Prime harmonic series: Difference between revisions
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<span style="font-size: 90%;">Because the lowest partial is 17, there are no familiar lower prime limit intervals like octaves (2/1), fifths (3/2), thirds (5/4), etc. Nevertheless, some intervals between higher primes approximate the lower prime limit intervals (e.g. 61/31 is very close to an octave), without of course reproducing them exactly." [http://users.rcn.com/dante.interport//justguitar.html (original page source)]</span> | <span style="font-size: 90%;">Because the lowest partial is 17, there are no familiar lower prime limit intervals like octaves (2/1), fifths (3/2), thirds (5/4), etc. Nevertheless, some intervals between higher primes approximate the lower prime limit intervals (e.g. 61/31 is very close to an octave), without of course reproducing them exactly." [http://users.rcn.com/dante.interport//justguitar.html (original page source)]</span> | ||
<span style="font-size: 90%;">[http://www.youtube.com/watch?v=tP9iafbjlOw "Tarkovsky's Mirror" for prime guitar by Dante Rosati]</span> | <span style="font-size: 90%;">[http://www.youtube.com/watch?v=tP9iafbjlOw "Tarkovsky's Mirror" for prime guitar by Dante Rosati]</span> | ||
{| class="wikitable" | |||
|+prime harmonics through the 6th octave of the harmonic series | |||
|'''prime harmonic''' | |||
|'''cents (octave reduced)''' | |||
|'''sorted''' | |||
|'''delta''' | |||
|- | |||
|2 | |||
|0 | |||
|0 | |||
|104.9554095 | |||
|- | |||
|3 | |||
|701.9550009 | |||
|104.9554095 | |||
|146.3886293 | |||
|- | |||
|5 | |||
|386.3137139 | |||
|251.3440388 | |||
|46.16897738 | |||
|- | |||
|7 | |||
|968.8259065 | |||
|297.5130161 | |||
|88.80069773 | |||
|- | |||
|11 | |||
|551.3179424 | |||
|386.3137139 | |||
|42.74869168 | |||
|- | |||
|13 | |||
|840.5276618 | |||
|429.0624055 | |||
|82.4553001 | |||
|- | |||
|17 | |||
|104.9554095 | |||
|511.5177056 | |||
|39.80023672 | |||
|- | |||
|19 | |||
|297.5130161 | |||
|551.3179424 | |||
|76.9564049 | |||
|- | |||
|23 | |||
|628.2743473 | |||
|628.2743473 | |||
|37.23227474 | |||
|- | |||
|29 | |||
|1029.577194 | |||
|665.506622 | |||
|36.44837885 | |||
|- | |||
|31 | |||
|1145.035572 | |||
|701.9550009 | |||
|138.5726609 | |||
|- | |||
|37 | |||
|251.3440388 | |||
|840.5276618 | |||
|32.97688371 | |||
|- | |||
|41 | |||
|429.0624055 | |||
|873.5045455 | |||
|95.32136099 | |||
|- | |||
|43 | |||
|511.5177056 | |||
|968.8259065 | |||
|60.75128768 | |||
|- | |||
|47 | |||
|665.506622 | |||
|1029.577194 | |||
|29.59446508 | |||
|- | |||
|53 | |||
|873.5045455 | |||
|1059.171659 | |||
|57.71314584 | |||
|- | |||
|59 | |||
|1059.171659 | |||
|1116.884805 | |||
|28.15076739 | |||
|- | |||
|61 | |||
|1116.884805 | |||
|1145.035572 | |||
|54.964428 | |||
|} | |||
[[Category:harmonic_series]] | |||
[[Category:intervals]] | [[Category:intervals]] | ||
[[Category:just]] | [[Category:just]] | ||
[[Category:prime]] | [[Category:prime]] | ||
[[Category:theory]] | [[Category:theory]] | ||