18edt
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author JosephRuhf and made on 2016-09-12 00:24:27 UTC.
- The original revision id was 591641042.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
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> <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> <span style="background-color: rgba(255,255,255,0);">0: 1/1</span> <span style="background-color: rgba(255,255,255,0);">1: 105.664 cents 16/15</span> <span style="background-color: rgba(255,255,255,0);">2: 211.328 cents 9/8</span> <span style="background-color: rgba(255,255,255,0);">4: 422.657 cents 9/7</span> <span style="background-color: rgba(255,255,255,0);">6: 633.985 cents 13/9</span> <span style="background-color: rgba(255,255,255,0);">8: 845.313 cents 5/3</span> <span style="background-color: rgba(255,255,255,0);">10: 1056.642 cents 9/5</span> <span style="background-color: rgba(255,255,255,0);">12: 1267.970 cents</span> <span style="background-color: rgba(255,255,255,0);">14: 1479.298 cents 7/3</span> <span style="background-color: rgba(255,255,255,0);">16: 1690.627 cents 8/3</span> <span style="background-color: rgba(255,255,255,0);">18: 3/1</span>
Original HTML content:
<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 /> <br /> <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><br /> <br /> <br /> <span style="background-color: rgba(255,255,255,0);">0: 1/1</span><br /> <br /> <span style="background-color: rgba(255,255,255,0);">1: 105.664 cents 16/15</span><br /> <span style="background-color: rgba(255,255,255,0);">2: 211.328 cents 9/8</span><br /> <br /> <span style="background-color: rgba(255,255,255,0);">4: 422.657 cents 9/7</span><br /> <br /> <span style="background-color: rgba(255,255,255,0);">6: 633.985 cents 13/9</span><br /> <br /> <span style="background-color: rgba(255,255,255,0);">8: 845.313 cents 5/3</span><br /> <br /> <span style="background-color: rgba(255,255,255,0);">10: 1056.642 cents 9/5</span><br /> <br /> <span style="background-color: rgba(255,255,255,0);">12: 1267.970 cents</span><br /> <br /> <span style="background-color: rgba(255,255,255,0);">14: 1479.298 cents 7/3</span><br /> <br /> <span style="background-color: rgba(255,255,255,0);">16: 1690.627 cents 8/3</span><br /> <br /> <span style="background-color: rgba(255,255,255,0);">18: 3/1</span></body></html>