Dome
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 2014-05-13 12:19:00 UTC.
- The original revision id was 508620762.
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Original Wikitext content:
A **dome** is the collection of modal variants, ie of [[Periodic scale#Definition-Rotations|rotations]], of a given [[periodic scale]]. Mike Battaglia proposed the term (a permutation of the letters of "mode") to discuss [[Fokker blocks]]. <span style="background-color: rgba(255,255,255,0.917969); color: #222222; font-family: arial,sans-serif;">For example, if you look at all of the scales that you can get with the 25/24 and </span><span style="background-color: rgba(255,255,255,0.917969); color: #222222; font-family: arial,sans-serif;">81/80 unison vectors which contain 1/1, you'll find that you get 49 different scales. If we consider scales which are modally equivalent to be in the same dome, then the playing field reduces to seven domes obtainable from the 25/24 and 81/80 Fokker block. Each dome of this block is a collection of seven scales which are modally equivalent. However, every dome is modally independent from every other dome of the block; the domes partition the set of scales of the block into disjoint sets.</span>
Original HTML content:
<html><head><title>Dome</title></head><body>A <strong>dome</strong> is the collection of modal variants, ie of <a class="wiki_link" href="/Periodic%20scale#Definition-Rotations">rotations</a>, of a given <a class="wiki_link" href="/periodic%20scale">periodic scale</a>. Mike Battaglia proposed the term (a permutation of the letters of "mode") to discuss <a class="wiki_link" href="/Fokker%20blocks">Fokker blocks</a>.<br /> <br /> <span style="background-color: rgba(255,255,255,0.917969); color: #222222; font-family: arial,sans-serif;">For example, if you look at all of the scales that you can get with the 25/24 and </span><span style="background-color: rgba(255,255,255,0.917969); color: #222222; font-family: arial,sans-serif;">81/80 unison vectors which contain 1/1, you'll find that you get 49 different scales. If we consider scales which are modally equivalent to be in the same dome, then the playing field reduces to seven domes obtainable from the 25/24 and 81/80 Fokker block. Each dome of this block is a collection of seven scales which are modally equivalent. However, every dome is modally independent from every other dome of the block; the domes partition the set of scales of the block into disjoint sets.</span></body></html>