Bohlen–Pierce scale: Difference between revisions
m Text replacement - "(\[\[\:(dev|es|purdal|de|en):[^[:space:]\|]*) (.*])" to "$1|$3" |
m external image replaced with local copy; other external image links broken |
||
| Line 3: | Line 3: | ||
The '''Bohlen-Pierce''' ('''BP''') scale is a [[nonoctave|nonoctave]] scale, a 13-part equal division of the perfect-twelfth ([[3/1|3/1]]) or [[Tritave|Tritave]] ('''13edt'''). Each step is about 146 ¢, making it a [[macrotonal|macrotonal]] scale. It is closely related to the rank two temperament [[Sensamagic_clan#Bohpier|bohpier]]. Bohlen-Pierce is normally thought of (if not in these terms, then in fact) as a temperament defined on the 3.5.7 [[Just_intonation_subgroups|subgroup]]. However, it (or at least 3.5.7-limit [[edt|13edt]]) can be extended to the 3.5.7.11/4 subgroup. This extension is controversial because of the presence of 2 in the denominator of 11/4, but the interval is present in the sense that 3^(12\13) provides an approximation to it. Chords of Bohlen-Pierce, from this extended perspective, may be found listed on the page [[Chords_of_bohpier|chords of bohpier]]. Bohlen-Pierce was discovered independently by [[Heinz_Bohlen|Heinz Bohlen]], [[John_Pierce|John Pierce]], [[Kees_van_Prooijen|Kees van Prooijen]], and perhaps others, usually noticed for its good approximation of odd-number just ratios 3:5, 5:7, 3:7, etc.; but not necessarily 4:11, 5:6, 6:7, etc. | The '''Bohlen-Pierce''' ('''BP''') scale is a [[nonoctave|nonoctave]] scale, a 13-part equal division of the perfect-twelfth ([[3/1|3/1]]) or [[Tritave|Tritave]] ('''13edt'''). Each step is about 146 ¢, making it a [[macrotonal|macrotonal]] scale. It is closely related to the rank two temperament [[Sensamagic_clan#Bohpier|bohpier]]. Bohlen-Pierce is normally thought of (if not in these terms, then in fact) as a temperament defined on the 3.5.7 [[Just_intonation_subgroups|subgroup]]. However, it (or at least 3.5.7-limit [[edt|13edt]]) can be extended to the 3.5.7.11/4 subgroup. This extension is controversial because of the presence of 2 in the denominator of 11/4, but the interval is present in the sense that 3^(12\13) provides an approximation to it. Chords of Bohlen-Pierce, from this extended perspective, may be found listed on the page [[Chords_of_bohpier|chords of bohpier]]. Bohlen-Pierce was discovered independently by [[Heinz_Bohlen|Heinz Bohlen]], [[John_Pierce|John Pierce]], [[Kees_van_Prooijen|Kees van Prooijen]], and perhaps others, usually noticed for its good approximation of odd-number just ratios 3:5, 5:7, 3:7, etc.; but not necessarily 4:11, 5:6, 6:7, etc. | ||
Chris Vaisvil's BP electric | [[file:vaisvil-BP-guitar-052-crop.jpg|frame|left|Chris Vaisvil's BP electric guitar. [http://chrisvaisvil.com/the-bohlen-pierce-epiphone-roadie-guitar/ Music from this guitar.] ]] | ||
<div class='external-image-warning' style='background-color:#f8f9fa; border: 1px solid #eaecf0; padding-left: 0.5em; padding-right:0.5em; display:inline-block'> | <div class='external-image-warning' style='background-color:#f8f9fa; border: 1px solid #eaecf0; padding-left: 0.5em; padding-right:0.5em; display:inline-block'> | ||
| Line 39: | Line 32: | ||
(triple bohlen-pierce <span style="">39√3 Classical Guitar by Ron Sword</span>) | (triple bohlen-pierce <span style="">39√3 Classical Guitar by Ron Sword</span>) | ||
* links to ronsword.com broken [[User:Spt3125|Spt3125]] ([[User talk:Spt3125|talk]]) 03:24, 22 September 2018 (UTC) | |||
=Theory= | =Theory= | ||