User:Userminusone/Userminusone's 11 limit 15 tone scale: Difference between revisions
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[[File:Userminusone15scalelattice.jpg|frameless|A lattice showing the structure of this scale|400px]] [[File:Userminusone15scalecolornames.jpg|frameless|A closer look at the note names, including their corresponding ratios|400x400px|alt=]] | [[File:Userminusone15scalelattice.jpg|frameless|A lattice showing the structure of this scale|400px]] [[File:Userminusone15scalecolornames.jpg|frameless|A closer look at the note names, including their corresponding ratios|400x400px|alt=]] | ||
This scale has 9 just perfect fifths, 5 just major thirds, 6 harmonic sevenths, and 5 11-limit superfourths. One interesting thing about this scale is that it has 3 chains of pseudo-5edo that only contain perfect fifths and harmonic sevenths. (This subset scale is 1/1, 9/8, 21/16, 3/2, 7/4, 2/1 or the chord 16:18:21:24:28:32.) In the same way that 15edo could be used as 5edo with a few extra ornamental notes, this scale could be used as pseudo-5edo with occasional 5-limit and 11-limit melodies/harmonies | This scale has 9 just perfect fifths, 5 just major thirds, 6 harmonic sevenths, and 5 11-limit superfourths. One interesting thing about this scale is that it has 3 chains of pseudo-5edo that only contain perfect fifths and harmonic sevenths. (This subset scale is 1/1, 9/8, 21/16, 3/2, 7/4, 2/1 or the chord 16:18:21:24:28:32.) In the same way that 15edo could be used as 5edo with a few extra ornamental notes, this scale could be used as pseudo-5edo with occasional 5-limit and 11-limit melodies/harmonies. | ||
==Links== | ==Links== | ||
[https://sevish.com/scaleworkshop/?data=33%2F32%0A35%2F32%0A9%2F8%0A77%2F64%0A5%2F4%0A21%2F16%0A11%2F8%0A45%2F32%0A3%2F2%0A99%2F64%0A105%2F64%0A7%2F4%0A231%2F128%0A15%2F8%0A2%2F1&freq=130.812783&midi=48&vert=-2&horiz=3&colors=white%20black%20white%20white%20black%20white%20black%20white%20white%20black%20white%20black&waveform=triangle&env=organ Play along with Scale Workshop] | |||
[http://terpstrakeyboard.com/web-app/keys.htm?fundamental=261.626&right=3&upright=1&size=30&rotation=0&instrument=piano&enum=false&equivSteps=31&spectrum_colors=false&fundamental_color=55FF55&no_labels=false&scale=33%2F32%0A35%2F32%0A9%2F8%0A77%2F64%0A5%2F4%0A21%2F16%0A11%2F8%0A45%2F32%0A3%2F2%0A99%2F64%0A105%2F64%0A7%2F4%0A231%2F128%0A15%2F8%0A2%2F1&names=C%0AC%0AD%0AD%0AEb%0AE%0AF%0AF%0AF%23%0AG%0AG%0AA%0ABb%0ABb%0AB¬e_colors=ffffff%0Aff60c0%0A50b0ff%0Affffff%0A9030ff%0Affd000%0A5050ff%0Aff60c0%0Affd000%0Affffff%0Aff60c0%0A50b0ff%0A5050ff%0A9030ff%0Affd000 Play along with Terpstra Keyboard] | [http://terpstrakeyboard.com/web-app/keys.htm?fundamental=261.626&right=3&upright=1&size=30&rotation=0&instrument=piano&enum=false&equivSteps=31&spectrum_colors=false&fundamental_color=55FF55&no_labels=false&scale=33%2F32%0A35%2F32%0A9%2F8%0A77%2F64%0A5%2F4%0A21%2F16%0A11%2F8%0A45%2F32%0A3%2F2%0A99%2F64%0A105%2F64%0A7%2F4%0A231%2F128%0A15%2F8%0A2%2F1&names=C%0AC%0AD%0AD%0AEb%0AE%0AF%0AF%0AF%23%0AG%0AG%0AA%0ABb%0ABb%0AB¬e_colors=ffffff%0Aff60c0%0A50b0ff%0Affffff%0A9030ff%0Affd000%0A5050ff%0Aff60c0%0Affd000%0Affffff%0Aff60c0%0A50b0ff%0A5050ff%0A9030ff%0Affd000 Play along with Terpstra Keyboard] | ||
Latest revision as of 22:15, 4 November 2021
33/32 35/32 9/8 77/64 5/4 21/16 11/8 45/32 3/2 99/64 105/64 7/4 231/128 15/8 2/1
This scale only uses harmonics of the fundamental up to the 11 prime limit. It can be interpreted as the chord 128:132:140:144:154:160:168:176:180:192:198:210:224:231:240:256.
Details about scale structure
This scale has 9 just perfect fifths, 5 just major thirds, 6 harmonic sevenths, and 5 11-limit superfourths. One interesting thing about this scale is that it has 3 chains of pseudo-5edo that only contain perfect fifths and harmonic sevenths. (This subset scale is 1/1, 9/8, 21/16, 3/2, 7/4, 2/1 or the chord 16:18:21:24:28:32.) In the same way that 15edo could be used as 5edo with a few extra ornamental notes, this scale could be used as pseudo-5edo with occasional 5-limit and 11-limit melodies/harmonies.
Links
Play along with Scale Workshop
Play along with Terpstra Keyboard