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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | {{Infobox Interval |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | | Name = septimal narrow major third, marvel-ptolemaic major third, aberschismic diminished fourth |
| : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-02-12 12:38:45 UTC</tt>.<br>
| | | Color name = zg4, zogu 4th |
| : The original revision id was <tt>300941366</tt>.<br>
| | | Sound = jid_56_45_pluck_adu_dr220.mp3 |
| : The revision comment was: <tt></tt><br>
| | }} |
| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
| | '''56/45''', conventionally known as the '''septimal narrow major third''' or '''marvel-ptolemaic major third''', is flat of the [[81/64|Pythagorean major third]] by [[3645/3584]], namely a [[81/80|syntonic comma]] plus a [[225/224|marvel comma]]. However, it functions more commonly as a diminished fourth, flat of the [[8192/6561|Pythagorean diminished fourth]] by an [[aberschisma]]. This gives rise to the more precise name '''aberschismic diminished fourth''', and in fact it arises as the interval between various [[9-odd-limit]] consonances – between [[5/4]] and [[14/9]], between [[9/7]] and [[8/5]], between [[9/8]] and [[7/5]], and between [[10/7]] and [[16/9]] – with it also being [[6/5]] away from the marvelous fifth, [[112/75]]. |
| <h4>Original Wikitext content:</h4>
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| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">According to Ozan Yarman, the perde segah of Turkish maqam music should range from **56/45**, which is flatter than [[5_4|5/4]] by the [[septimal kleisma]] of [[225_224|225/224]], and 5/4. 56/45 is the interval between various 9-limit consonances: 5/4 and 14/9, 9/7 and 8/5, 9/8 and 7/5 and 10/7 and 16/9. [[Marvel]] tempering makes all of these intervals into major thirds like any other, and turns chords like
| | According to [[Ozan Yarman]], the perde segah of [[Arabic, Turkish, Persian music|Turkish maqam music]] should range from 56/45 to 5/4. |
| 1-5/4-8/5 or 1-5/4-14/9 into [[Dyadic chord|essentially tempered dyadic chords]].</pre></div>
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| <h4>Original HTML content:</h4>
| | == Temperaments == |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>56_45</title></head><body>According to Ozan Yarman, the perde segah of Turkish maqam music should range from <strong>56/45</strong>, which is flatter than <a class="wiki_link" href="/5_4">5/4</a> by the <a class="wiki_link" href="/septimal%20kleisma">septimal kleisma</a> of <a class="wiki_link" href="/225_224">225/224</a>, and 5/4. 56/45 is the interval between various 9-limit consonances: 5/4 and 14/9, 9/7 and 8/5, 9/8 and 7/5 and 10/7 and 16/9. <a class="wiki_link" href="/Marvel">Marvel</a> tempering makes all of these intervals into major thirds like any other, and turns chords like <br />
| | [[Marvel]] tempering equates this interval with the [[5/4|classical major third]] and turns chords like 1–5/4–8/5 or 1–5/4–14/9 into [[essentially tempered chord]]s. |
| 1-5/4-8/5 or 1-5/4-14/9 into <a class="wiki_link" href="/Dyadic%20chord">essentially tempered dyadic chords</a>.</body></html></pre></div>
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| | == Approximation == |
| | This interval is a third of a cent flatter than 6\19, the major third of [[19edo]]. |
| | |
| | {{Interval edo approximation|56/45}} |
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| | == See also == |
| | * [[45/28]] – its [[octave complement]] |
| | * [[135/112]] – its [[fifth complement]] |
| | * [[Gallery of just intervals]] |
| | |
| | [[Category:Third]] |
| | [[Category:Major third]] |
| | [[Category:Fourth]] |
| | [[Category:Diminished fourth]] |
| | [[Category:Aberschismic]] |