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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | Below are listed the [[11-odd-limit]] [[dyadic chord]]s of [[11-limit]] [[hemififths]] temperament. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by [[540/539]] are [[swetismic chords|swetismic]], by [[441/440]] [[werckismic chords|werckismic]], by [[896/891]] [[pentacircle chords|pentacircle]], by [[243/242]] [[rastmic chords|rastmic]], and by [[1344/1331]] [[hemimin chords|hemimin]]. Those requiring tempering by any two of 540/539, 441/440 or 243/242 are labeled [[jove chords|jove]]. Those requiring both 441/440 and 896/891 are labeled [[pele chords|pele]]. Those requiring any two of 243/242, 896/891 or 1344/1331 are labeled [[parahemif chords|parahemif]]. If the full hemififths is required because of the tempering out of three independent hemififths commas, the chord is labeled ''hemififths''. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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| : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-12-21 15:02:00 UTC</tt>.<br>
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| : The original revision id was <tt>287999812</tt>.<br>
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| : The revision comment was: <tt></tt><br>
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| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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| <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">Below are listed the [[Dyadic chord|dyadic chords]] of 11-limit [[Breedsmic temperaments#Hemififths|hemififths temperament]]. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 540/539 are swetismic, by 441/440 werckismic, by 896/891 pentacircle, by 243/242 rastmic, and by 1344/1331 hemimin. Those requiring tempering by any two of 540/539, 441/440 or 243/242 are labeled jove, and those requiring both 441/440 and 896/891 are labeled pele. The label "nofives" refers to the unnamed rank-three temperament tempering out 243/242, 896/891 and 1344/1331, and if any two of these are needed the chord is so labled. "Nofives" refers to the fact that it is in essence a no-fives version of hemififths; if the full hemififths is required because of the tempering out of three independent hemififths commas, the chord is labeled "hemififths".
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| A striking feature of these hemififths chords is that essentially just chords tend to be of higher complexity than essentially tempered chords. Hemififths has MOS of size 7, 10, 17 and 24, and even seven notes are well-supplied with chords, mostly but by no means entirely essentially tempered chords. Extending consideration to the 13-limit adds even more such chords. | | A striking feature of these hemififths chords is that essentially just chords tend to be of higher complexity than essentially tempered chords. Hemififths has [[mos scale]]s of size 7, 10, 17 and 24, and even seven notes are well-supplied with chords, mostly but by no means entirely essentially tempered chords. Extending consideration to the 13-limit adds even more such chords. |
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| =Triads=
| | Chords are named with ups and downs, using pergen #4 (P8, P5/2) in the [http://tallkite.com/misc_files/notation%20guide%20for%20rank-2%20pergens.pdf notation guide for rank-2 pergens]. One up is 7 generators, which is a half-sharp. The tilde ~ means mid, half-way between major and minor. ~4 = ^4 = vA4 and ~5 = v5 = ^d5. The comma (the actual punctuation mark) is pronounced "add", thus C~,7 is "C mid add 7". To facilitate chord naming, lifts and drops are also used. One lift is -17 generators, a half-diminished second. Enharmonic equivalences: vvA1 and v\m2. Cents: ^1 = 50¢ + 3.5c and /1 = 50¢ - 8.5c, where c equals the amount in cents the tempered fifth exceeds 700¢. /1 = ~81/80 = ~64/63 and ^1 = ~33/32. To convert to 41edo, ^1 = 2\41 and /1 = 1\41. |
| || Number || Chord || Transversal || Type ||
| |
| || 1 || 0-1-2 || 1-11/9-3/2 || rastmic ||
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| || 2 || 0-1-3 || 1-11/9-11/6 || utonal ||
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| || 3 || 0-2-3 || 1-3/2-11/6 || otonal ||
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| || 4 || 0-1-4 || 1-11/9-9/8 || rastmic ||
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| || 5 || 0-2-4 || 1-3/2-9/8 || ambitonal ||
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| || 6 || 0-3-4 || 1-11/6-9/8 || rastmic ||
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| || 7 || 0-1-5 || 1-11/9-11/8 || utonal ||
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| || 8 || 0-2-5 || 1-3/2-11/8 || otonal ||
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| || 9 || 0-3-5 || 1-11/6-11/8 || utonal ||
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| || 10 || 0-4-5 || 1-9/8-11/8 || otonal ||
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| || 11 || 0-3-8 || 1-11/6-14/11 || hemimin ||
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| || 12 || 0-4-8 || 1-9/8-14/11 || pentacircle ||
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| || 13 || 0-5-8 || 1-11/8-14/11 || hemimin ||
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| || 14 || 0-1-9 || 1-11/9-14/9 || otonal ||
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| || 15 || 0-4-9 || 1-9/8-14/9 || pentacircle ||
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| || 16 || 0-5-9 || 1-11/8-14/9 || pentacircle ||
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| || 17 || 0-8-9 || 1-14/11-14/9 || utonal ||
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| || 18 || 0-2-11 || 1-3/2-7/6 || otonal ||
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| || 19 || 0-3-11 || 1-11/6-7/6 || otonal ||
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| || 20 || 0-8-11 || 1-14/11-7/6 || utonal ||
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| || 21 || 0-9-11 || 1-14/9-7/6 || utonal ||
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| || 22 || 0-1-12 || 1-11/9-10/7 || swetismic ||
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| || 23 || 0-3-12 || 1-11/6-10/7 || swetismic ||
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| || 24 || 0-4-12 || 1-9/8-10/7 || werckismic ||
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| || 25 || 0-8-12 || 1-14/11-10/7 || werckismic ||
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| || 26 || 0-9-12 || 1-14/9-10/7 || swetismic ||
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| || 27 || 0-11-12 || 1-7/6-10/7 || swetismic ||
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| || 28 || 0-1-13 || 1-11/9-7/4 || werckismic ||
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| || 29 || 0-2-13 || 1-3/2-7/4 || otonal ||
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| || 30 || 0-4-13 || 1-9/8-7/4 || otonal ||
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| || 31 || 0-5-13 || 1-11/8-7/4 || otonal ||
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| || 32 || 0-8-13 || 1-14/11-7/4 || utonal ||
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| || 33 || 0-9-13 || 1-14/9-7/4 || utonal ||
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| || 34 || 0-11-13 || 1-7/6-7/4 || utonal ||
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| || 35 || 0-12-13 || 1-10/7-7/4 || werckismic ||
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| || 36 || 0-8-20 || 1-14/11-20/11 || otonal ||
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| || 37 || 0-9-20 || 1-14/9-20/11 || swetismic ||
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| || 38 || 0-11-20 || 1-7/6-20/11 || swetismic ||
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| || 39 || 0-12-20 || 1-10/7-20/11 || utonal ||
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| || 40 || 0-1-21 || 1-11/9-10/9 || otonal ||
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| || 41 || 0-8-21 || 1-14/11-10/9 || werckismic ||
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| || 42 || 0-9-21 || 1-14/9-10/9 || otonal ||
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| || 43 || 0-12-21 || 1-10/7-10/9 || utonal ||
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| || 44 || 0-13-21 || 1-7/4-10/9 || werckismic ||
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| || 45 || 0-20-21 || 1-20/11-10/9 || utonal ||
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| || 46 || 0-2-23 || 1-3/2-5/3 || otonal ||
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| || 47 || 0-3-23 || 1-11/6-5/3 || otonal ||
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| || 48 || 0-11-23 || 1-7/6-5/3 || otonal ||
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| || 49 || 0-12-23 || 1-10/7-5/3 || utonal ||
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| || 50 || 0-20-23 || 1-20/11-5/3 || utonal ||
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| || 51 || 0-21-23 || 1-10/9-5/3 || utonal ||
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| || 52 || 0-2-25 || 1-3/2-5/4 || otonal ||
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| || 53 || 0-4-25 || 1-9/8-5/4 || otonal ||
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| || 54 || 0-5-25 || 1-11/8-5/4 || otonal ||
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| || 55 || 0-12-25 || 1-10/7-5/4 || utonal ||
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| || 56 || 0-13-25 || 1-7/4-5/4 || otonal ||
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| || 57 || 0-20-25 || 1-20/11-5/4 || utonal ||
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| || 58 || 0-21-25 || 1-10/9-5/4 || utonal ||
