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I ForgetIn theory most instruments look like a pile of integer harmonics through a filter, right? And chords are consonant when parts play in small integer ratios—harmonics of some shared lower chord root. In some sense chord harmonics form a subfield of the rationals.12edo tempers out intervals to 2^{1/12} semitones. So do we get anything musically if we analyze ed harmonies as subsets of field extensions, like Q(2^{1/12}) for 12edo?How do different field extensions *sound*?<a href="https://signs.codes/tags/microtonal" class="mention hashtag" rel="nofollow noopener" target="_blank">#microtonal</a> <a href="https://signs.codes/tags/algebra" class="mention hashtag" rel="nofollow noopener" target="_blank">#algebra</a>

I ForgetIs there a <a href="https://signs.codes/tags/microtonal" class="mention hashtag" rel="nofollow noopener" target="_blank">#microtonal</a> <a href="https://signs.codes/tags/MusicTheory" class="mention hashtag" rel="nofollow noopener" target="_blank">#MusicTheory</a> community on fedi? I'm looking for resources for ear training and building musical intuitions around temperaments generally, but also math like what number theory sounds like.Boosts appreciated, especially into the kinds of math/music/autism communities where the phrase "what number theory sounds like" doesn't seem all that strange.

7:4drones, not drones sine tones, not sine tones mostly electronic music<a href="https://davidbeardsley.bandcamp.com/album/odyssey-incandescent-tales-of-the-past" rel="nofollow noopener" translate="no" target="_blank">https://davidbeardsley.bandcamp.com/album/odyssey-incandescent-tales-of-the-past</a> music slow music microtonal music ambient music minimalism full digital discography 50% off<a href="https://mastodon.social/tags/microtonal" class="mention hashtag" rel="nofollow noopener" target="_blank">#microtonal</a> <a href="https://mastodon.social/tags/justintonation" class="mention hashtag" rel="nofollow noopener" target="_blank">#justintonation</a> <a href="https://mastodon.social/tags/ambient" class="mention hashtag" rel="nofollow noopener" target="_blank">#ambient</a>

BC BY-NC-SAdatewithdeath vs. Steve Flato – Yielding Wren (feat. Vanessa Rossetto) (DPFA Remix) <a href="https://mastodon.social/tags/Electronic" class="mention hashtag" rel="nofollow noopener" target="_blank">#Electronic</a> <a href="https://mastodon.social/tags/dub" class="mention hashtag" rel="nofollow noopener" target="_blank">#dub</a> <a href="https://mastodon.social/tags/electroacoustic" class="mention hashtag" rel="nofollow noopener" target="_blank">#electroacoustic</a> <a href="https://mastodon.social/tags/experimental" class="mention hashtag" rel="nofollow noopener" target="_blank">#experimental</a> <a href="https://mastodon.social/tags/fieldrecording" class="mention hashtag" rel="nofollow noopener" target="_blank">#fieldrecording</a> <a href="https://mastodon.social/tags/folklore" class="mention hashtag" rel="nofollow noopener" target="_blank">#folklore</a> <a href="https://mastodon.social/tags/hiphop" class="mention hashtag" rel="nofollow noopener" target="_blank">#hiphop</a> <a href="https://mastodon.social/tags/memory" class="mention hashtag" rel="nofollow noopener" target="_blank">#memory</a> <a href="https://mastodon.social/tags/microtonal" class="mention hashtag" rel="nofollow noopener" target="_blank">#microtonal</a> <a href="https://mastodon.social/tags/musiqueconcr%C3%A8te" class="mention hashtag" rel="nofollow noopener" target="_blank">#musiqueconcrète</a> <a href="https://mastodon.social/tags/poetry" class="mention hashtag" rel="nofollow noopener" target="_blank">#poetry</a> <a href="https://mastodon.social/tags/techno" class="mention hashtag" rel="nofollow noopener" target="_blank">#techno</a> <a href="https://mastodon.social/tags/StAugustine" class="mention hashtag" rel="nofollow noopener" target="_blank">#StAugustine</a> CC BY-NC-SA (<a href="https://mastodon.social/tags/CreativeCommons" class="mention hashtag" rel="nofollow noopener" target="_blank">#CreativeCommons</a> Attribution Non Commercial Share Alike) <a href="https://mastodon.social/tags/ccmusic" class="mention hashtag" rel="nofollow noopener" target="_blank">#ccmusic</a> <a href="https://povertyelectronics.bandcamp.com/album/yielding-wren-feat-vanessa-rossetto-dpfa-remix" rel="nofollow noopener" translate="no" target="_blank">https://povertyelectronics.bandcamp.com/album/yielding-wren-feat-vanessa-rossetto-dpfa-remix</a>

