In [[17-limit]] [[Just Intonation]], 17/15 is the "septendecimal whole tone" measuring about 216.7¢. It is the [[mediant]] between [[9_8|9/8]] and [[8_7|8/7]], as it is (9+8)/(8+7). It is found in the [[OverToneSeries|harmonic series]] between the 17th and 15th overtones. [[11edo]]'s second degree, measuring approximately 218.2¢, is close in size to 17/15 -- indeed, the 11edo system has excellent approximations of the 15th and 17th harmonics, and so this harmonic function is plausible in 11edo.
In [[17-limit|17-limit]] [[Just_intonation|Just Intonation]], 17/15 is the "septendecimal whole tone" measuring about 216.7¢. It is the [[mediant|mediant]] between [[9/8|9/8]] and [[8/7|8/7]], as it is (9+8)/(8+7). It is found in the [[OverToneSeries|harmonic series]] between the 17th and 15th overtones. [[11edo|11edo]]'s second degree, measuring approximately 218.2¢, is close in size to 17/15 -- indeed, the 11edo system has excellent approximations of the 15th and 17th harmonics, and so this harmonic function is plausible in 11edo.
√2/(17/15) is three cents flat of a 5/4 major third, and this or 17/15 itself can be used for a tuning for wizard and its various relatives (lizard, gizzard, etc.).
√2/(17/15) is three cents flat of a 5/4 major third, and this or 17/15 itself can be used for a tuning for wizard and its various relatives (lizard, gizzard, etc.).
See: [[Gallery of Just Intervals]]</pre></div>
See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]] [[Category:17-limit]]
In <a class="wiki_link" href="/17-limit">17-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 17/15 is the &quot;septendecimal whole tone&quot; measuring about 216.7¢. It is the <a class="wiki_link" href="/mediant">mediant</a> between <a class="wiki_link" href="/9_8">9/8</a> and <a class="wiki_link" href="/8_7">8/7</a>, as it is (9+8)/(8+7). It is found in the <a class="wiki_link" href="/OverToneSeries">harmonic series</a> between the 17th and 15th overtones. <a class="wiki_link" href="/11edo">11edo</a>'s second degree, measuring approximately 218.2¢, is close in size to 17/15 -- indeed, the 11edo system has excellent approximations of the 15th and 17th harmonics, and so this harmonic function is plausible in 11edo.<br />
<br />
√2/(17/15) is three cents flat of a 5/4 major third, and this or 17/15 itself can be used for a tuning for wizard and its various relatives (lizard, gizzard, etc.).<br />
<br />
See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html></pre></div>
In 17-limitJust Intonation, 17/15 is the "septendecimal whole tone" measuring about 216.7¢. It is the mediant between 9/8 and 8/7, as it is (9+8)/(8+7). It is found in the harmonic series between the 17th and 15th overtones. 11edo's second degree, measuring approximately 218.2¢, is close in size to 17/15 -- indeed, the 11edo system has excellent approximations of the 15th and 17th harmonics, and so this harmonic function is plausible in 11edo.
√2/(17/15) is three cents flat of a 5/4 major third, and this or 17/15 itself can be used for a tuning for wizard and its various relatives (lizard, gizzard, etc.).