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| || 59 || 0-23-25 || 1-5/3-5/4 || utonal ||
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| =Tetrads=
| | The ''As harmonics or subharmonics'' column describes otonal chords as harmonics and utonal chords as subharmonics. |
| || Number || Chord || Transversal || Type ||
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| || 1 || 0-1-2-3 || 1-11/9-3/2-11/6 || rastmic ||
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| || 2 || 0-1-2-4 || 1-11/9-3/2-9/8 || rastmic ||
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| || 3 || 0-1-3-4 || 1-11/9-11/6-9/8 || rastmic ||
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| || 4 || 0-2-3-4 || 1-3/2-11/6-9/8 || rastmic ||
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| || 5 || 0-1-2-5 || 1-11/9-3/2-11/8 || rastmic ||
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| || 6 || 0-1-3-5 || 1-11/9-11/6-11/8 || utonal ||
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| || 7 || 0-2-3-5 || 1-3/2-11/6-11/8 || ambitonal ||
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| || 8 || 0-1-4-5 || 1-11/9-9/8-11/8 || rastmic ||
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| || 9 || 0-2-4-5 || 1-3/2-9/8-11/8 || otonal ||
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| || 10 || 0-3-4-5 || 1-11/6-9/8-11/8 || rastmic ||
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| || 11 || 0-3-4-8 || 1-11/6-9/8-14/11 || nofives ||
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| || 12 || 0-3-5-8 || 1-11/6-11/8-14/11 || hemimin ||
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| || 13 || 0-4-5-8 || 1-9/8-11/8-14/11 || nofives ||
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| || 14 || 0-1-4-9 || 1-11/9-9/8-14/9 || nofives ||
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| || 15 || 0-1-5-9 || 1-11/9-11/8-14/9 || pentacircle ||
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| || 16 || 0-4-5-9 || 1-9/8-11/8-14/9 || pentacircle ||
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| || 17 || 0-4-8-9 || 1-9/8-14/11-14/9 || pentacircle ||
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| || 18 || 0-5-8-9 || 1-11/8-14/11-14/9 || nofives ||
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| || 19 || 0-2-3-11 || 1-3/2-11/6-7/6 || otonal ||
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| || 20 || 0-3-8-11 || 1-11/6-14/11-7/6 || hemimin ||
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| || 21 || 0-8-9-11 || 1-14/11-14/9-7/6 || utonal ||
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| || 22 || 0-1-3-12 || 1-11/9-11/6-10/7 || swetismic ||
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| || 23 || 0-1-4-12 || 1-11/9-9/8-10/7 || jove ||
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| || 24 || 0-3-4-12 || 1-11/6-9/8-10/7 || jove ||
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| || 25 || 0-3-8-12 || 1-11/6-14/11-10/7 || hemififths ||
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| || 26 || 0-4-8-12 || 1-9/8-14/11-10/7 || pele ||
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| || 27 || 0-1-9-12 || 1-11/9-14/9-10/7 || swetismic ||
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| || 28 || 0-4-9-12 || 1-9/8-14/9-10/7 || hemififths ||
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| || 29 || 0-8-9-12 || 1-14/11-14/9-10/7 || jove ||
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| || 30 || 0-3-11-12 || 1-11/6-7/6-10/7 || swetismic ||
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| || 31 || 0-8-11-12 || 1-14/11-7/6-10/7 || jove ||
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| || 32 || 0-9-11-12 || 1-14/9-7/6-10/7 || swetismic ||
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| || 33 || 0-1-2-13 || 1-11/9-3/2-7/4 || jove ||
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| || 34 || 0-1-4-13 || 1-11/9-9/8-7/4 || jove ||
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| || 35 || 0-2-4-13 || 1-3/2-9/8-7/4 || otonal ||
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| || 36 || 0-1-5-13 || 1-11/9-11/8-7/4 || werckismic ||
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| || 37 || 0-2-5-13 || 1-3/2-11/8-7/4 || otonal ||
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| || 38 || 0-4-5-13 || 1-9/8-11/8-7/4 || otonal ||
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| || 39 || 0-4-8-13 || 1-9/8-14/11-7/4 || pentacircle ||
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| || 40 || 0-5-8-13 || 1-11/8-14/11-7/4 || hemimin ||
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| || 41 || 0-1-9-13 || 1-11/9-14/9-7/4 || werckismic ||
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| || 42 || 0-4-9-13 || 1-9/8-14/9-7/4 || pentacircle ||
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| || 43 || 0-5-9-13 || 1-11/8-14/9-7/4 || pentacircle ||
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| || 44 || 0-8-9-13 || 1-14/11-14/9-7/4 || utonal ||
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| || 45 || 0-2-11-13 || 1-3/2-7/6-7/4 || ambitonal ||
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| || 46 || 0-8-11-13 || 1-14/11-7/6-7/4 || utonal ||
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| || 47 || 0-9-11-13 || 1-14/9-7/6-7/4 || utonal ||
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| || 48 || 0-1-12-13 || 1-11/9-10/7-7/4 || jove ||
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| || 49 || 0-4-12-13 || 1-9/8-10/7-7/4 || werckismic ||
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| || 50 || 0-8-12-13 || 1-14/11-10/7-7/4 || werckismic ||
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| || 51 || 0-9-12-13 || 1-14/9-10/7-7/4 || jove ||
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| || 52 || 0-11-12-13 || 1-7/6-10/7-7/4 || jove ||
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| || 53 || 0-8-9-20 || 1-14/11-14/9-20/11 || swetismic ||
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| || 54 || 0-8-11-20 || 1-14/11-7/6-20/11 || swetismic ||
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| || 55 || 0-9-11-20 || 1-14/9-7/6-20/11 || swetismic ||
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| || 56 || 0-8-12-20 || 1-14/11-10/7-20/11 || werckismic ||
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| || 57 || 0-9-12-20 || 1-14/9-10/7-20/11 || swetismic ||
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| || 58 || 0-11-12-20 || 1-7/6-10/7-20/11 || swetismic ||
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| || 59 || 0-1-9-21 || 1-11/9-14/9-10/9 || otonal ||
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| || 60 || 0-8-9-21 || 1-14/11-14/9-10/9 || werckismic ||
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| || 61 || 0-1-12-21 || 1-11/9-10/7-10/9 || swetismic ||
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| || 62 || 0-8-12-21 || 1-14/11-10/7-10/9 || werckismic ||
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| || 63 || 0-9-12-21 || 1-14/9-10/7-10/9 || swetismic ||
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| || 64 || 0-1-13-21 || 1-11/9-7/4-10/9 || werckismic ||
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| || 65 || 0-8-13-21 || 1-14/11-7/4-10/9 || werckismic ||
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| || 66 || 0-9-13-21 || 1-14/9-7/4-10/9 || werckismic ||
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| || 67 || 0-12-13-21 || 1-10/7-7/4-10/9 || werckismic ||
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| || 68 || 0-8-20-21 || 1-14/11-20/11-10/9 || werckismic ||
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| || 69 || 0-9-20-21 || 1-14/9-20/11-10/9 || swetismic ||
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| || 70 || 0-12-20-21 || 1-10/7-20/11-10/9 || utonal ||
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| || 71 || 0-2-3-23 || 1-3/2-11/6-5/3 || otonal ||
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| || 72 || 0-2-11-23 || 1-3/2-7/6-5/3 || otonal ||
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| || 73 || 0-3-11-23 || 1-11/6-7/6-5/3 || otonal ||
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| || 74 || 0-3-12-23 || 1-11/6-10/7-5/3 || swetismic ||
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| || 75 || 0-11-12-23 || 1-7/6-10/7-5/3 || swetismic ||
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| || 76 || 0-11-20-23 || 1-7/6-20/11-5/3 || swetismic ||
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| || 77 || 0-12-20-23 || 1-10/7-20/11-5/3 || utonal ||
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| || 78 || 0-12-21-23 || 1-10/7-10/9-5/3 || utonal ||
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| || 79 || 0-20-21-23 || 1-20/11-10/9-5/3 || utonal ||
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| || 80 || 0-2-4-25 || 1-3/2-9/8-5/4 || otonal ||
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| || 81 || 0-2-5-25 || 1-3/2-11/8-5/4 || otonal ||
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| || 82 || 0-4-5-25 || 1-9/8-11/8-5/4 || otonal ||
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| || 83 || 0-4-12-25 || 1-9/8-10/7-5/4 || werckismic ||
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| || 84 || 0-2-13-25 || 1-3/2-7/4-5/4 || otonal ||
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| || 85 || 0-4-13-25 || 1-9/8-7/4-5/4 || otonal ||
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| || 86 || 0-5-13-25 || 1-11/8-7/4-5/4 || otonal ||
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| || 87 || 0-12-13-25 || 1-10/7-7/4-5/4 || werckismic ||
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| || 88 || 0-12-20-25 || 1-10/7-20/11-5/4 || utonal ||
