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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | {{Infobox ET}} |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | '''18edt''' is the division of the tritave into 18 equal parts of size 105.664 cents each. It has a decent 7 and an excellent 13, but a 5 which is 39 cents flat; if octaves were added and it was a sixth, it would count as a neutral sixth. The corresponding 5/3 is 845 cents, which is a neutral sixth between 8/5 and 5/3, which is really more of a 13/8, though this is allegedly a no-twos tuning. With octaves added, it also has a minor third and a major tenth which are both excellent as well as a minor thirteenth and major seventeenth which are still decent even though it skips actual octaves (in fact it is the non-octave semitone scale of 34edo). On the 3.7.13 subgroup it tempers out 351/343 and 2197/2187. |
| : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-09-12 00:19:55 UTC</tt>.<br>
| | |
| : The original revision id was <tt>591640904</tt>.<br>
| | == Temperaments == |
| : The revision comment was: <tt></tt><br>
| | As the double of [[9edt]], it is the analog of 14edo insofar if treating as it has a doubled harmonic chain. However, it, like [[8edt]], is not schismatic because 3:5:7 is a redundant chord. As a multiple of 9edt, it is the widest variety of 'White-Extraterrestrial-Tree' temperament. |
| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
| | |
| <h4>Original Wikitext content:</h4>
| | 18edt can also be used for the [[Electra]] temperament based on [[15/11]], although in this case its approximation to [[13/11]] is very sharp. |
| <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">18edt means the division of the tritave into 18 equal parts <span style="background-color: rgba(255,255,255,0);">of size 105.664 cents each. It has a decent 7 and an excellent 13, but a 5 which is 39 cents flat; if octaves were added and it was a sixth, it would count as a neutral sixth. The corresponding 5/3 is 845 cents, which is a neutral sixth between 8/5 and 5/3, which is really more of a 13/8, though this is allegedly a no-twos tuning. With octaves added, it also has a minor third and a major tenth which are both excellent as well as a minor thirteenth and major seventeenth which are still decent even though it skips actual octaves (in fact it is the non-octave semitone scale of 34edo). On the 3.7.13 subgroup it tempers out 351/343 and 2197/2187.</span>
| | == Intervals == |
| <span style="background-color: rgba(255,255,255,0);">As the double of [[@9edt]], it is the analog of 14edo insofar as it has a doubled harmonic chain. However, it, like [[@8edt]], is not schismatic because 3:5:7 is a redundant chord. As a multiple of 9edt, it is the widest variety of 'White-Extraterrestrial-Tree' temperament.</span></pre></div>
| | {| class="wikitable" |
| <h4>Original HTML content:</h4>
| | ! Step |
| <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>18edt</title></head><body>18edt means the division of the tritave into 18 equal parts <span style="background-color: rgba(255,255,255,0);">of size 105.664 cents each. It has a decent 7 and an excellent 13, but a 5 which is 39 cents flat; if octaves were added and it was a sixth, it would count as a neutral sixth. The corresponding 5/3 is 845 cents, which is a neutral sixth between 8/5 and 5/3, which is really more of a 13/8, though this is allegedly a no-twos tuning. With octaves added, it also has a minor third and a major tenth which are both excellent as well as a minor thirteenth and major seventeenth which are still decent even though it skips actual octaves (in fact it is the non-octave semitone scale of 34edo). On the 3.7.13 subgroup it tempers out 351/343 and 2197/2187.</span><br />
| | ! Cents |
| <span style="background-color: rgba(255,255,255,0);">As the double of <a class="wiki_link" href="/9edt" target="_blank">9edt</a>, it is the analog of 14edo insofar as it has a doubled harmonic chain. However, it, like <a class="wiki_link" href="/8edt" target="_blank">8edt</a>, is not schismatic because 3:5:7 is a redundant chord. As a multiple of 9edt, it is the widest variety of 'White-Extraterrestrial-Tree' temperament.</span></body></html></pre></div>
| | ! Hekts |
| | ! Approximated interval |
| | ! [[Electra]] notation (J = 1/1) |
| | |- |
| | ! colspan="3" | 0 |
| | | 1/1 |
| | | J |
| | |- |
| | | 1 |
| | | 105.664 |
| | |72.222 |
| | | 16/15 |
| | | J#, Kbb |
| | |- |
| | | 2 |
| | | 211.328 |
| | |144.444 |
| | | 9/8 |
| | | Jx, Kb |
| | |- |
| | | 3 |
| | | 316.993 |
| | |216.667 |
| | | 6/5 |
| | | K |
| | |- |
| | | 4 |
| | | 422.657 |
| | |288.889 |
| | | 9/7 |
| | | K#, Lb |
| | |- |
| | | 5 |
| | | 528.321 |
| | |361.111 |
| | | 27/20 |
| | | L |
| | |- |
| | | 6 |
| | | 633.985 |
| | |433.333 |
| | | 13/9 |
| | | L#, Mbb |
| | |- |
| | | 7 |
| | | 739.649 |
| | |505.556 |
| | | 17/13 |
| | | Lx, Mb |
| | |- |
| | | 8 |
| | | 845.313 |
| | |577.778 |
| | | 5/3 |
| | | M |
| | |- |
| | | 9 |
| | | 950.978 |
| | |650 |
| | | 19/11 |
| | | M#, Nbb |
| | |- |
| | | 10 |
| | | 1056.642 |
| | |722.222 |
| | | 9/5 |
| | | Mx, Nb |
| | |- |
| | | 11 |
| | | 1162.306 |
| | |794.444 |
| | | 49/25 |
| | | N |
| | |- |
| | | 12 |
| | | 1267.97 |
| | |866.667 |
| | | 27/13 |
| | | N#, Ob |
| | |- |
| | | 13 |
| | | 1373.634 |
| | |938.889 |
| | | 20/9 |
| | | O |
| | |- |
| | | 14 |
| | | 1479.298 |
| | |1011.111 |
| | | 7/3 |
| | | O#, Pbb |
| | |- |
| | | 15 |
| | | 1584.963 |
| | |1083.333 |
| | | 5/2 |
| | | Ox, Pb |
| | |- |
| | | 16 |
| | | 1690.627 |
| | |1155.556 |
| | | 8/3 |
| | | P |
| | |- |
| | | 17 |
| | | 1806.291 |
| | |1227.778 |
| | | 45/16 |
| | | P#, Jb |
| | |- |
| | | 18 |
| | | 1901.955 |
| | |1300 |
| | | 3/1 |
| | | J |
| | |} |
| | |
| | == Harmonics == |
| | {{Harmonics in equal |
| | | steps = 18 |
| | | num = 3 |
| | | denom = 1 |
| | | intervals = integer |
| | }} |
| | {{Harmonics in equal |
| | | steps = 18 |
| | | num = 3 |
| | | denom = 1 |
| | | start = 12 |
| | | collapsed = 1 |
| | | intervals = integer |
| | }} |
| | |
| | [[category:macrotonal]] |
| | [[category:tritave]] |