Star and Nova
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author genewardsmith and made on 2012-09-03 13:54:21 UTC.
- The original revision id was 361697372.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
Star is an eight-note tempered scale, with something of the sound of the [[octatonic scale]]; however it is less regular and closer to just intonation. Star can be reached from various starting points, one of which is a 5-limit [[Fokker blocks|Fokker black]] which serves as a [[transversal]] for star. The block in question is [[smithgw_star]], 25/24-6/5-5/4-36/25-3/2-5/3-9/5-2/1, which consists of a chain of minor thirds 5/3-1-6/5-36/35 and that chain translated by 5/4, and has three major and three minor triads. By tempering out 126/125, leading to [[Starling+family#x7-limit starling|7-limit starling temperament]] we add the 7-limit intervals 8/7, 7/6, 7/5 and their inversions to the mix, and by tempering by 385/384 also, leading to [[Starling family#x7-limit starling-11-limit|11-limit starling]], the 11/8 interval also. There is no significant tuning advantage to 11-limit starling, a planar temperament, over the linear temperament [[Starling temperaments#Valentine temperament-11-limit|valentine]], so we may consider star to be a scale of valentine. In valentine, with generator a tempered 21/20 of 78 cents, the notes of star are -4, 0, 1, 4, 5, 8, 9, 13 generators.
Original HTML content:
<html><head><title>Star and Nova</title></head><body>Star is an eight-note tempered scale, with something of the sound of the <a class="wiki_link" href="/octatonic%20scale">octatonic scale</a>; however it is less regular and closer to just intonation. Star can be reached from various starting points, one of which is a 5-limit <a class="wiki_link" href="/Fokker%20blocks">Fokker black</a> which serves as a <a class="wiki_link" href="/transversal">transversal</a> for star. The block in question is <a class="wiki_link" href="/smithgw_star">smithgw_star</a>, 25/24-6/5-5/4-36/25-3/2-5/3-9/5-2/1, which consists of a chain of minor thirds 5/3-1-6/5-36/35 and that chain translated by 5/4, and has three major and three minor triads.<br /> <br /> By tempering out 126/125, leading to [[Starling+family#x7-limit starling|7-limit starling temperament]] we add the 7-limit intervals 8/7, 7/6, 7/5 and their inversions to the mix, and by tempering by 385/384 also, leading to <a class="wiki_link" href="/Starling%20family#x7-limit starling-11-limit">11-limit starling</a>, the 11/8 interval also. There is no significant tuning advantage to 11-limit starling, a planar temperament, over the linear temperament <a class="wiki_link" href="/Starling%20temperaments#Valentine temperament-11-limit">valentine</a>, so we may consider star to be a scale of valentine. In valentine, with generator a tempered 21/20 of 78 cents, the notes of star are -4, 0, 1, 4, 5, 8, 9, 13 generators.</body></html>