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| || 89 || 0-12-21-25 || 1-10/7-10/9-5/4 || utonal ||
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| || 90 || 0-13-21-25 || 1-7/4-10/9-5/4 || werckismic ||
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| || 91 || 0-20-21-25 || 1-20/11-10/9-5/4 || utonal ||
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| || 92 || 0-2-23-25 || 1-3/2-5/3-5/4 || ambitonal ||
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| || 93 || 0-12-23-25 || 1-10/7-5/3-5/4 || utonal ||
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| || 94 || 0-20-23-25 || 1-20/11-5/3-5/4 || utonal ||
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| || 95 || 0-21-23-25 || 1-10/9-5/3-5/4 || utonal ||
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| =Pentads= | | {| class="wikitable center-all" |
| || Number || Chord || Transversal || Type || | | |+Hemififth's genchain |
| || 1 || 0-1-2-3-4 || 1-11/9-3/2-11/6-9/8 || rastmic ||
| | ! Genspan |
| || 2 || 0-1-2-3-5 || 1-11/9-3/2-11/6-11/8 || rastmic ||
| | ! 0 |
| || 3 || 0-1-2-4-5 || 1-11/9-3/2-9/8-11/8 || rastmic ||
| | ! 1 |
| || 4 || 0-1-3-4-5 || 1-11/9-11/6-9/8-11/8 || rastmic ||
| | ! 2 |
| || 5 || 0-2-3-4-5 || 1-3/2-11/6-9/8-11/8 || rastmic ||
| | ! 3 |
| || 6 || 0-3-4-5-8 || 1-11/6-9/8-11/8-14/11 || nofives ||
| | ! 4 |
| || 7 || 0-1-4-5-9 || 1-11/9-9/8-11/8-14/9 || nofives ||
| | ! 5 |
| || 8 || 0-4-5-8-9 || 1-9/8-11/8-14/11-14/9 || nofives ||
| | ! 6 |
| || 9 || 0-1-3-4-12 || 1-11/9-11/6-9/8-10/7 || jove ||
| | ! 7 |
| || 10 || 0-3-4-8-12 || 1-11/6-9/8-14/11-10/7 || hemififths ||
| | ! 8 |
| || 11 || 0-1-4-9-12 || 1-11/9-9/8-14/9-10/7 || hemififths ||
| | ! 9 |
| || 12 || 0-4-8-9-12 || 1-9/8-14/11-14/9-10/7 || hemififths ||
| | ! 10 |
| || 13 || 0-3-8-11-12 || 1-11/6-14/11-7/6-10/7 || hemififths ||
| | ! 11 |
| || 14 || 0-8-9-11-12 || 1-14/11-14/9-7/6-10/7 || jove ||
| | ! 12 |
| || 15 || 0-1-2-4-13 || 1-11/9-3/2-9/8-7/4 || jove || | | ! 13 |
| || 16 || 0-1-2-5-13 || 1-11/9-3/2-11/8-7/4 || jove || | | ! … |
| || 17 || 0-1-4-5-13 || 1-11/9-9/8-11/8-7/4 || jove || | | ! 20 |
| || 18 || 0-2-4-5-13 || 1-3/2-9/8-11/8-7/4 || otonal || | | ! 21 |
| || 19 || 0-4-5-8-13 || 1-9/8-11/8-14/11-7/4 || nofives || | | ! … |
| || 20 || 0-1-4-9-13 || 1-11/9-9/8-14/9-7/4 || hemififths || | | ! 23 |
| || 21 || 0-1-5-9-13 || 1-11/9-11/8-14/9-7/4 || pele || | | ! … |
| || 22 || 0-4-5-9-13 || 1-9/8-11/8-14/9-7/4 || pentacircle || | | ! 25 |
| || 23 || 0-4-8-9-13 || 1-9/8-14/11-14/9-7/4 || pentacircle || | | |- |
| || 24 || 0-5-8-9-13 || 1-11/8-14/11-14/9-7/4 || nofives || | | ! Cents (41edo) |
| || 25 || 0-8-9-11-13 || 1-14/11-14/9-7/6-7/4 || utonal ||
| | | 0 |
| || 26 || 0-1-4-12-13 || 1-11/9-9/8-10/7-7/4 || jove ||
| | | 351 |
| || 27 || 0-4-8-12-13 || 1-9/8-14/11-10/7-7/4 || pele ||
| | | 702 |
| || 28 || 0-1-9-12-13 || 1-11/9-14/9-10/7-7/4 || jove || | | | 1054 |
| || 29 || 0-4-9-12-13 || 1-9/8-14/9-10/7-7/4 || hemififths ||
| | | 205 |
| || 30 || 0-8-9-12-13 || 1-14/11-14/9-10/7-7/4 || jove || | | | 556 |
| || 31 || 0-8-11-12-13 || 1-14/11-7/6-10/7-7/4 || jove || | | | 907 |
| || 32 || 0-9-11-12-13 || 1-14/9-7/6-10/7-7/4 || jove || | | | 59 |
| || 33 || 0-8-9-11-20 || 1-14/11-14/9-7/6-20/11 || swetismic ||
| | | 410 |
| || 34 || 0-8-9-12-20 || 1-14/11-14/9-10/7-20/11 || jove || | | | 761 |
| || 35 || 0-8-11-12-20 || 1-14/11-7/6-10/7-20/11 || jove ||
| | | 1112 |
| || 36 || 0-9-11-12-20 || 1-14/9-7/6-10/7-20/11 || swetismic || | | | 263 |
| || 37 || 0-1-9-12-21 || 1-11/9-14/9-10/7-10/9 || swetismic || | | | 615 |
| || 38 || 0-8-9-12-21 || 1-14/11-14/9-10/7-10/9 || jove || | | | 966 |
| || 39 || 0-1-9-13-21 || 1-11/9-14/9-7/4-10/9 || werckismic || | | | … |
| || 40 || 0-8-9-13-21 || 1-14/11-14/9-7/4-10/9 || werckismic ||
| | | 1024 |
| || 41 || 0-1-12-13-21 || 1-11/9-10/7-7/4-10/9 || jove || | | | 176 |
| || 42 || 0-8-12-13-21 || 1-14/11-10/7-7/4-10/9 || werckismic || | | | … |
| || 43 || 0-9-12-13-21 || 1-14/9-10/7-7/4-10/9 || jove || | | | 878 |
| || 44 || 0-8-9-20-21 || 1-14/11-14/9-20/11-10/9 || jove || | | | … |
| || 45 || 0-8-12-20-21 || 1-14/11-10/7-20/11-10/9 || werckismic || | | | 380 |
| || 46 || 0-9-12-20-21 || 1-14/9-10/7-20/11-10/9 || swetismic || | | |- |
| || 47 || 0-2-3-11-23 || 1-3/2-11/6-7/6-5/3 || otonal || | | ! Ratio |
| || 48 || 0-3-11-12-23 || 1-11/6-7/6-10/7-5/3 || swetismic || | | | 1/1 |
| || 49 || 0-11-12-20-23 || 1-7/6-10/7-20/11-5/3 || swetismic || | | | 11/9<br>16/13 |
| || 50 || 0-12-20-21-23 || 1-10/7-20/11-10/9-5/3 || utonal || | | | 3/2 |
| || 51 || 0-2-4-5-25 || 1-3/2-9/8-11/8-5/4 || otonal || | | | 11/6<br>24/13 |
| || 52 || 0-2-4-13-25 || 1-3/2-9/8-7/4-5/4 || otonal || | | | 9/8 |
| || 53 || 0-2-5-13-25 || 1-3/2-11/8-7/4-5/4 || otonal || | | | 11/8<br>18/13 |
| || 54 || 0-4-5-13-25 || 1-9/8-11/8-7/4-5/4 || otonal || | | | 27/16<br>22/13 |
| || 55 || 0-4-12-13-25 || 1-9/8-10/7-7/4-5/4 || werckismic || | | | 28/27<br>33/32 |
| || 56 || 0-12-13-21-25 || 1-10/7-7/4-10/9-5/4 || werckismic || | | | 14/11 |
| || 57 || 0-12-20-21-25 || 1-10/7-20/11-10/9-5/4 || utonal || | | | 14/9 |
| || 58 || 0-12-20-23-25 || 1-10/7-20/11-5/3-5/4 || utonal || | | | 40/21<br>21/11 |
| || 59 || 0-12-21-23-25 || 1-10/7-10/9-5/3-5/4 || utonal || | | | 7/6 |
| || 60 || 0-20-21-23-25 || 1-20/11-10/9-5/3-5/4 || utonal || | | | 10/7 |
| | | 7/4 |
| | | … |
| | | 20/11 |
| | | 10/9 |
| | | … |
| | | 5/3 |
| | | … |
| | | 5/4 |
| | |- |
| | ! Interval |
| | | P1 |
| | | ~3 |
| | | P5 |
| | | ~7 |
| | | M2 |
| | | ~4<br>\b5 |
| | | M6 |
| | | ^1<br>\m2 |
| | | M3 |
| | | ^5<br>\m6 |
| | | M7 |
| | | ^M2<br>\m3 |
| | | A4<br>\~5 |
| | | ^M6<br>\m7 |
| | | … |
| | | A6<br>\~7 |
| | | ^A1<br>\M2 |
| | | … |
| | | ^A5<br>\M6 |
| | | … |
| | | ^A2<br>\M3 |
| | |} |
| | {{Todo|complete table|inline=1}} |
|
| |
|
| =Hexads= | | == Triads == |
| || Number || Chord || Transversal || Type || | | {| class="wikitable center-1" |
| || 1 || 0-1-2-3-4-5 || 1-11/9-3/2-11/6-9/8-11/8 || rastmic || | | |- |
| || 2 || 0-1-2-4-5-13 || 1-11/9-3/2-9/8-11/8-7/4 || jove || | | ! # |
| || 3 || 0-1-4-5-9-13 || 1-11/9-9/8-11/8-14/9-7/4 || hemififths || | | ! Genspans |
| || 4 || 0-4-5-8-9-13 || 1-9/8-11/8-14/11-14/9-7/4 || nofives || | | ! Transversal |
| || 5 || 0-1-4-9-12-13 || 1-11/9-9/8-14/9-10/7-7/4 || hemififths || | | ! Type |
| || 6 || 0-4-8-9-12-13 || 1-9/8-14/11-14/9-10/7-7/4 || hemififths || | | ! Name |
| || 7 || 0-8-9-11-12-13 || 1-14/11-14/9-7/6-10/7-7/4 || jove || | | ! Inversion |
| || 8 || 0-8-9-11-12-20 || 1-14/11-14/9-7/6-10/7-20/11 || jove || | | ! As harmonics<br>or subharmonics |
| || 9 || 0-1-9-12-13-21 || 1-11/9-14/9-10/7-7/4-10/9 || jove || | | |- |
| || 10 || 0-8-9-12-13-21 || 1-14/11-14/9-10/7-7/4-10/9 || jove || | | | 1 |
| || 11 || 0-8-9-12-20-21 || 1-14/11-14/9-10/7-20/11-10/9 || jove || | | | 0-1-2 |
| || 12 || 0-2-4-5-13-25 || 1-3/2-9/8-11/8-7/4-5/4 || otonal || | | | 1-11/9-3/2 |
| || 13 || 0-12-20-21-23-25 || 1-10/7-20/11-10/9-5/3-5/4 || utonal || | | | rastmic |
| </pre></div>
| | | C~ |
| <h4>Original HTML content:</h4>
| | | |
| <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>Chords of hemififths</title></head><body>Below are listed the <a class="wiki_link" href="/Dyadic%20chord">dyadic chords</a> of 11-limit <a class="wiki_link" href="/Breedsmic%20temperaments#Hemififths">hemififths temperament</a>. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 540/539 are swetismic, by 441/440 werckismic, by 896/891 pentacircle, by 243/242 rastmic, and by 1344/1331 hemimin. Those requiring tempering by any two of 540/539, 441/440 or 243/242 are labeled jove, and those requiring both 441/440 and 896/891 are labeled pele. The label &quot;nofives&quot; refers to the unnamed rank-three temperament tempering out 243/242, 896/891 and 1344/1331, and if any two of these are needed the chord is so labled. &quot;Nofives&quot; refers to the fact that it is in essence a no-fives version of hemififths; if the full hemififths is required because of the tempering out of three independent hemififths commas, the chord is labeled &quot;hemififths&quot;.<br />
| | | |
| <br />
| | |- |
| A striking feature of these hemififths chords is that essentially just chords tend to be of higher complexity than essentially tempered chords. Hemififths has MOS of size 7, 10, 17 and 24, and even seven notes are well-supplied with chords, mostly but by no means entirely essentially tempered chords. Extending consideration to the 13-limit adds even more such chords.<br />
| | | 2 |
| <br />
| | | 0-1-3 |
| <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Triads"></a><!-- ws:end:WikiTextHeadingRule:0 -->Triads</h1>
| | | 1-11/9-11/6 |
| | | utonal |
| | | C~7no5 |
| | | |
| | | 1/(11:9:6) |
| | |- |
| | | 3 |
| | | 0-2-3 |
| | | 1-3/2-11/6 |
| | | otonal |
| | | C~7no3 |
| | | |
| | | 6:9:11 |
| | |- |
| | | 4 |
| | | 0-1-4 |
| | | 1-11/9-9/8 |
| | | rastmic |
| | | C~,9no5 |
| | | |
| | | |
| | |- |
| | | 5 |
| | | 0-2-4 |
| | | 1-3/2-9/8 |
| | | ambitonal |
| | | C2 ''or'' C4 |
| | | 1-4/3-3/2 |
| | | |
| | |- |
| | | 6 |
| | | 0-3-4 |
| | | 1-11/6-9/8 |
| | | rastmic |
| | | C~9no35 |
| | | |
| | | |
| | |- |
| | | 7 |
| | | 0-1-5 |
| | | 1-11/9-11/8 |
| | | utonal |
| | | C~(\b5) |
| | | |
| | | 1/(11:9:8) |
| | |- |
| | | 8 |
| | | 0-2-5 |
| | | 1-3/2-11/8 |
| | | otonal |
| | | C~7sus4no5 |
| | | 1-4/3-11/6 |
| | | 6:8:11 |
| | |- |
| | | 9 |
| | | 0-3-5 |
| | | 1-11/6-11/8 |
| | | utonal |
| | | C~2 |
| | | 1-12/11-3/2 |
| | | 1/(12:11:8) |
| | |- |
| | | 10 |
| | | 0-4-5 |
| | | 1-9/8-11/8 |
| | | otonal |
| | | C~,7no5 |
| | | 1-11/9-16/9 |
| | | 9:11:16 |
| | |- |
| | | 11 |
| | | 0-3-8 |
| | | 1-11/6-14/11 |
| | | hemimin |
| | | C,~7no5 |
| | | |
| | | |
| | |- |
| | | 12 |
| | | 0-4-8 |
| | | 1-9/8-14/11 |
| | | pentacircle |
| | | C,9no5 |
| | | |
| | | |
| | |- |
| | | 13 |
