is archived from the Wikispaces export in its original unaltered form.'''" to "'''All discussion below is archived from the Wikispaces export in its original unaltered form.''' ''...

2018-09-20T07:00:37Z

← Older revision		Revision as of 07:00, 20 September 2018
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	= ARCHIVED WIKISPACES DISCUSSION BELOW =		= ARCHIVED WIKISPACES DISCUSSION BELOW =
	'''All discussion below is archived from the Wikispaces export in its original unaltered form.'''		'''All discussion below is archived from the Wikispaces export in its original unaltered form.'''

			<span style="color:#800000">'''PLEASE MAKE ANY NEW COMMENTS <u>ABOVE</u> THIS SECTION.'''</span> Anything below here is for archival purposes only.

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Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

New page

= ARCHIVED WIKISPACES DISCUSSION BELOW =
'''All discussion below is archived from the Wikispaces export in its original unaltered form.'''
----

== 11-limit "Bohlen-Pierce" ==
Bohpier temperament is [< 1 0 0 0 2 |, < 0 13 19 23 12 |].

When restricted to the 3.5.7 subgroup, this becomes a rank-1 temperament, the well known "Bohlen-Pierce" 13ed3.

But this doesn't work in the 11 limit at all, because of that nasty 2 in the period mapping. You can get out of bohpier either a 3.5.7.11 temperament that is rank-2, or a rank-1 temperament on the weird subgroup 3.5.7.11/8. Since Bohlen-Pierce theory makes a big deal about using only odd numbers, working perfectly with odd-harmonic timbres, and so on, it's clearly a mistake to call this rank-1 temperament "Bohlen-Pierce".

If anyone comes to this page looking for BP chords, they'll be justifiably bewildered and confused, because most of the chords here don't correspond to anything in BP. Only the 7-prime-limit ones do.

- '''keenanpepper''' January 05, 2012, 12:54:39 PM UTC-0800
----
It's actually the 3.5.7.11/4 subgroup, but I take your point. I think it's bizarre BP purists would ignore a perfectly decent 11/4, but I'll take your word they do, and note it when I have the time. Or you could do it, with less of an urge to lecture about the idiocy of it all.

- '''genewardsmith''' January 05, 2012, 01:11:40 PM UTC-0800
----