7:4just like early electronic music, sine tones.<a href="https://davidbeardsley.bandcamp.com/album/odyssey-incandescent-tales-of-the-past" rel="nofollow noopener" translate="no" target="_blank">https://davidbeardsley.bandcamp.com/album/odyssey-incandescent-tales-of-the-past</a>music slow music microtonal music ambient music minimalism full digital discography 50% off<a href="https://mastodon.social/tags/microtonal" class="mention hashtag" rel="nofollow noopener" target="_blank">#microtonal</a> <a href="https://mastodon.social/tags/justintonation" class="mention hashtag" rel="nofollow noopener" target="_blank">#justintonation</a> <a href="https://mastodon.social/tags/ambient" class="mention hashtag" rel="nofollow noopener" target="_blank">#ambient</a>

7:4just like early electronic music...Bandcamp Fri, August 1, 2025davidbeardsley.bandcamp.commusic slow music microtonal music ambient music minimalism full digital discography 50% off<a href="https://mastodon.social/tags/microtonal" class="mention hashtag" rel="nofollow noopener" target="_blank">#microtonal</a> <a href="https://mastodon.social/tags/justintonation" class="mention hashtag" rel="nofollow noopener" target="_blank">#justintonation</a> <a href="https://mastodon.social/tags/ambient" class="mention hashtag" rel="nofollow noopener" target="_blank">#ambient</a>

7:4just like early electronic music...we use sine tones....incoming Bandcamp Fri, August 1, 2025<a href="https://davidbeardsley.bandcamp.com/" rel="nofollow noopener" translate="no" target="_blank">https://davidbeardsley.bandcamp.com/</a>music slow music microtonal music ambient music minimalism full digital discography 50% off<a href="https://mastodon.social/tags/microtonal" class="mention hashtag" rel="nofollow noopener" target="_blank">#microtonal</a> <a href="https://mastodon.social/tags/justintonation" class="mention hashtag" rel="nofollow noopener" target="_blank">#justintonation</a> <a href="https://mastodon.social/tags/ambient" class="mention hashtag" rel="nofollow noopener" target="_blank">#ambient</a>

7:4just like early electronic music...sine tones....incoming Bandcamp Fri, August 1, 2025<a href="https://davidbeardsley.bandcamp.com/album/odyssey-incandescent-tales-of-the-past" rel="nofollow noopener" translate="no" target="_blank">https://davidbeardsley.bandcamp.com/album/odyssey-incandescent-tales-of-the-past</a> music slow music microtonal music ambient music minimalism50% off the full digital discography<a href="https://mastodon.social/tags/microtonal" class="mention hashtag" rel="nofollow noopener" target="_blank">#microtonal</a> <a href="https://mastodon.social/tags/justintonation" class="mention hashtag" rel="nofollow noopener" target="_blank">#justintonation</a> <a href="https://mastodon.social/tags/ambient" class="mention hashtag" rel="nofollow noopener" target="_blank">#ambient</a>

icasticoThis morning's <a href="https://c.im/tags/workout" class="mention hashtag" rel="nofollow noopener" target="_blank">#workout</a> <a href="https://c.im/tags/music" class="mention hashtag" rel="nofollow noopener" target="_blank">#music</a> is from Maddie Ashman doing some delicate <a href="https://c.im/tags/songs" class="mention hashtag" rel="nofollow noopener" target="_blank">#songs</a>. <a href="https://youtu.be/Fs7v-q6AKRg" rel="nofollow noopener" translate="no" target="_blank">https://youtu.be/Fs7v-q6AKRg</a> <a href="https://c.im/tags/folk" class="mention hashtag" rel="nofollow noopener" target="_blank">#folk</a> <a href="https://c.im/tags/WomenInMusic" class="mention hashtag" rel="nofollow noopener" target="_blank">#WomenInMusic</a> <a href="https://c.im/tags/acoustic" class="mention hashtag" rel="nofollow noopener" target="_blank">#acoustic</a> <a href="https://c.im/tags/microtonal" class="mention hashtag" rel="nofollow noopener" target="_blank">#microtonal</a> <a href="https://c.im/tags/Calisthenics" class="mention hashtag" rel="nofollow noopener" target="_blank">#Calisthenics</a> Also in the mix is King Buffalo with something much less delicate <a href="https://youtu.be/lV1TrgJcKxA" rel="nofollow noopener" translate="no" target="_blank">https://youtu.be/lV1TrgJcKxA</a> <a href="https://c.im/tags/HeavyMetal" class="mention hashtag" rel="nofollow noopener" target="_blank">#HeavyMetal</a> <a href="https://c.im/tags/KettleBells" class="mention hashtag" rel="nofollow noopener" target="_blank">#KettleBells</a>