| | | 0-5-8 |
| | | 1-11/8-14/11 |
| | | hemimin |
| | | C(\b5) |
| | | |
| | | |
| | |- |
| | | 14 |
| | | 0-1-9 |
| | | 1-11/9-14/9 |
| | | otonal |
| | | C~(^5) |
| | | |
| | | 9:11:14 |
| | |- |
| | | 15 |
| | | 0-4-9 |
| | | 1-9/8-14/9 |
| | | pentacircle |
| | | C7~4no5 |
| | | 1-11/8-16/9 |
| | | |
| | |- |
| | | 16 |
| | | 0-5-9 |
| | | 1-11/8-14/9 |
| | | pentacircle |
| | | C2(~5) ''or''<br>C/,7no5 |
| | | 1-9/8-13/9<br>1-9/7-16/9 |
| | | |
| | |- |
| | | 17 |
| | | 0-8-9 |
| | | 1-14/11-14/9 |
| | | utonal |
| | | C(^5) |
| | | |
| | | 1/(14:11:9) |
| | |- |
| | | 18 |
| | | 0-2-11 |
| | | 1-3/2-7/6 |
| | | otonal |
| | | C\m |
| | | |
| | | 6:7:9 |
| | |- |
| | | 19 |
| | | 0-3-11 |
| | | 1-11/6-7/6 |
| | | otonal |
| | | C\m~7no5 |
| | | |
| | | 6:7:11 |
| | |- |
| | | 20 |
| | | 0-8-11 |
| | | 1-14/11-7/6 |
| | | utonal |
| | | C~2/6 |
| | | 1-12/11-12/7 |
| | | 1/(12:11:7) |
| | |- |
| | | 21 |
| | | 0-9-11 |
| | | 1-14/9-7/6 |
| | | utonal |
| | | C/ |
| | | 1-9/7-3/2 |
| | | 1/(9:7:6) |
| | |- |
| | | 22 |
| | | 0-1-12 |
| | | 1-11/9-10/7 |
| | | swetismic |
| | | C~(\~5) |
| | | |
| | | |
| | |- |
| | | 23 |
| | | 0-3-12 |
| | | 1-11/6-10/7 |
| | | swetismic |
| | | C/(b5) |
| | | 1-9/7-7/5 |
| | | |
| | |- |
| | | 24 |
| | | 0-4-12 |
| | | 1-9/8-10/7 |
| | | werckismic |
| | | C2(\~5) |
| | | |
| | | |
| | |- |
| | | 25 |
| | | 0-8-12 |
| | | 1-14/11-10/7 |
| | | werckismic |
| | | C(\~5) |
| | | |
| | | |
| | |- |
| | | 26 |
| | | 0-9-12 |
| | | 1-14/9-10/7 |
| | | swetismic |
| | | C~2(b5) |
| | | 1-12/11-7/5 |
| | | |
| | |- |
| | | 27 |
| | | 0-11-12 |
| | | 1-7/6-10/7 |
| | | swetismic |
| | | C\m(\~5) |
| | | |
| | | |
| | |- |
| | | 28 |
| | | 0-1-13 |
| | | 1-11/9-7/4 |
| | | werckismic |
| | | C~,\7no5 |
| | | |
| | | |
| | |- |
| | | 29 |
| | | 0-2-13 |
| | | 1-3/2-7/4 |
| | | otonal |
| | | C\7no3 |
| | | |
| | | 4:6:7 |
| | |- |
| | | 30 |
| | | 0-4-13 |
| | | 1-9/8-7/4 |
| | | otonal |
| | | C\9no35 |
| | | |
| | | 4:7:9 |
| | |- |
| | | 31 |
| | | 0-5-13 |
| | | 1-11/8-7/4 |
| | | otonal |
| | | C(~5) |
| | | 1-14/11-16/11 |
| | | 8:11:14 |
| | |- |
| | | 32 |
| | | 0-8-13 |
| | | 1-14/11-7/4 |
| | | utonal |
| | | C,\7 |
| | | |
| | | 1/(14:11:8) |
| | |- |
| | | 33 |
| | | 0-9-13 |
| | | 1-14/9-7/4 |
| | | utonal |
| | | C/,2no5 |
| | | 1-9/8-9/7 |
| | | 1/(9:8:7) |
| | |- |
| | | 34 |
| | | 0-11-13 |
| | | 1-7/6-7/4 |
| | | utonal |
| | | C\m7no5 |
| | | |
| | | 1/(7:6:4) |
| | |- |
| | | 35 |
| | | 0-12-13 |
| | | 1-10/7-7/4 |
| | | werckismic |
| | | C~(b5) |
| | | 1-11/9-7/5 |
| | | |
| | |- |
| | | 36 |
| | | 0-8-20 |
| | | 1-14/11-20/11 |
| | | otonal |
| | | C,\~7no5 |
| | | |
| | | 11:14:20 |
| | |- |
| | | 37 |
| | | 0-9-20 |
| | | 1-14/9-20/11 |
| | | swetismic |
| | | |
| | | |
| | | |
| | |- |
| | | 38 |
| | | 0-11-20 |
| | | 1-7/6-20/11 |
| | | swetismic |
| | | C\m\~7no5 |
| | | |
| | | |
| | |- |
| | | 39 |
| | | 0-12-20 |
| | | 1-10/7-20/11 |
| | | utonal |
| | | C(b5) |
| | | |
| | | 1/(20:14:11) |
| | |- |
| | | 40 |
| | | 0-1-21 |
| | | 1-11/9-10/9 |
| | | otonal |
| | | C~,\9no5 |
| | | |
| | | 9:10:11 |
| | |- |
| | | 41 |
| | | 0-8-21 |
| | | 1-14/11-10/9 |
| | | werckismic |
| | | C,\9no5 |
| | | |
| | | |
| | |- |
| | | 42 |
| | | 0-9-21 |
| | | 1-14/9-10/9 |
| | | otonal |
| | | C/(\~5) |
| | | 1-9/7-10/7 |
| | | 7:9:10 |
| | |- |
| | | 43 |
| | | 0-12-21 |
| | | 1-10/7-10/9 |
| | | utonal |
| | | C\2(\~5) |
| | | |
| | | 1/(10:9:7) |
| | |- |
| | | 44 |
| | | 0-13-21 |
| | | 1-7/4-10/9 |
| | | werckismic |
| | | C\2\m7no5 |
| | | |
| | | |
| | |- |
| | | 45 |
| | | 0-20-21 |
| | | 1-20/11-10/9 |
| | | utonal |
| | | |
| | | |
| | | 1/(20:18:11) |
| | |- |
| | | 46 |
| | | 0-2-23 |
| | | 1-3/2-5/3 |
| | | otonal |
| | | C\m7no5 |
| | | 1-6/5-9/5 |
| | | 5:6:9 |
| | |- |
| | | 47 |
| | | 0-3-23 |
| | | 1-11/6-5/3 |
| | | otonal |
| | | |
| | | |
| | | 6:10:11 |
| | |- |
| | | 48 |
| | | 0-11-23 |
| | | 1-7/6-5/3 |
| | | otonal |
| | | C\m6no5 |
| | | |
| | | 6:7:10 |
| | |- |
| | | 49 |
| | | 0-12-23 |
| | | 1-10/7-5/3 |
| | | utonal |
| | | C/dim |
| | | 1-7/6-7/5 |
| | | 1/(10:7:6) |
| | |- |
| | | 50 |
| | | 0-20-23 |
| | | 1-20/11-5/3 |
| | | utonal |
| | | |
| | | |
| | | 1/(20:12:11) |
| | |- |
| | | 51 |
| | | 0-21-23 |
| | | 1-10/9-5/3 |
| | | utonal |
| | | C/7no3 |
| | | 1-3/2-9/5 |
| | | 1/(9:6:5) |
| | |- |
| | | 52 |
| | | 0-2-25 |
| | | 1-3/2-5/4 |
| | | otonal |
| | | C\ |
| | | |
| | | 4:5:6 |
| | |- |
| | | 53 |
| | | 0-4-25 |
| | | 1-9/8-5/4 |
| | | otonal |
| | | C\,9no5 |
| | | |
| | | 4:5:9 |
| | |- |
| | | 54 |
| | | 0-5-25 |
| | | 1-11/8-5/4 |
| | | otonal |
| | | C\(\b5) |
| | | |
| | | 8:10:11 |
| | |- |
| | | 55 |
| | | 0-12-25 |
| | | 1-10/7-5/4 |
| | | utonal |
| | | C\(\~5) |
| | | |
| | | 1/(10:8:7) |
| | |- |
| | | 56 |
| | | 0-13-25 |
| | | 1-7/4-5/4 |
| | | otonal |
| | | C\7no5 |
| | | |
| | | 4:5:6 |
| | |- |
| | | 57 |
| | | 0-20-25 |
| | | 1-20/11-5/4 |
| | | utonal |
| | | C\,\~7no5 |
| | | |
| | | 1/(20:16:11) |
| | |- |
| | | 58 |
| | | 0-21-25 |
| | | 1-10/9-5/4 |
| | | utonal |
| | | C/9no35 |
| | | 1-9/5-9/4 |
| | | 1/(9:5:4) |
| | |- |
| | | 59 |
| | | 0-23-25 |
| | | 1-5/3-5/4 |
| | | utonal |
| | | C/m |
| | | 1-6/5-3/2 |
| | | 1/(6:5:4) |
| | |} |
|
| |
|
| | == Tetrads == |
| | {| class="wikitable center-1" |
| | |- |
| | ! # |
| | ! Genspans |
| | ! Transversal |
| | ! Type |
| | ! Name |
| | ! Inversion |
| | ! As harmonics<br>or subharmonics |
| | |- |
| | | 1 |
| | | 0-1-2-3 |
| | | 1-11/9-3/2-11/6 |
| | | rastmic |
| | | C~7 |
| | | |
| | | |
| | |- |
| | | 2 |
| | | 0-1-2-4 |
| | | 1-11/9-3/2-9/8 |
| | | rastmic |
| | | C~,9 |
| | | |
| | | |
| | |- |
| | | 3 |
| | | 0-1-3-4 |
| | | 1-11/9-11/6-9/8 |
| | | rastmic |
| | | C~9no5 |
| | | |
| | | |
| | |- |
| | | 4 |
| | | 0-2-3-4 |
| | | 1-3/2-11/6-9/8 |
| | | rastmic |
| | | C~9no3 |
| | | |
| | | |
| | |- |
| | | 5 |
| | | 0-1-2-5 |
| | | 1-11/9-3/2-11/8 |
| | | rastmic |
| | | C~,~11 |
| | | |
| | | |
| | |- |
| | | 6 |
| | | 0-1-3-5 |
| | | 1-11/9-11/6-11/8 |
| | | utonal |
| | | C2~6 ''or''<br>C4~9 |
| | | 1-9/8-3/2-18/11<br>1-4/3-3/2-24/11 |
| | | 1/(18:16:12:11)<br>1/(24:18:16:11) |
| | |- |
| | | 7 |
| | | 0-2-3-5 |
| | | 1-3/2-11/6-11/8 |
| | | ambitonal |
| | | C~4~7 |
| | | |
| | | |
| | |- |
| | | 8 |
| | | 0-1-4-5 |
| | | 1-11/9-9/8-11/8 |
| | | rastmic |
| | | |
| | | |
| | | |
| | |- |
| | | 9 |
| | | 0-2-4-5 |
| | | 1-3/2-9/8-11/8 |
| | | otonal |
| | | C4~7 |
| | | 1-4/3-3/2-11/6 |
| | | 6:8:9:11 |
| | |- |
| | | 10 |
| | | 0-3-4-5 |
| | | 1-11/6-9/8-11/8 |
| | | rastmic |
| | | C~11no35 |
| | | |
| | | |
| | |- |
| | | 11 |
| | | 0-3-4-8 |
| | | 1-11/6-9/8-14/11 |
| | | parahemif |
| | | C9(~7)no5 |
| | | |
| | | |
| | |- |
| | | 12 |
| | | 0-3-5-8 |
| | | 1-11/6-11/8-14/11 |
| | | hemimin |
| | | C~2~11 |
| | | 1-12/11-11/8-3/2 |
| | | |
| | |- |
| | | 13 |
| | | 0-4-5-8 |
| | | 1-9/8-11/8-14/11 |
| | | parahemif |
| | | C~,~9 |
| | | 1-11/9-3/2-13/12 |
| | | |
| | |- |
| | | 14 |
| | | 0-1-4-9 |
| | | 1-11/9-9/8-14/9 |
| | | parahemif |
| | | C~,9(^5) |
| | | |
| | | |
| | |- |
| | | 15 |
| | | 0-1-5-9 |
| | | 1-11/9-11/8-14/9 |
| | | pentacircle |
| | | C,~6,9no5 |
| | | 1-14/11-18/11-9/4 |
| | | |
| | |- |
| | | 16 |
| | | 0-4-5-9 |
| | | 1-9/8-11/8-14/9 |
| | | pentacircle |
| | | C~,7(\b5) |
| | | 1-11/9-11/8-16/9 |
| | | |
| | |- |
| | | 17 |
| | | 0-4-8-9 |
| | | 1-9/8-14/11-14/9 |
| | | pentacircle |
| | | |
| | | |
| | | |
| | |- |
| | | 18 |
| | | 0-5-8-9 |
| | | 1-11/8-14/11-14/9 |
| | | parahemif |
| | | |
| | | |
| | | |
| | |- |
| | | 19 |
| | | 0-2-3-11 |
| | | 1-3/2-11/6-7/6 |
| | | otonal |
| | | C\m~7 |
| | | |
| | | 6:7:9:11 |
| | |- |
| | | 20 |
| | | 0-3-8-11 |
| | | 1-11/6-14/11-7/6 |
| | | hemimin |
| | | |
| | | |
| | | |
| | |- |
| | | 21 |
| | | 0-8-9-11 |
| | | 1-14/11-14/9-7/6 |
| | | utonal |
| | | C/,~6 |
| | | 1-9/7-3/2-18/11 |
| | | 1/(18:14:12:11) |
| | |- |
| | | 22 |
| | | 0-1-3-12 |
| | | 1-11/9-11/6-10/7 |
| | | swetismic |
| | | C\m~6 |
| | | 1-7/6-3/2-13/8 |
| | | |
| | |- |
| | | 23 |
| | | 0-1-4-12 |
| | | 1-11/9-9/8-10/7 |
| | | jove |
| | | |
| | | |
| | | |
| | |- |
| | | 24 |
| | | 0-3-4-12 |
| | | 1-11/6-9/8-10/7 |
| | | jove |
| | | |
| | | |
| | | |
| | |- |
| | | 25 |
| | | 0-3-8-12 |
| | | 1-11/6-14/11-10/7 |
| | | hemififths |
| | | |
| | | |
| | | |
| | |- |
| | | 26 |
| | | 0-4-8-12 |
| | | 1-9/8-14/11-10/7 |
| | | pele |
| | | C9no5 |
| | | 1-9/8-14/11-16/9 |
| | | |
| | |- |
| | | 27 |
| | | 0-1-9-12 |
| | | 1-11/9-14/9-10/7 |
| | | swetismic |
| | | |
| | | |
| | | |
| | |- |
| | | 28 |
| | | 0-4-9-12 |
| | | 1-9/8-14/9-10/7 |
| | | hemififths |
| | | |
| | | |
| | | |
| | |- |
| | | 29 |
| | | 0-8-9-12 |
| | | 1-14/11-14/9-10/7 |
| | | jove |
| | | |
| | | |
| | | |
| | |- |
| | | 30 |
| | | 0-3-11-12 |
| | | 1-11/6-7/6-10/7 |
| | | swetismic |
| | | |
| | | |
| | | |
| | |- |
| | | 31 |
| | | 0-8-11-12 |
| | | 1-14/11-7/6-10/7 |
| | | jove |
| | | |
| | | |
| | | |
| | |- |
| | | 32 |
| | | 0-9-11-12 |
| | | 1-14/9-7/6-10/7 |
| | | swetismic |
| | | |
| | | |
| | | |
| | |- |
| | | 33 |
| | | 0-1-2-13 |
| | | 1-11/9-3/2-7/4 |
| | | jove |
| | | C~,\7 |
| | | |
| | | |
| | |- |
| | | 34 |
| | | 0-1-4-13 |
| | | 1-11/9-9/8-7/4 |
| | | jove |
| | | |
| | | |
| | | |
| | |- |
| | | 35 |
| | | 0-2-4-13 |
| | | 1-3/2-9/8-7/4 |
| | | otonal |
| | | C\9no3 |
| | | |
| | | 4:6:7:9 |
| | |- |
| | | 36 |
| | | 0-1-5-13 |
| | | 1-11/9-11/8-7/4 |
| | | werckismic |
| | | |
| | | |
| | | |
| | |- |
| | | 37 |
| | | 0-2-5-13 |
| | | 1-3/2-11/8-7/4 |
| | | otonal |
| | | C~4,\7 |
| | | |
| | | 8:11:12:14 |
| | |- |
| | | 38 |
| | | 0-4-5-13 |
| | | 1-9/8-11/8-7/4 |
| | | otonal |
| | | C~4\7,9 ''or'' C~,7(^5) |
| | | 1-11/9-14/9-16/9 |
| | | 9:11:14:16 |
| | |- |
| | | 39 |
| | | 0-4-8-13 |
