NumerologicalNontemperament: Difference between revisions

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-Numerological Nontemperament is a scale developed by Rozencrantz the sane in a fit of irrationality. After reading about irrational ratios and [[Charles_Lucy|Charles Lucy]]'s use of pi, I wondered what a truly irrational scale would sound like. A rank-2 temperament, the large generator (formal-octave) is pi (approximately 355/113, a wide 12th) and the small generator is the Golden Ratio (around 830 cents)
+Numerological Nontemperament is a scale developed by Rozencrantz the sane in a fit of irrationality. After reading about irrational ratios and [[Charles_Lucy|Charles Lucy]]'s use of pi, I wondered what a truly irrational scale would sound like. A rank-2 temperament, the [[Period|large generator]] (formal-octave) is [[Wikipedia:Pi|pi]] (approximately 355/113, a wide 12th) and the small [[generator]] is the [[golden ratio]] (around 830 cents)
 The scale lies on top of the halberstadt keyboard quite nicely, though it lacks the key orientation that would make raised accidentals at all meaningful.
+<pre>
 !
+Irrational scale: Small generator is Golden Ratio, Large generator is Pi
-Irrational scale: Small generator is [[Golden_Ratio|Golden Ratio]], Large generator is [[Pi|Pi]]
 !
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+.79600</pre>
-.79600
+[[Category:19-note scales]]
-[[Category:phi]]
+[[Category:Tempered scales]]
-[[Category:pi]]
+[[Category:Golden]]
-[[Category:scale]]
+[[Category:Pi]]
+[[Category:Transcendental]]
 [[Category:Pages with Scala files]]
-[[Category:theory]]
-[[Category:transcendental]]