User:Lucius Chiaraviglio/Musical Mad Science: Difference between revisions

Fix section titles so that links to them will be less likely broken
Musical Mad Science Musings on Diatonicized Chromaticism: Things I'd like to see on the 11L 2s page itself
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The comma |-33 -1 0 0 10⟩ (11.224¢) equates a stack of ten 11/8 (octave-reduced) to 3/2.  However, this only gives the patent fifth in more or less the range 35EDO to 37EDO.  For 50EDO (as noted above) it gives the Blackwood (pentatonic) fifth; while for 46EDO it gives the 23EDO flat fifth.  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 11:04, 16 February 2025 (UTC) Edited [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 11:06, 16 February 2025 (UTC)
The comma |-33 -1 0 0 10⟩ (11.224¢) equates a stack of ten 11/8 (octave-reduced) to 3/2.  However, this only gives the patent fifth in more or less the range 35EDO to 37EDO.  For 50EDO (as noted above) it gives the Blackwood (pentatonic) fifth; while for 46EDO it gives the 23EDO flat fifth.  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 11:04, 16 February 2025 (UTC) Edited [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 11:06, 16 February 2025 (UTC)
=== Rationale for leaving some of this on the Talk:11L 2s page ===
{{Todo|complete section|inline=1|text=Need comma for back-extension to 5th harmonic and maybe back extension to 7th harmonic}}
Even after the above gets its own space on a temperament page (if that ever happens), something I would like to see (but have no way to generate myself) on the 11L 2s page would be a musical samples akin to what [[5L_3s#Samples|the 5L 3s page has for musical samples]].  Ivan Wyschnegradsky wrote a considerable volume of diatonicized chromatic music, including ''Préludes dans tous les tons de l'échelle chromatique diatonisée à 13 sons'' (24), for 2 pianos in quarter tones, Op. 22 (1934, rev. 1960).  If a short one of these works (such as one or two of the ''Preludes'') could be gotten in MIDI form and processed through a synthesizer with a high-quality piano emulation in various tuning systems (as noted in the temperament discussion above), this would provide an excellent Musical Samples section for this page.  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 09:29, 18 March 2025 (UTC)