| | | 1-9/8-14/11-7/4 |
| | | pentacircle |
| | | |
| | | |
| | | |
| | |- |
| | | 40 |
| | | 0-5-8-13 |
| | | 1-11/8-14/11-7/4 |
| | | hemimin |
| | | |
| | | |
| | | |
| | |- |
| | | 41 |
| | | 0-1-9-13 |
| | | 1-11/9-14/9-7/4 |
| | | werckismic |
| | | |
| | | |
| | | |
| | |- |
| | | 42 |
| | | 0-4-9-13 |
| | | 1-9/8-14/9-7/4 |
| | | pentacircle |
| | | |
| | | |
| | | |
| | |- |
| | | 43 |
| | | 0-5-9-13 |
| | | 1-11/8-14/9-7/4 |
| | | pentacircle |
| | | |
| | | |
| | | |
| | |- |
| | | 44 |
| | | 0-8-9-13 |
| | | 1-14/11-14/9-7/4 |
| | | utonal |
| | | |
| | | |
| | | 1/(14:11:9:8) |
| | |- |
| | | 45 |
| | | 0-2-11-13 |
| | | 1-3/2-7/6-7/4 |
| | | ambitonal |
| | | C\m7 |
| | | |
| | | |
| | |- |
| | | 46 |
| | | 0-8-11-13 |
| | | 1-14/11-7/6-7/4 |
| | | utonal |
| | | |
| | | |
| | | 1/(14:12:11:8) |
| | |- |
| | | 47 |
| | | 0-9-11-13 |
| | | 1-14/9-7/6-7/4 |
| | | utonal |
| | | C/,9 |
| | | 1-9/7-3/2-9/4 |
| | | 1/(9:7:6:4) |
| | |- |
| | | 48 |
| | | 0-1-12-13 |
| | | 1-11/9-10/7-7/4 |
| | | jove |
| | | |
| | | |
| | | |
| | |- |
| | | 49 |
| | | 0-4-12-13 |
| | | 1-9/8-10/7-7/4 |
| | | werckismic |
| | | |
| | | |
| | | |
| | |- |
| | | 50 |
| | | 0-8-12-13 |
| | | 1-14/11-10/7-7/4 |
| | | werckismic |
| | | |
| | | |
| | | |
| | |- |
| | | 51 |
| | | 0-9-12-13 |
| | | 1-14/9-10/7-7/4 |
| | | jove |
| | | |
| | | |
| | | |
| | |- |
| | | 52 |
| | | 0-11-12-13 |
| | | 1-7/6-10/7-7/4 |
| | | jove |
| | | C~,/6 |
| | | 1-11/9-3/2-12/7 |
| | | |
| | |- |
| | | 53 |
| | | 0-8-9-20 |
| | | 1-14/11-14/9-20/11 |
| | | swetismic |
| | | |
| | | |
| | | |
| | |- |
| | | 54 |
| | | 0-8-11-20 |
| | | 1-14/11-7/6-20/11 |
| | | swetismic |
| | | |
| | | |
| | | |
| | |- |
| | | 55 |
| | | 0-9-11-20 |
| | | 1-14/9-7/6-20/11 |
| | | swetismic |
| | | |
| | | |
| | | |
| | |- |
| | | 56 |
| | | 0-8-12-20 |
| | | 1-14/11-10/7-20/11 |
| | | werckismic |
| | | |
| | | |
| | | |
| | |- |
| | | 57 |
| | | 0-9-12-20 |
| | | 1-14/9-10/7-20/11 |
| | | swetismic |
| | | |
| | | |
| | | |
| | |- |
| | | 58 |
| | | 0-11-12-20 |
| | | 1-7/6-10/7-20/11 |
| | | swetismic |
| | | |
| | | |
| | | |
| | |- |
| | | 59 |
| | | 0-1-9-21 |
| | | 1-11/9-14/9-10/9 |
| | | otonal |
| | | |
| | | |
| | | 9:10:11:14 |
| | |- |
| | | 60 |
| | | 0-8-9-21 |
| | | 1-14/11-14/9-10/9 |
| | | werckismic |
| | | |
| | | |
| | | |
| | |- |
| | | 61 |
| | | 0-1-12-21 |
| | | 1-11/9-10/7-10/9 |
| | | swetismic |
| | | |
| | | |
| | | |
| | |- |
| | | 62 |
| | | 0-8-12-21 |
| | | 1-14/11-10/7-10/9 |
| | | werckismic |
| | | |
| | | |
| | | |
| | |- |
| | | 63 |
| | | 0-9-12-21 |
| | | 1-14/9-10/7-10/9 |
| | | swetismic |
| | | |
| | | |
| | | |
| | |- |
| | | 64 |
| | | 0-1-13-21 |
| | | 1-11/9-7/4-10/9 |
| | | werckismic |
| | | |
| | | |
| | | |
| | |- |
| | | 65 |
| | | 0-8-13-21 |
| | | 1-14/11-7/4-10/9 |
| | | werckismic |
| | | |
| | | |
| | | |
| | |- |
| | | 66 |
| | | 0-9-13-21 |
| | | 1-14/9-7/4-10/9 |
| | | werckismic |
| | | |
| | | |
| | | |
| | |- |
| | | 67 |
| | | 0-12-13-21 |
| | | 1-10/7-7/4-10/9 |
| | | werckismic |
| | | |
| | | |
| | | |
| | |- |
| | | 68 |
| | | 0-8-20-21 |
| | | 1-14/11-20/11-10/9 |
| | | werckismic |
| | | |
| | | |
| | | |
| | |- |
| | | 69 |
| | | 0-9-20-21 |
| | | 1-14/9-20/11-10/9 |
| | | swetismic |
| | | |
| | | |
| | | |
| | |- |
| | | 70 |
| | | 0-12-20-21 |
| | | 1-10/7-20/11-10/9 |
| | | utonal |
| | | |
| | | |
| | | 1/(20:18:14:11) |
| | |- |
| | | 71 |
| | | 0-2-3-23 |
| | | 1-3/2-11/6-5/3 |
| | | otonal |
| | | |
| | | |
| | | 6:9:10:11 |
| | |- |
| | | 72 |
| | | 0-2-11-23 |
| | | 1-3/2-7/6-5/3 |
| | | otonal |
| | | C\m6 |
| | | |
| | | 6:7:9:10 |
| | |- |
| | | 73 |
| | | 0-3-11-23 |
| | | 1-11/6-7/6-5/3 |
| | | otonal |
| | | C\m6~7no5 |
| | | |
| | | 6:7:10:11 |
| | |- |
| | | 74 |
| | | 0-3-12-23 |
| | | 1-11/6-10/7-5/3 |
| | | swetismic |
| | | |
| | | |
| | | |
| | |- |
| | | 75 |
| | | 0-11-12-23 |
| | | 1-7/6-10/7-5/3 |
| | | swetismic |
| | | C\m6(\~5) |
| | | |
| | | |
| | |- |
| | | 76 |
| | | 0-11-20-23 |
| | | 1-7/6-20/11-5/3 |
| | | swetismic |
| | | |
| | | |
| | | |
| | |- |
| | | 77 |
| | | 0-12-20-23 |
| | | 1-10/7-20/11-5/3 |
| | | utonal |
| | | |
| | | |
| | | 1/(20:14:12:11) |
| | |- |
| | | 78 |
| | | 0-12-21-23 |
| | | 1-10/7-10/9-5/3 |
| | | utonal |
| | | C/7 |
| | | 1-9/7-3/2-9/5 |
| | | 1/(9:7:6:5) |
| | |- |
| | | 79 |
| | | 0-20-21-23 |
| | | 1-20/11-10/9-5/3 |
| | | utonal |
| | | C/7~13no3 |
| | | 1-3/2-18/11-9/5 |
| | | 1/(18:12:11:10) |
| | |- |
| | | 80 |
| | | 0-2-4-25 |
| | | 1-3/2-9/8-5/4 |
| | | otonal |
| | | C\,9 |
| | | |
| | | 4:5:6:9 |
| | |- |
| | | 81 |
| | | 0-2-5-25 |
| | | 1-3/2-11/8-5/4 |
| | | otonal |
| | | C\,~11 |
| | | |
| | | 8:10:11:12 |
| | |- |
| | | 82 |
| | | 0-4-5-25 |
| | | 1-9/8-11/8-5/4 |
| | | otonal |
| | | C\,9(\b5) |
| | | |
| | | 8:9:10:11 |
| | |- |
| | | 83 |
| | | 0-4-12-25 |
| | | 1-9/8-10/7-5/4 |
| | | werckismic |
| | | C,9(\~5) |
| | | |
| | | |
| | |- |
| | | 84 |
| | | 0-2-13-25 |
| | | 1-3/2-7/4-5/4 |
| | | otonal |
| | | C\7 |
| | | |
| | | 4:5:6:7 |
| | |- |
| | | 85 |
| | | 0-4-13-25 |
| | | 1-9/8-7/4-5/4 |
| | | otonal |
| | | C\9no5 |
| | | |
| | | 4:5:7:9 |
| | |- |
| | | 86 |
| | | 0-5-13-25 |
| | | 1-11/8-7/4-5/4 |
| | | otonal |
| | | C\7~11no5 |
| | | |
| | | 4:5:7:11 |
| | |- |
| | | 87 |
| | | 0-12-13-25 |
| | | 1-10/7-7/4-5/4 |
| | | werckismic |
| | | C\7(\~5) |
| | | |
| | | |
| | |- |
| | | 88 |
| | | 0-12-20-25 |
| | | 1-10/7-20/11-5/4 |
| | | utonal |
| | | C,\7(b5) |
| | | 1-14/11-7/5-7/4 |
| | | 1/(20:16:14:11) |
| | |- |
| | | 89 |
| | | 0-12-21-25 |
| | | 1-10/7-10/9-5/4 |
| | | utonal |
| | | C/9no5 |
| | | 1-9/7-9/5-9/4 |
| | | 1/(10:9:8:7) |
| | |- |
| | | 90 |
| | | 0-13-21-25 |
| | | 1-7/4-10/9-5/4 |
| | | werckismic |
| | | C\7\9no5 |
| | | |
| | | |
| | |- |
| | | 91 |
| | | 0-20-21-25 |
| | | 1-20/11-10/9-5/4 |
| | | utonal |
| | | C2~6^7no5 |
| | | 1-18/11-9/5-9/4 |
| | | 1/(20:18:16:11) |
| | |- |
| | | 92 |
| | | 0-2-23-25 |
| | | 1-3/2-5/3-5/4 |
| | | ambitonal |
| | | C\6 <u>or</u> C/m7 |
| | | 1-6/5-3/2-9/5 |
| | | |
| | |- |
| | | 93 |
| | | 0-12-23-25 |
| | | 1-10/7-5/3-5/4 |
| | | utonal |
| | | C/m6<br>C\m7(b5) |
| | | 1-6/5-3/2-12/7<br>1-7/6-7/5-7/4 |
| | | 1/(12:10:8:7)<br>1/(7:6:5:4) |
| | |- |
| | | 94 |
| | | 0-20-23-25 |
| | | 1-20/11-5/3-5/4 |
| | | utonal |
| | | C/m,~9 |
| | | 1-6/5-3/2-24/11 |
| | | 1/(24:20:18:11) |
| | |- |
| | | 95 |
| | | 0-21-23-25 |
| | | 1-10/9-5/3-5/4 |
| | | utonal |
| | | C/9no3 |
| | | 1-3/2-9/5-9/4 |
| | | 1/(9:6:5:4) |
| | |} |
|
| |
|
| <table class="wiki_table">
| | == Pentads == |
| <tr>
| | {| class="wikitable center-1" |
| <td>Number<br />
| | |- |
| </td>
| | ! # |
| <td>Chord<br />
| | ! Genspans |
| </td>
| | ! Transversal |
| <td>Transversal<br />
| | ! Type |
| </td>
| | ! Name |
| <td>Type<br />
| | ! Inversion |
| </td>
| | ! As harmonics<br>or subharmonics |
| </tr>
| | |- |
| <tr>
| | | 1 |
| <td>1<br />
| | | 0-1-2-3-4 |
| </td>
| | | 1-11/9-3/2-11/6-9/8 |
| <td>0-1-2<br />
| | | rastmic |
| </td>
| | | C~9 |
| <td>1-11/9-3/2<br />
| | | |
| </td>
| | | |
| <td>rastmic<br />
| | |- |
| </td>
| | | 2 |
| </tr>
| | | 0-1-2-3-5 |
| <tr>
| | | 1-11/9-3/2-11/6-11/8 |
| <td>2<br />
| | | rastmic |
| </td>
| | | C~11no9 |
| <td>0-1-3<br />
| | | |
| </td>
| | | |
| <td>1-11/9-11/6<br />
| | |- |
| </td>
| | | 3 |
| <td>utonal<br />
| | | 0-1-2-4-5 |
| </td>
| | | 1-11/9-3/2-9/8-11/8 |
| </tr>
| | | rastmic |
| <tr>
| | | C~11no7 |
| <td>3<br />
| | | |
| </td>
| | | |
| <td>0-2-3<br />
| | |- |
| </td>
| | | 4 |
| <td>1-3/2-11/6<br />
| | | 0-1-3-4-5 |
| </td>
| | | 1-11/9-11/6-9/8-11/8 |
| <td>otonal<br />
| | | rastmic |
| </td>
| | | C~11no5 |
| </tr>
| | | |
| <tr>
| | | |
| <td>4<br />
| | |- |
| </td>
| | | 5 |
| <td>0-1-4<br />
| | | 0-2-3-4-5 |
| </td>
| | | 1-3/2-11/6-9/8-11/8 |
| <td>1-11/9-9/8<br />
| | | rastmic |
| </td>
| | | C~11no3 |
| <td>rastmic<br />
| | | |
| </td>
| | | |
| </tr>
| | |- |
| <tr>
| | | 6 |
| <td>5<br />
| | | 0-3-4-5-8 |
| </td>
| | | 1-11/6-9/8-11/8-14/11 |
| <td>0-2-4<br />
| | | parahemif |
| </td>
| | | |
| <td>1-3/2-9/8<br />
| | | |
| </td>
| | | |
| <td>ambitonal<br />
| | |- |
| </td>
| | | 7 |
| </tr>
| | | 0-1-4-5-9 |
| <tr>
| | | 1-11/9-9/8-11/8-14/9 |
| <td>6<br />
| | | parahemif |
| </td>
| | | |
| <td>0-3-4<br />
| | | |
| </td>
| | | |
| <td>1-11/6-9/8<br />
| | |- |
| </td>
| | | 8 |
| <td>rastmic<br />
| | | 0-4-5-8-9 |
| </td>
| | | 1-9/8-11/8-14/11-14/9 |
| </tr>
| | | parahemif |
| <tr>
| | | |
| <td>7<br />
| | | |
| </td>
| | | |
| <td>0-1-5<br />
| | |- |
| </td>
| | | 9 |
| <td>1-11/9-11/8<br />
| | | 0-1-3-4-12 |
| </td>
| | | 1-11/9-11/6-9/8-10/7 |
| <td>utonal<br />
| | | jove |
| </td>
| | | |
| </tr>
| | | |
| <tr>
| | | |
| <td>8<br />
| | |- |
| </td>
| | | 10 |
| <td>0-2-5<br />
| | | 0-3-4-8-12 |
| </td>
| | | 1-11/6-9/8-14/11-10/7 |
| <td>1-3/2-11/8<br />
| | | hemififths |
| </td>
| | | |
| <td>otonal<br />
| | | |
| </td>
| | | |
| </tr>
| | |- |
| <tr>
| | | 11 |
| <td>9<br />
| | | 0-1-4-9-12 |
| </td>
| | | 1-11/9-9/8-14/9-10/7 |
| <td>0-3-5<br />
| | | hemififths |
| </td>
| | | |
| <td>1-11/6-11/8<br />
| | | |
| </td>
| | | |
| <td>utonal<br />
| | |- |
| </td>
| | | 12 |
| </tr>
| | | 0-4-8-9-12 |
| <tr>
| | | 1-9/8-14/11-14/9-10/7 |
| <td>10<br />
| | | hemififths |
| </td>
| | | |
| <td>0-4-5<br />
| | | |
| </td>
| | | |
| <td>1-9/8-11/8<br />
| | |- |
| </td>
| | | 13 |
| <td>otonal<br />
| | | 0-3-8-11-12 |
| </td>
| | | 1-11/6-14/11-7/6-10/7 |
| </tr>
| | | hemififths |
| <tr>
| | | |
| <td>11<br />
| | | |
| </td>
| | | |
| <td>0-3-8<br />
| | |- |
| </td>
| | | 14 |
| <td>1-11/6-14/11<br />
| | | 0-8-9-11-12 |
| </td>
| | | 1-14/11-14/9-7/6-10/7 |
| <td>hemimin<br />
| | | jove |
| </td>
| | | |
| </tr>
| | | |
| <tr>
| | | |