7:4just like early electronic music...sine tones.<a href="https://davidbeardsley.bandcamp.com/album/odyssey-incandescent-tales-of-the-past" rel="nofollow noopener" translate="no" target="_blank">https://davidbeardsley.bandcamp.com/album/odyssey-incandescent-tales-of-the-past</a> music slow music microtonal music ambient music minimalism<a href="https://mastodon.social/tags/microtonal" class="mention hashtag" rel="nofollow noopener" target="_blank">#microtonal</a> <a href="https://mastodon.social/tags/justintonation" class="mention hashtag" rel="nofollow noopener" target="_blank">#justintonation</a> <a href="https://mastodon.social/tags/ambient" class="mention hashtag" rel="nofollow noopener" target="_blank">#ambient</a>

7:4<a href="https://davidbeardsley.bandcamp.com/album/odyssey-incandescent-tales-of-the-past" rel="nofollow noopener" translate="no" target="_blank">https://davidbeardsley.bandcamp.com/album/odyssey-incandescent-tales-of-the-past</a>music slow music microtonal music ambient music minimalism<a href="https://mastodon.social/tags/microtonal" class="mention hashtag" rel="nofollow noopener" target="_blank">#microtonal</a> <a href="https://mastodon.social/tags/justintonation" class="mention hashtag" rel="nofollow noopener" target="_blank">#justintonation</a> <a href="https://mastodon.social/tags/ambient" class="mention hashtag" rel="nofollow noopener" target="_blank">#ambient</a>

7:4new thing<a href="https://davidbeardsley.bandcamp.com/album/odyssey-incandescent-tales-of-the-past" rel="nofollow noopener" translate="no" target="_blank">https://davidbeardsley.bandcamp.com/album/odyssey-incandescent-tales-of-the-past</a>No Bandcamp Friday until August 2025, but don't let holidays stop you from checking out this new album and supporting the starving artist...bills to pay!odyssey incandescent tales of the past, recent improvisations in 17 limit <a href="https://mastodon.social/tags/JustIntonation" class="mention hashtag" rel="nofollow noopener" target="_blank">#JustIntonation</a>. Life has always been an odyssey, even more in these times. Thanks for listening.<a href="https://mastodon.social/tags/microtonal" class="mention hashtag" rel="nofollow noopener" target="_blank">#microtonal</a>

gndHere's a couple of video snippets from a show yesterday. Daniel Fishkin plays a daxophone, Kriton Beyer on harmonium and various objects, and Ganesh Anandan on metallophones.<a href="https://photos.app.goo.gl/5KxvenGaAZSPMT4p6" rel="nofollow noopener" translate="no" target="_blank">https://photos.app.goo.gl/5KxvenGaAZSPMT4p6</a><a href="https://merveilles.town/tags/daxophone" class="mention hashtag" rel="nofollow noopener" target="_blank">#daxophone</a> <a href="https://merveilles.town/tags/harmonium" class="mention hashtag" rel="nofollow noopener" target="_blank">#harmonium</a> <a href="https://merveilles.town/tags/metallophone" class="mention hashtag" rel="nofollow noopener" target="_blank">#metallophone</a> <a href="https://merveilles.town/tags/diyinstrument" class="mention hashtag" rel="nofollow noopener" target="_blank">#diyinstrument</a> <a href="https://merveilles.town/tags/music" class="mention hashtag" rel="nofollow noopener" target="_blank">#music</a> <a href="https://merveilles.town/tags/microtonal" class="mention hashtag" rel="nofollow noopener" target="_blank">#microtonal</a> <a href="https://merveilles.town/tags/echtzeitmusik" class="mention hashtag" rel="nofollow noopener" target="_blank">#echtzeitmusik</a>

FreqCatherine Lamb x Ghost Ensemble – Interius / Exterius <a href="https://kolektiva.social/@Hakarl" class="u-url mention" rel="nofollow noopener" target="_blank">@Hakarl</a>: The clouds of complex <a href="https://mastodon.social/tags/microtonal" class="mention hashtag" rel="nofollow noopener" target="_blank">#microtonal</a> chords in "I" could sit on their own .. while there's definitely lines that you'd maybe call monodic lines (that is, single notes), they're effervescent enough to never quite land like melody. If it's not clear, this is a lovely effect. <a href="https://mastodon.social/tags/musicreview" class="mention hashtag" rel="nofollow noopener" target="_blank">#musicreview</a> <a href="https://mastodon.social/tags/avantgarde" class="mention hashtag" rel="nofollow noopener" target="_blank">#avantgarde</a> <a href="https://mastodon.social/tags/spectralism" class="mention hashtag" rel="nofollow noopener" target="_blank">#spectralism</a> <a href="https://mastodon.social/tags/composition" class="mention hashtag" rel="nofollow noopener" target="_blank">#composition</a> <a href="https://freq.org.uk/reviews/catherine-lamb-x-ghost-ensemble-interius-exterius/" rel="nofollow noopener" translate="no" target="_blank">https://freq.org.uk/reviews/catherine-lamb-x-ghost-ensemble-interius-exterius/</a>

