323/256: Difference between revisions
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Mark as mathematical interest. Infobox to the top. Expand on its relation to the Pyth. M3 |
Fix color name that is likely an error |
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{{Mathematical interest}} | {{Mathematical interest}} | ||
{{Infobox Interval | {{Infobox Interval | ||
| Color name = noso | | Color name = noso 3rd, 19o17o4 | ||
| Name = octave-reduced 323rd harmonic | | Name = octave-reduced 323rd harmonic | ||
}} | }} | ||
'''323/256''', or the '''octave-reduced 323rd harmonic''', is a [[19-limit]] major third that is close to the [[12edo]] major third. It is constructed by stacking [[17/16]] and [[19/16]], two JI intervals that approximate the 12edo minor second and minor third well, respectively. It is flat of the [[81/64|Pythagorean major third]] by [[324/323]]. | '''323/256''', or the '''octave-reduced 323rd harmonic''', is a [[19-limit]] major third that is close to the [[12edo]] major third. It is constructed by stacking [[17/16]] and [[19/16]], two JI intervals that approximate the 12edo minor second and minor third well, respectively. It is flat of the [[81/64|Pythagorean major third]] by [[324/323]]. | ||
Revision as of 06:07, 30 July 2026
| This page presents a topic of primarily mathematical interest.
While it is derived from sound mathematical principles, its applications in terms of utility for actual music may be limited, highly contrived, or as yet unknown. |
| Interval information |
reduced harmonic
323/256, or the octave-reduced 323rd harmonic, is a 19-limit major third that is close to the 12edo major third. It is constructed by stacking 17/16 and 19/16, two JI intervals that approximate the 12edo minor second and minor third well, respectively. It is flat of the Pythagorean major third by 324/323.