| <td>12<br />
| | |- |
| </td>
| | | 15 |
| <td>0-4-8<br />
| | | 0-1-2-4-13 |
| </td>
| | | 1-11/9-3/2-9/8-7/4 |
| <td>1-9/8-14/11<br />
| | | jove |
| </td>
| | | C~9(\m7) |
| <td>pentacircle<br />
| | | |
| </td>
| | | |
| </tr>
| | |- |
| <tr>
| | | 16 |
| <td>13<br />
| | | 0-1-2-5-13 |
| </td>
| | | 1-11/9-3/2-11/8-7/4 |
| <td>0-5-8<br />
| | | jove |
| </td>
| | | |
| <td>1-11/8-14/11<br />
| | | |
| </td>
| | | |
| <td>hemimin<br />
| | |- |
| </td>
| | | 17 |
| </tr>
| | | 0-1-4-5-13 |
| <tr>
| | | 1-11/9-9/8-11/8-7/4 |
| <td>14<br />
| | | jove |
| </td>
| | | |
| <td>0-1-9<br />
| | | |
| </td>
| | | |
| <td>1-11/9-14/9<br />
| | |- |
| </td>
| | | 18 |
| <td>otonal<br />
| | | 0-2-4-5-13 |
| </td>
| | | 1-3/2-9/8-11/8-7/4 |
| </tr>
| | | otonal |
| <tr>
| | | C\9~11no3 |
| <td>15<br />
| | | |
| </td>
| | | 4:6:7:9:11 |
| <td>0-4-9<br />
| | |- |
| </td>
| | | 19 |
| <td>1-9/8-14/9<br />
| | | 0-4-5-8-13 |
| </td>
| | | 1-9/8-11/8-14/11-7/4 |
| <td>pentacircle<br />
| | | parahemif |
| </td>
| | | |
| </tr>
| | | |
| <tr>
| | | |
| <td>16<br />
| | |- |
| </td>
| | | 20 |
| <td>0-5-9<br />
| | | 0-1-4-9-13 |
| </td>
| | | 1-11/9-9/8-14/9-7/4 |
| <td>1-11/8-14/9<br />
| | | hemififths |
| </td>
| | | |
| <td>pentacircle<br />
| | | |
| </td>
| | | |
| </tr>
| | |- |
| <tr>
| | | 21 |
| <td>17<br />
| | | 0-1-5-9-13 |
| </td>
| | | 1-11/9-11/8-14/9-7/4 |
| <td>0-8-9<br />
| | | pele |
| </td>
| | | |
| <td>1-14/11-14/9<br />
| | | |
| </td>
| | | |
| <td>utonal<br />
| | |- |
| </td>
| | | 22 |
| </tr>
| | | 0-4-5-9-13 |
| <tr>
| | | 1-9/8-11/8-14/9-7/4 |
| <td>18<br />
| | | pentacircle |
| </td>
| | | |
| <td>0-2-11<br />
| | | |
| </td>
| | | |
| <td>1-3/2-7/6<br />
| | |- |
| </td>
| | | 23 |
| <td>otonal<br />
| | | 0-4-8-9-13 |
| </td>
| | | 1-9/8-14/11-14/9-7/4 |
| </tr>
| | | pentacircle |
| <tr>
| | | |
| <td>19<br />
| | | |
| </td>
| | | |
| <td>0-3-11<br />
| | |- |
| </td>
| | | 24 |
| <td>1-11/6-7/6<br />
| | | 0-5-8-9-13 |
| </td>
| | | 1-11/8-14/11-14/9-7/4 |
| <td>otonal<br />
| | | parahemif |
| </td>
| | | |
| </tr>
| | | |
| <tr>
| | | |
| <td>20<br />
| | |- |
| </td>
| | | 25 |
| <td>0-8-11<br />
| | | 0-8-9-11-13 |
| </td>
| | | 1-14/11-14/9-7/6-7/4 |
| <td>1-14/11-7/6<br />
| | | utonal |
| </td>
| | | C/,~6,9 |
| <td>utonal<br />
| | | 1-9/7-3/2-18/11-9/4 |
| </td>
| | | 1/(18:14:12:11:8) |
| </tr>
| | |- |
| <tr>
| | | 26 |
| <td>21<br />
| | | 0-1-4-12-13 |
| </td>
| | | 1-11/9-9/8-10/7-7/4 |
| <td>0-9-11<br />
| | | jove |
| </td>
| | | |
| <td>1-14/9-7/6<br />
| | | |
| </td>
| | | |
| <td>utonal<br />
| | |- |
| </td>
| | | 27 |
| </tr>
| | | 0-4-8-12-13 |
| <tr>
| | | 1-9/8-14/11-10/7-7/4 |
| <td>22<br />
| | | pele |
| </td>
| | | |
| <td>0-1-12<br />
| | | |
| </td>
| | | |
| <td>1-11/9-10/7<br />
| | |- |
| </td>
| | | 28 |
| <td>swetismic<br />
| | | 0-1-9-12-13 |
| </td>
| | | 1-11/9-14/9-10/7-7/4 |
| </tr>
| | | jove |
| <tr>
| | | |
| <td>23<br />
| | | |
| </td>
| | | |
| <td>0-3-12<br />
| | |- |
| </td>
| | | 29 |
| <td>1-11/6-10/7<br />
| | | 0-4-9-12-13 |
| </td>
| | | 1-9/8-14/9-10/7-7/4 |
| <td>swetismic<br />
| | | hemififths |
| </td>
| | | |
| </tr>
| | | |
| <tr>
| | | |
| <td>24<br />
| | |- |
| </td>
| | | 30 |
| <td>0-4-12<br />
| | | 0-8-9-12-13 |
| </td>
| | | 1-14/11-14/9-10/7-7/4 |
| <td>1-9/8-10/7<br />
| | | jove |
| </td>
| | | |
| <td>werckismic<br />
| | | |
| </td>
| | | |
| </tr>
| | |- |
| <tr>
| | | 31 |
| <td>25<br />
| | | 0-8-11-12-13 |
| </td>
| | | 1-14/11-7/6-10/7-7/4 |
| <td>0-8-12<br />
| | | jove |
| </td>
| | | |
| <td>1-14/11-10/7<br />
| | | |
| </td>
| | | |
| <td>werckismic<br />
| | |- |
| </td>
| | | 32 |
| </tr>
| | | 0-9-11-12-13 |
| <tr>
| | | 1-14/9-7/6-10/7-7/4 |
| <td>26<br />
| | | jove |
| </td>
| | | |
| <td>0-9-12<br />
| | | |
| </td>
| | | |
| <td>1-14/9-10/7<br />
| | |- |
| </td>
| | | 33 |
| <td>swetismic<br />
| | | 0-8-9-11-20 |
| </td>
| | | 1-14/11-14/9-7/6-20/11 |
| </tr>
| | | swetismic |
| <tr>
| | | |
| <td>27<br />
| | | |
| </td>
| | | |
| <td>0-11-12<br />
| | |- |
| </td>
| | | 34 |
| <td>1-7/6-10/7<br />
| | | 0-8-9-12-20 |
| </td>
| | | 1-14/11-14/9-10/7-20/11 |
| <td>swetismic<br />
| | | jove |
| </td>
| | | |
| </tr>
| | | |
| <tr>
| | | |
| <td>28<br />
| | |- |
| </td>
| | | 35 |
| <td>0-1-13<br />
| | | 0-8-11-12-20 |
| </td>
| | | 1-14/11-7/6-10/7-20/11 |
| <td>1-11/9-7/4<br />
| | | jove |
| </td>
| | | |
| <td>werckismic<br />
| | | |
| </td>
| | | |
| </tr>
| | |- |
| <tr>
| | | 36 |
| <td>29<br />
| | | 0-9-11-12-20 |
| </td>
| | | 1-14/9-7/6-10/7-20/11 |
| <td>0-2-13<br />
| | | swetismic |
| </td>
| | | |
| <td>1-3/2-7/4<br />
| | | |
| </td>
| | | |
| <td>otonal<br />
| | |- |
| </td>
| | | 37 |
| </tr>
| | | 0-1-9-12-21 |
| <tr>
| | | 1-11/9-14/9-10/7-10/9 |
| <td>30<br />
| | | swetismic |
| </td>
| | | |
| <td>0-4-13<br />
| | | |
| </td>
| | | |
| <td>1-9/8-7/4<br />
| | |- |
| </td>
| | | 38 |
| <td>otonal<br />
| | | 0-8-9-12-21 |
| </td>
| | | 1-14/11-14/9-10/7-10/9 |
| </tr>
| | | jove |
| <tr>
| | | |
| <td>31<br />
| | | |
| </td>
| | | |
| <td>0-5-13<br />
| | |- |
| </td>
| | | 39 |
| <td>1-11/8-7/4<br />
| | | 0-1-9-13-21 |
| </td>
| | | 1-11/9-14/9-7/4-10/9 |
| <td>otonal<br />
| | | werckismic |
| </td>
| | | |
| </tr>
| | | |
| <tr>
| | | |
| <td>32<br />
| | |- |
| </td>
| | | 40 |
| <td>0-8-13<br />
| | | 0-8-9-13-21 |
| </td>
| | | 1-14/11-14/9-7/4-10/9 |
| <td>1-14/11-7/4<br />
| | | werckismic |
| </td>
| | | |
| <td>utonal<br />
| | | |
| </td>
| | | |
| </tr>
| | |- |
| <tr>
| | | 41 |
| <td>33<br />
| | | 0-1-12-13-21 |
| </td>
| | | 1-11/9-10/7-7/4-10/9 |
| <td>0-9-13<br />
| | | jove |
| </td>
| | | |
| <td>1-14/9-7/4<br />
| | | |
| </td>
| | | |
| <td>utonal<br />
| | |- |
| </td>
| | | 42 |
| </tr>
| | | 0-8-12-13-21 |
| <tr>
| | | 1-14/11-10/7-7/4-10/9 |
| <td>34<br />
| | | werckismic |
| </td>
| | | |
| <td>0-11-13<br />
| | | |
| </td>
| | | |
| <td>1-7/6-7/4<br />
| | |- |
| </td>
| | | 43 |
| <td>utonal<br />
| | | 0-9-12-13-21 |
| </td>
| | | 1-14/9-10/7-7/4-10/9 |
| </tr>
| | | jove |
| <tr>
| | | |
| <td>35<br />
| | | |
| </td>
| | | |
| <td>0-12-13<br />
| | |- |
| </td>
| | | 44 |
| <td>1-10/7-7/4<br />
| | | 0-8-9-20-21 |
| </td>
| | | 1-14/11-14/9-20/11-10/9 |
| <td>werckismic<br />
| | | jove |
| </td>
| | | |
| </tr>
| | | |
| <tr>
| | | |
| <td>36<br />
| | |- |
| </td>
| | | 45 |
| <td>0-8-20<br />
| | | 0-8-12-20-21 |
| </td>
| | | 1-14/11-10/7-20/11-10/9 |
| <td>1-14/11-20/11<br />
| | | werckismic |
| </td>
| | | |
| <td>otonal<br />
| | | |
| </td>
| | | |
| </tr>
| | |- |
| <tr>
| | | 46 |
| <td>37<br />
| | | 0-9-12-20-21 |
| </td>
| | | 1-14/9-10/7-20/11-10/9 |
| <td>0-9-20<br />
| | | swetismic |
| </td>
| | | |
| <td>1-14/9-20/11<br />
| | | |
| </td>
| | | |
| <td>swetismic<br />
| | |- |
| </td>
| | | 47 |
| </tr>
| | | 0-2-3-11-23 |
| <tr>
| | | 1-3/2-11/6-7/6-5/3 |
| <td>38<br />
| | | otonal |
| </td>
| | | C\m6~7 |
| <td>0-11-20<br />
| | | |
| </td>
| | | 6:7:9:10:11 |
| <td>1-7/6-20/11<br />
| | |- |
| </td>
| | | 48 |
| <td>swetismic<br />
| | | 0-3-11-12-23 |
| </td>
| | | 1-11/6-7/6-10/7-5/3 |
| </tr>
| | | swetismic |
| <tr>
| | | |
| <td>39<br />
| | | |
| </td>
| | | |
| <td>0-12-20<br />
| | |- |
| </td>
| | | 49 |
| <td>1-10/7-20/11<br />
| | | 0-11-12-20-23 |
| </td>
| | | 1-7/6-10/7-20/11-5/3 |
| <td>utonal<br />
| | | swetismic |
| </td>
| | | |
| </tr>
| | | |
| <tr>
| | | |
| <td>40<br />
| | |- |
| </td>
| | | 50 |
| <td>0-1-21<br />
| | | 0-12-20-21-23 |
| </td>
| | | 1-10/7-20/11-10/9-5/3 |
| <td>1-11/9-10/9<br />
| | | utonal |
| </td>
| | | C/7~6 |
| <td>otonal<br />
| | | 1-9/7-3/2-18/11-9/5 |
| </td>
| | | 1/(18:14:12:11:10) |
| </tr>
| | |- |
| <tr>
| | | 51 |
| <td>41<br />
| | | 0-2-4-5-25 |
| </td>
| | | 1-3/2-9/8-11/8-5/4 |
| <td>0-8-21<br />
| | | otonal |
| </td>
| | | C\,9~11 |
| <td>1-14/11-10/9<br />
| | | |
| </td>
| | | 4:5:6:9:11 |
| <td>werckismic<br />
| | |- |
| </td>
| | | 52 |
| </tr>
| | | 0-2-4-13-25 |
| <tr>
| | | 1-3/2-9/8-7/4-5/4 |
| <td>42<br />
| | | otonal |
| </td>
| | | C\9 |
| <td>0-9-21<br />
| | | |
| </td>
| | | 4:5:6:7:9 |
| <td>1-14/9-10/9<br />
| | |- |
| </td>
| | | 53 |
| <td>otonal<br />
| | | 0-2-5-13-25 |
| </td>
| | | 1-3/2-11/8-7/4-5/4 |
| </tr>
| | | otonal |
| <tr>
| | | C\7~11 |
| <td>43<br />
| | | |
| </td>
| | | 4:5:6:7:11 |
| <td>0-12-21<br />
| | |- |
| </td>
| | | 54 |
| <td>1-10/7-10/9<br />
| | | 0-4-5-13-25 |
| </td>
| | | 1-9/8-11/8-7/4-5/4 |
| <td>utonal<br />
| | | otonal |
| </td>
| | | C\9~11no5 |
| </tr>
| | | |
| <tr>
| | | 4:5:7:9:11 |
| <td>44<br />
| | |- |
| </td>
| | | 55 |
| <td>0-13-21<br />
| | | 0-4-12-13-25 |
| </td>
| | | 1-9/8-10/7-7/4-5/4 |
| <td>1-7/4-10/9<br />
| | | werckismic |
| </td>
| | | C\9(\~5) |
| <td>werckismic<br />
| | | |
| </td>
| | | |
| </tr>
| | |- |
| <tr>
| | | 56 |
| <td>45<br />
| | | 0-12-13-21-25 |
| </td>
| | | 1-10/7-7/4-10/9-5/4 |
| <td>0-20-21<br />
| | | werckismic |
| </td>
| | | |
| <td>1-20/11-10/9<br />
| | | |
| </td>
| | | |
| <td>utonal<br />
| | |- |
| </td>
| | | 57 |
| </tr>
| | | 0-12-20-21-25 |
| <tr>
| | | 1-10/7-20/11-10/9-5/4 |
| <td>46<br />
| | | utonal |
| </td>
| | | C/9~6no5 |
| <td>0-2-23<br />
| | | 1-9/7-18/11-9/5-9/4 |
| </td>
| | | 1/(18:14:11:10:8) |
| <td>1-3/2-5/3<br />
| | |- |
| </td>
| | | 58 |
| <td>otonal<br />
| | | 0-12-20-23-25 |
| </td>
| | | 1-10/7-20/11-5/3-5/4 |
| </tr>
| | | utonal |
| <tr>
| | | C/m6~9 |
| <td>47<br />
| | | 1-6/5-3/2-12/7-24/11 |
| </td>
| | | 1/(24:20:16:14:11) |
| <td>0-3-23<br />
| | |- |
| </td>
| | | 59 |
| <td>1-11/6-5/3<br />
| | | 0-12-21-23-25 |
| </td>
| | | 1-10/7-10/9-5/3-5/4 |
| <td>otonal<br />
| | | utonal |
| </td>
| | | C/9 |
| </tr>
| | | 1-9/7-3/2-9/5-9/4 |
| <tr>
| | | 1/(9:7:6:5:4) |
| <td>48<br />
| | |- |
| </td>
