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| = ARCHIVED WIKISPACES DISCUSSION BELOW =
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| '''All discussion below is archived from the Wikispaces export in its original unaltered form.'''
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| <span style="color:#800000">'''PLEASE MAKE ANY NEW COMMENTS <u>ABOVE</u> THIS SECTION.'''</span> Anything below here is for archival purposes only.
| | == Could I add a link to a related well temperament, and where? == |
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| ---- | | Hi! As Secor’s article about 17edo is included in [[17edo#Introductory materials]], it might be a good idea to add a link to the well temperament which he describes there as well. (I added it today: [[Secor wt17]] :) If you agree with this, where to? I would create a section like “Related tunings” somewhere near the end of the page, or add the link right where the article is mentioned. What’s better? --[[User:Arseniiv|Arseniiv]] ([[User talk:Arseniiv|talk]]) 20:39, 27 September 2020 (UTC) |
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| == three commas ==
| | : Of course you may add such a section but what about adding it to the [[17edo#Temperaments|#Temperaments]] section? BTW: welcome to the wiki, Arseniiv! --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 21:05, 27 September 2020 (UTC) |
| How can commas of size near the step size of 17edo be tempered out? I sorted the suspicious three to the end of the table and set it into italic. I think they should be deleted better from this table.
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| - '''xenwolf''' June 05, 2011, 11:27:00 AM UTC-0700
| | :: (Thanks!) Yeah, for some reason I thought that section is for other stuff but now I think that’s a perfect match. --[[User:Arseniiv|Arseniiv]] ([[User talk:Arseniiv|talk]]) 21:58, 27 September 2020 (UTC) |
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| Using the stated val, which is the 13-limit 17edo patent val, it is indeed the case that the commas in question are tempered out. I'll add a comment.
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| - '''genewardsmith''' June 05, 2011, 11:33:36 AM UTC-0700
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| If I could only understand it! Would it be possible to make an example for 25/24 in the 17edo here? I thought "tempering out a comma" means only "to make it disappear" - am I really so wrong? ...please be some more patient with me!
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| - '''xenwolf''' June 05, 2011, 11:47:32 AM UTC-0700
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| 17-EDO's patent val maps 5/4 to 353 cents, and two of those make up a 3/2. Using the patent val, that equates 25/16 ((5/4)*(5/4)) with 24/16 ((3/2)*(8/8)), meaning 25/24 is tempered out. But if we don't assume the patent val, we will end up with a different comma list. I, for instance, think of 17 as approximating 25 but not 5, and map it to the ~777-cent interval. On that mapping, 25/24 is definitely NOT tempered out.
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| - '''igliashon''' September 21, 2011, 01:38:27 PM UTC-0700
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| So in other words, in that mapping 25 could be considered a "pseudo-prime", since it's not actually a prime number, but its root (5) is not represented.
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| The 23rd harmonic is also represented too, by the way (23:16 is a little sharp). So we could consider 17edo a 2.3.7.11.13.23.25 temperament. In other words, it's 27-odd limit with no 5, 17, or 19, and with 25 treated as though it were prime.
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| - '''MasonGreen1''' March 01, 2016, 07:25:23 PM UTC-0800
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| Has anyone examined the no-fives "zeta function" tunings? I've seen no-twos tunings evaluated, but not no-fives.
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| Among no-fives tunings, 17 is pretty good, isn't it? I suspect 12 would still be a zeta edo even if the fifth harmonic were ignored. 17 would probably be the next one after 12. Not sure about 19edo; it doesn't have a good 7 and doesn't match 11 at all, so as a no-fives tuning, it's not so great and 17 is probably better than 19.
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| - '''MasonGreen1''' March 01, 2016, 07:30:59 PM UTC-0800
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| 17-comma example: The 17-comma is a difference between 17 fifths (octave reduced) and octave. The fifth of 17-edo is ~4 cents sharp, and stacking 17 of these adds up to ~68 cents, equating it with octave.
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| - '''PiotrGrochowski''' October 11, 2016, 06:39:27 AM UTC-0700
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| Note that you don't need to use the patent val. In patent val, 25/24 is tempered out and 81/80 maps to 1 step. However, there is alternative 5 that maps 25/24 to 2 steps (allowing a neutral third between major and minor third) and tempers out 81/80.
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| - '''PiotrGrochowski''' October 14, 2016, 12:14:18 AM UTC-0700
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