Maurice RickardKinda feeling <a href="https://mastodon.social/tags/microtonal" class="mention hashtag" rel="nofollow noopener" target="_blank">#microtonal</a> tonight!

BC BY-NC-SAKenneth Kirschner – July 27, 2022 <a href="https://mastodon.social/tags/Classical" class="mention hashtag" rel="nofollow noopener" target="_blank">#Classical</a> <a href="https://mastodon.social/tags/Experimental" class="mention hashtag" rel="nofollow noopener" target="_blank">#Experimental</a> <a href="https://mastodon.social/tags/ambient" class="mention hashtag" rel="nofollow noopener" target="_blank">#ambient</a> <a href="https://mastodon.social/tags/avantgarde" class="mention hashtag" rel="nofollow noopener" target="_blank">#avantgarde</a> <a href="https://mastodon.social/tags/composition" class="mention hashtag" rel="nofollow noopener" target="_blank">#composition</a> <a href="https://mastodon.social/tags/compositionalambient" class="mention hashtag" rel="nofollow noopener" target="_blank">#compositionalambient</a> <a href="https://mastodon.social/tags/contemporaryclassical" class="mention hashtag" rel="nofollow noopener" target="_blank">#contemporaryclassical</a> <a href="https://mastodon.social/tags/microtonal" class="mention hashtag" rel="nofollow noopener" target="_blank">#microtonal</a> <a href="https://mastodon.social/tags/minimalism" class="mention hashtag" rel="nofollow noopener" target="_blank">#minimalism</a> <a href="https://mastodon.social/tags/modernclassical" class="mention hashtag" rel="nofollow noopener" target="_blank">#modernclassical</a> <a href="https://mastodon.social/tags/pianosolo" class="mention hashtag" rel="nofollow noopener" target="_blank">#pianosolo</a> <a href="https://mastodon.social/tags/NewYork" class="mention hashtag" rel="nofollow noopener" target="_blank">#NewYork</a> CC BY-NC (<a href="https://mastodon.social/tags/CreativeCommons" class="mention hashtag" rel="nofollow noopener" target="_blank">#CreativeCommons</a> Attribution Non Commercial) <a href="https://mastodon.social/tags/ccmusic" class="mention hashtag" rel="nofollow noopener" target="_blank">#ccmusic</a> <a href="https://kennethkirschner.bandcamp.com/album/july-27-2022" rel="nofollow noopener" translate="no" target="_blank">https://kennethkirschner.bandcamp.com/album/july-27-2022</a>

7:4Here are freebe codes for one of my comps on Bandcamp. Lemie know how it works.<a href="https://davidbeardsley.bandcamp.com/album/technicolor-midnight" rel="nofollow noopener" translate="no" target="_blank">https://davidbeardsley.bandcamp.com/album/technicolor-midnight</a>ayy4-wh9p jk7v-66cd 7n57-kk4c xw8a-gkjw 4jzb-79zs 4f25-59kl 4dl9-7tzj chpz-5nkk ecfu-7e69 gsdx-vu8z t4hp-6576 tecb-gfpk v7ky-xs58 6m3z-jd22 krvz-kdwh nvbk-6hd5 lgvu-kvsr qtfa-6kcd buab-694c ww95-y9jw<a href="https://mastodon.social/tags/microtonal" class="mention hashtag" rel="nofollow noopener" target="_blank">#microtonal</a> <a href="https://mastodon.social/tags/microtones" class="mention hashtag" rel="nofollow noopener" target="_blank">#microtones</a> <a href="https://mastodon.social/tags/justintonation" class="mention hashtag" rel="nofollow noopener" target="_blank">#justintonation</a> <a href="https://mastodon.social/tags/xenharmonic" class="mention hashtag" rel="nofollow noopener" target="_blank">#xenharmonic</a> <a href="https://mastodon.social/tags/ambientmusic" class="mention hashtag" rel="nofollow noopener" target="_blank">#ambientmusic</a>