| | | 60 |
| <td>0-11-23<br />
| | | 0-20-21-23-25 |
| </td>
| | | 1-20/11-10/9-5/3-5/4 |
| <td>1-7/6-5/3<br />
| | | utonal |
| </td>
| | | C/9~6no3 |
| <td>otonal<br />
| | | 1-3/2-18/11-9/5-9/4 |
| </td>
| | | 1/(18:12:11:10:8) |
| </tr>
| | |} |
| <tr>
| |
| <td>49<br />
| |
| </td>
| |
| <td>0-12-23<br />
| |
| </td>
| |
| <td>1-10/7-5/3<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>50<br />
| |
| </td>
| |
| <td>0-20-23<br />
| |
| </td>
| |
| <td>1-20/11-5/3<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>51<br />
| |
| </td>
| |
| <td>0-21-23<br />
| |
| </td>
| |
| <td>1-10/9-5/3<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>52<br />
| |
| </td>
| |
| <td>0-2-25<br />
| |
| </td>
| |
| <td>1-3/2-5/4<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>53<br />
| |
| </td>
| |
| <td>0-4-25<br />
| |
| </td>
| |
| <td>1-9/8-5/4<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>54<br />
| |
| </td>
| |
| <td>0-5-25<br />
| |
| </td>
| |
| <td>1-11/8-5/4<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>55<br />
| |
| </td>
| |
| <td>0-12-25<br />
| |
| </td>
| |
| <td>1-10/7-5/4<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>56<br />
| |
| </td>
| |
| <td>0-13-25<br />
| |
| </td>
| |
| <td>1-7/4-5/4<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>57<br />
| |
| </td>
| |
| <td>0-20-25<br />
| |
| </td>
| |
| <td>1-20/11-5/4<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>58<br />
| |
| </td>
| |
| <td>0-21-25<br />
| |
| </td>
| |
| <td>1-10/9-5/4<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>59<br />
| |
| </td>
| |
| <td>0-23-25<br />
| |
| </td>
| |
| <td>1-5/3-5/4<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | == Hexads == |
| <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Tetrads"></a><!-- ws:end:WikiTextHeadingRule:2 -->Tetrads</h1>
| | {| class="wikitable center-1" |
| | |- |
| | ! # |
| | ! Genspans |
| | ! Transversal |
| | ! Type |
| | ! Name |
| | ! Inversion |
| | ! As harmonics<br>or subharmonics |
| | |- |
| | | 1 |
| | | 0-1-2-3-4-5 |
| | | 1-11/9-3/2-11/6-9/8-11/8 |
| | | rastmic |
| | | C~11 |
| | | |
| | | |
| | |- |
| | | 2 |
| | | 0-1-2-4-5-13 |
| | | 1-11/9-3/2-9/8-11/8-7/4 |
| | | jove |
| | | C~11(\m7) |
| | | |
| | | |
| | |- |
| | | 3 |
| | | 0-1-4-5-9-13 |
| | | 1-11/9-9/8-11/8-14/9-7/4 |
| | | hemififths |
| | | |
| | | |
| | | |
| | |- |
| | | 4 |
| | | 0-4-5-8-9-13 |
| | | 1-9/8-11/8-14/11-14/9-7/4 |
| | | hemififths |
| | | |
| | | |
| | | |
| | |- |
| | | 5 |
| | | 0-1-4-9-12-13 |
| | | 1-11/9-9/8-14/9-10/7-7/4 |
| | | hemififths |
| | | |
| | | |
| | | |
| | |- |
| | | 6 |
| | | 0-4-8-9-12-13 |
| | | 1-9/8-14/11-14/9-10/7-7/4 |
| | | hemififths |
| | | |
| | | |
| | | |
| | |- |
| | | 7 |
| | | 0-8-9-11-12-13 |
| | | 1-14/11-14/9-7/6-10/7-7/4 |
| | | jove |
| | | |
| | | |
| | | |
| | |- |
| | | 8 |
| | | 0-8-9-11-12-20 |
| | | 1-14/11-14/9-7/6-10/7-20/11 |
| | | jove |
| | | |
| | | |
| | | |
| | |- |
| | | 9 |
| | | 0-1-9-12-13-21 |
| | | 1-11/9-14/9-10/7-7/4-10/9 |
| | | jove |
| | | |
| | | |
| | | |
| | |- |
| | | 10 |
| | | 0-8-9-12-13-21 |
| | | 1-14/11-14/9-10/7-7/4-10/9 |
| | | jove |
| | | |
| | | |
| | | |
| | |- |
| | | 11 |
| | | 0-8-9-12-20-21 |
| | | 1-14/11-14/9-10/7-20/11-10/9 |
| | | jove |
| | | |
| | | |
| | | |
| | |- |
| | | 12 |
| | | 0-2-4-5-13-25 |
| | | 1-3/2-9/8-11/8-7/4-5/4 |
| | | otonal |
| | | C\9~11 |
| | | |
| | | 4:5:6:7:9:11 |
| | |- |
| | | 13 |
| | | 0-12-20-21-23-25 |
| | | 1-10/7-20/11-10/9-5/3-5/4 |
| | | utonal |
| | | C/9~6 |
| | | 1-9/7-3/2-18/11-9/5-9/4 |
| | | 1/(18:14:12:11:10:8) |
| | |} |
|
| |
|
| | | [[Category:Lists of chords]] |
| <table class="wiki_table">
| | [[Category:Hemififths]] |
| <tr>
| | [[Category:Triads]] |
| <td>Number<br />
| | [[Category:Tetrads]] |
| </td>
| | [[Category:Pentads]] |
| <td>Chord<br />
| | [[Category:Hexads]] |
| </td>
| |
| <td>Transversal<br />
| |
| </td>
| |
| <td>Type<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>1<br />
| |
| </td>
| |
| <td>0-1-2-3<br />
| |
| </td>
| |
| <td>1-11/9-3/2-11/6<br />
| |
| </td>
| |
| <td>rastmic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>2<br />
| |
| </td>
| |
| <td>0-1-2-4<br />
| |
| </td>
| |
| <td>1-11/9-3/2-9/8<br />
| |
| </td>
| |
| <td>rastmic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>3<br />
| |
| </td>
| |
| <td>0-1-3-4<br />
| |
| </td>
| |
| <td>1-11/9-11/6-9/8<br />
| |
| </td>
| |
| <td>rastmic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>4<br />
| |
| </td>
| |
| <td>0-2-3-4<br />
| |
| </td>
| |
| <td>1-3/2-11/6-9/8<br />
| |
| </td>
| |
| <td>rastmic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>5<br />
| |
| </td>
| |
| <td>0-1-2-5<br />
| |
| </td>
| |
| <td>1-11/9-3/2-11/8<br />
| |
| </td>
| |
| <td>rastmic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>6<br />
| |
| </td>
| |
| <td>0-1-3-5<br />
| |
| </td>
| |
| <td>1-11/9-11/6-11/8<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>7<br />
| |
| </td>
| |
| <td>0-2-3-5<br />
| |
| </td>
| |
| <td>1-3/2-11/6-11/8<br />
| |
| </td>
| |
| <td>ambitonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>8<br />
| |
| </td>
| |
| <td>0-1-4-5<br />
| |
| </td>
| |
| <td>1-11/9-9/8-11/8<br />
| |
| </td>
| |
| <td>rastmic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>9<br />
| |
| </td>
| |
| <td>0-2-4-5<br />
| |
| </td>
| |
| <td>1-3/2-9/8-11/8<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>10<br />
| |
| </td>
| |
| <td>0-3-4-5<br />
| |
| </td>
| |
| <td>1-11/6-9/8-11/8<br />
| |
| </td>
| |
| <td>rastmic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11<br />
| |
| </td>
| |
| <td>0-3-4-8<br />
| |
| </td>
| |
| <td>1-11/6-9/8-14/11<br />
| |
| </td>
| |
| <td>nofives<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>12<br />
| |
| </td>
| |
| <td>0-3-5-8<br />
| |
| </td>
| |
| <td>1-11/6-11/8-14/11<br />
| |
| </td>
| |
| <td>hemimin<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13<br />
| |
| </td>
| |
| <td>0-4-5-8<br />
| |
| </td>
| |
| <td>1-9/8-11/8-14/11<br />
| |
| </td>
| |
| <td>nofives<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>14<br />
| |
| </td>
| |
| <td>0-1-4-9<br />
| |
| </td>
| |
| <td>1-11/9-9/8-14/9<br />
| |
| </td>
| |
| <td>nofives<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>15<br />
| |
| </td>
| |
| <td>0-1-5-9<br />
| |
| </td>
| |
| <td>1-11/9-11/8-14/9<br />
| |
| </td>
| |
| <td>pentacircle<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>16<br />
| |
| </td>
| |
| <td>0-4-5-9<br />
| |
| </td>
| |
| <td>1-9/8-11/8-14/9<br />
| |
| </td>
| |
| <td>pentacircle<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>17<br />
| |
| </td>
| |
| <td>0-4-8-9<br />
| |
| </td>
| |
| <td>1-9/8-14/11-14/9<br />
| |
| </td>
| |
| <td>pentacircle<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>18<br />
| |
| </td>
| |
| <td>0-5-8-9<br />
| |
| </td>
| |
| <td>1-11/8-14/11-14/9<br />
| |
| </td>
| |
| <td>nofives<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>19<br />
| |
| </td>
| |
| <td>0-2-3-11<br />
| |
| </td>
| |
| <td>1-3/2-11/6-7/6<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>20<br />
| |
| </td>
| |
| <td>0-3-8-11<br />
| |
| </td>
| |
| <td>1-11/6-14/11-7/6<br />
| |
| </td>
| |
| <td>hemimin<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>21<br />
| |
| </td>
| |
| <td>0-8-9-11<br />
| |
| </td>
| |
| <td>1-14/11-14/9-7/6<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>22<br />
| |
| </td>
| |
| <td>0-1-3-12<br />
| |
| </td>
| |
| <td>1-11/9-11/6-10/7<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>23<br />
| |
| </td>
| |
| <td>0-1-4-12<br />
| |
| </td>
| |
| <td>1-11/9-9/8-10/7<br />
| |
| </td>
| |
| <td>jove<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>24<br />
| |
| </td>
| |
| <td>0-3-4-12<br />
| |
| </td>
| |
| <td>1-11/6-9/8-10/7<br />
| |
| </td>
| |
| <td>jove<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>25<br />
| |
| </td>
| |
| <td>0-3-8-12<br />
| |
| </td>
| |
| <td>1-11/6-14/11-10/7<br />
| |
| </td>
| |
| <td>hemififths<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>26<br />
| |
| </td>
| |
| <td>0-4-8-12<br />
| |
| </td>
| |
| <td>1-9/8-14/11-10/7<br />
| |
| </td>
| |
| <td>pele<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>27<br />
| |
| </td>
| |
| <td>0-1-9-12<br />
| |
| </td>
| |
| <td>1-11/9-14/9-10/7<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>28<br />
| |
| </td>
| |
| <td>0-4-9-12<br />
| |
| </td>
| |
| <td>1-9/8-14/9-10/7<br />
| |
| </td>
| |
| <td>hemififths<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>29<br />
| |
| </td>
| |
| <td>0-8-9-12<br />
| |
| </td>
| |
| <td>1-14/11-14/9-10/7<br />
| |
| </td>
| |
| <td>jove<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>30<br />
| |
| </td>
| |
| <td>0-3-11-12<br />
| |
| </td>
| |
| <td>1-11/6-7/6-10/7<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>31<br />
| |
| </td>
| |
| <td>0-8-11-12<br />
| |
| </td>
| |
| <td>1-14/11-7/6-10/7<br />
| |
| </td>
| |
| <td>jove<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>32<br />
| |
| </td>
| |
| <td>0-9-11-12<br />
| |
| </td>
| |
| <td>1-14/9-7/6-10/7<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>33<br />
| |
| </td>
| |
| <td>0-1-2-13<br />
| |
| </td>
| |
| <td>1-11/9-3/2-7/4<br />
| |
| </td>
| |
| <td>jove<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>34<br />
| |
| </td>
| |
| <td>0-1-4-13<br />
| |
| </td>
| |
| <td>1-11/9-9/8-7/4<br />
| |
| </td>
| |
| <td>jove<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>35<br />
| |
| </td>
| |
| <td>0-2-4-13<br />
| |
| </td>
| |
| <td>1-3/2-9/8-7/4<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>36<br />
| |
| </td>
| |
| <td>0-1-5-13<br />
| |
| </td>
| |
| <td>1-11/9-11/8-7/4<br />
| |
| </td>
| |
| <td>werckismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>37<br />
| |
| </td>
| |
| <td>0-2-5-13<br />
| |
| </td>
| |
| <td>1-3/2-11/8-7/4<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>38<br />
| |
| </td>
| |
| <td>0-4-5-13<br />
| |
| </td>
| |
| <td>1-9/8-11/8-7/4<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>39<br />
| |
| </td>
| |
| <td>0-4-8-13<br />
| |
| </td>
| |
| <td>1-9/8-14/11-7/4<br />
| |
| </td>
| |
| <td>pentacircle<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>40<br />
| |
| </td>
| |
| <td>0-5-8-13<br />
| |
| </td>
| |
| <td>1-11/8-14/11-7/4<br />
| |
| </td>
| |
| <td>hemimin<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>41<br />
| |
| </td>
| |
| <td>0-1-9-13<br />
| |
| </td>
| |
| <td>1-11/9-14/9-7/4<br />
| |
| </td>
| |
| <td>werckismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>42<br />
| |
| </td>
| |
| <td>0-4-9-13<br />
| |
| </td>
| |
| <td>1-9/8-14/9-7/4<br />
| |
| </td>
| |
| <td>pentacircle<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>43<br />
| |
| </td>
| |
| <td>0-5-9-13<br />
| |
| </td>
| |
| <td>1-11/8-14/9-7/4<br />
| |
| </td>
| |
| <td>pentacircle<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>44<br />
| |
| </td>
| |
| <td>0-8-9-13<br />
| |
| </td>
| |
| <td>1-14/11-14/9-7/4<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>45<br />
| |
| </td>
| |
| <td>0-2-11-13<br />
| |
| </td>
| |
| <td>1-3/2-7/6-7/4<br />
| |
| </td>
| |
| <td>ambitonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>46<br />
| |
| </td>
| |
| <td>0-8-11-13<br />
| |
| </td>
| |
| <td>1-14/11-7/6-7/4<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>47<br />
| |
| </td>
| |
| <td>0-9-11-13<br />
| |
| </td>
| |
| <td>1-14/9-7/6-7/4<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>48<br />
| |
| </td>
| |
| <td>0-1-12-13<br />
| |
| </td>
| |
| <td>1-11/9-10/7-7/4<br />
| |
| </td>
| |
| <td>jove<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>49<br />
| |
| </td>
| |
| <td>0-4-12-13<br />
| |
| </td>
| |
| <td>1-9/8-10/7-7/4<br />
| |
| </td>
| |
| <td>werckismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>50<br />
| |
| </td>
| |
| <td>0-8-12-13<br />
| |
| </td>
| |
| <td>1-14/11-10/7-7/4<br />
| |
| </td>
| |
| <td>werckismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>51<br />
| |
| </td>
| |
| <td>0-9-12-13<br />
| |
| </td>
| |
| <td>1-14/9-10/7-7/4<br />
| |
| </td>
| |
| <td>jove<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>52<br />
| |
| </td>
| |
| <td>0-11-12-13<br />
| |
| </td>
| |
| <td>1-7/6-10/7-7/4<br />
| |
| </td>
| |
| <td>jove<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>53<br />
| |
| </td>
| |
| <td>0-8-9-20<br />
| |
| </td>
| |
| <td>1-14/11-14/9-20/11<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>54<br />
| |
| </td>
| |
| <td>0-8-11-20<br />
| |
| </td>
| |
| <td>1-14/11-7/6-20/11<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>55<br />
| |
| </td>
| |
| <td>0-9-11-20<br />
| |
| </td>
| |
| <td>1-14/9-7/6-20/11<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>56<br />
| |
| </td>
| |
| <td>0-8-12-20<br />
| |
| </td>
| |
| <td>1-14/11-10/7-20/11<br />
| |
| </td>
| |
| <td>werckismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>57<br />
| |
| </td>
| |
| <td>0-9-12-20<br />
| |
| </td>
| |
| <td>1-14/9-10/7-20/11<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>58<br />
| |
| </td>
| |
| <td>0-11-12-20<br />
| |
| </td>
| |
| <td>1-7/6-10/7-20/11<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>59<br />
| |
| </td>
| |
| <td>0-1-9-21<br />
| |
| </td>
| |
| <td>1-11/9-14/9-10/9<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>60<br />
| |
| </td>
| |
| <td>0-8-9-21<br />
| |
| </td>
| |
| <td>1-14/11-14/9-10/9<br />
| |
| </td>
| |
| <td>werckismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>61<br />
| |
| </td>
| |
| <td>0-1-12-21<br />
| |
| </td>
| |
| <td>1-11/9-10/7-10/9<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>62<br />
| |
| </td>
| |
| <td>0-8-12-21<br />
| |
| </td>
| |
| <td>1-14/11-10/7-10/9<br />
| |
| </td>
| |
| <td>werckismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>63<br />
| |
| </td>
| |
| <td>0-9-12-21<br />
| |
| </td>
| |
| <td>1-14/9-10/7-10/9<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>64<br />
| |
| </td>
| |
| <td>0-1-13-21<br />
| |
| </td>
| |
| <td>1-11/9-7/4-10/9<br />
| |
| </td>
| |
| <td>werckismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>65<br />
| |
| </td>
| |
| <td>0-8-13-21<br />
| |
| </td>
| |
| <td>1-14/11-7/4-10/9<br />
| |
| </td>
| |
| <td>werckismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>66<br />
| |
| </td>
| |
| <td>0-9-13-21<br />
| |
| </td>
| |
| <td>1-14/9-7/4-10/9<br />
| |
| </td>
| |
| <td>werckismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>67<br />
| |
| </td>
| |
| <td>0-12-13-21<br />
| |
| </td>
| |
| <td>1-10/7-7/4-10/9<br />
| |
| </td>
| |
| <td>werckismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>68<br />
| |
| </td>
| |
| <td>0-8-20-21<br />
| |
| </td>
| |
| <td>1-14/11-20/11-10/9<br />
| |
| </td>
| |
| <td>werckismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>69<br />
| |
| </td>
| |
| <td>0-9-20-21<br />
| |
| </td>
| |
| <td>1-14/9-20/11-10/9<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>70<br />
| |
| </td>
| |
| <td>0-12-20-21<br />
| |
| </td>
| |
| <td>1-10/7-20/11-10/9<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>71<br />
| |
| </td>
| |
| <td>0-2-3-23<br />
| |
| </td>
| |
| <td>1-3/2-11/6-5/3<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>72<br />
| |
| </td>
| |
| <td>0-2-11-23<br />
| |
| </td>
| |
| <td>1-3/2-7/6-5/3<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>73<br />
| |
| </td>
| |
| <td>0-3-11-23<br />
| |
| </td>
| |
| <td>1-11/6-7/6-5/3<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>74<br />
| |
| </td>
| |
| <td>0-3-12-23<br />
| |
| </td>
| |
| <td>1-11/6-10/7-5/3<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>75<br />
| |
| </td>
| |
| <td>0-11-12-23<br />
| |
| </td>
| |
| <td>1-7/6-10/7-5/3<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>76<br />
| |
| </td>
| |
| <td>0-11-20-23<br />
| |
| </td>
| |
| <td>1-7/6-20/11-5/3<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>77<br />
| |
| </td>
| |
| <td>0-12-20-23<br />
| |
| </td>
| |
| <td>1-10/7-20/11-5/3<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>78<br />
| |
| </td>
| |
| <td>0-12-21-23<br />
| |
| </td>
| |
| <td>1-10/7-10/9-5/3<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>79<br />
| |
| </td>
| |
| <td>0-20-21-23<br />
| |
| </td>
| |
| <td>1-20/11-10/9-5/3<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>80<br />
| |
| </td>
| |
| <td>0-2-4-25<br />
| |
| </td>
| |
| <td>1-3/2-9/8-5/4<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>81<br />
| |
| </td>
| |
| <td>0-2-5-25<br />
| |
| </td>
| |
| <td>1-3/2-11/8-5/4<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>82<br />
| |
| </td>
| |
| <td>0-4-5-25<br />
| |
| </td>
| |
| <td>1-9/8-11/8-5/4<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>83<br />
| |
| </td>
| |
| <td>0-4-12-25<br />
| |
| </td>
| |
| <td>1-9/8-10/7-5/4<br />
| |
| </td>
| |
| <td>werckismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>84<br />
| |
| </td>
| |
| <td>0-2-13-25<br />
| |
| </td>
| |
| <td>1-3/2-7/4-5/4<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>85<br />
| |
| </td>
| |
| <td>0-4-13-25<br />
| |
| </td>
| |
| <td>1-9/8-7/4-5/4<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>86<br />
| |
| </td>
| |
| <td>0-5-13-25<br />
| |
| </td>
| |
| <td>1-11/8-7/4-5/4<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>87<br />
| |
| </td>
| |
| <td>0-12-13-25<br />
| |
| </td>
| |
| <td>1-10/7-7/4-5/4<br />
| |
| </td>
| |
| <td>werckismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>88<br />
| |
| </td>
| |
| <td>0-12-20-25<br />
| |
| </td>
| |
| <td>1-10/7-20/11-5/4<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>89<br />
| |
| </td>
| |
| <td>0-12-21-25<br />
| |
| </td>
| |
| <td>1-10/7-10/9-5/4<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>90<br />
| |
| </td>
| |
| <td>0-13-21-25<br />
| |
| </td>
| |
| <td>1-7/4-10/9-5/4<br />
| |
| </td>
| |
| <td>werckismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>91<br />
| |
| </td>
| |
| <td>0-20-21-25<br />
| |
| </td>
| |
| <td>1-20/11-10/9-5/4<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>92<br />
| |
| </td>
| |
| <td>0-2-23-25<br />
| |
| </td>
| |
| <td>1-3/2-5/3-5/4<br />
| |
| </td>
| |
| <td>ambitonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>93<br />
| |
| </td>
| |
| <td>0-12-23-25<br />
| |
| </td>
| |
| <td>1-10/7-5/3-5/4<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>94<br />
| |
| </td>
| |
| <td>0-20-23-25<br />
| |
| </td>
| |
| <td>1-20/11-5/3-5/4<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>95<br />
| |
| </td>
| |
| <td>0-21-23-25<br />
| |
| </td>
| |
| <td>1-10/9-5/3-5/4<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
| | |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Pentads"></a><!-- ws:end:WikiTextHeadingRule:4 -->Pentads</h1>
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| | |
| | |
| <table class="wiki_table">
| |
| <tr>
| |
| <td>Number<br />
| |
| </td>
| |
| <td>Chord<br />
| |
| </td>
| |
| <td>Transversal<br />
| |
| </td>
| |
| <td>Type<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>1<br />
| |
| </td>
| |
| <td>0-1-2-3-4<br />
| |
| </td>
| |
| <td>1-11/9-3/2-11/6-9/8<br />
| |
| </td>
| |
| <td>rastmic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>2<br />
| |
| </td>
| |
| <td>0-1-2-3-5<br />
| |
| </td>
| |
| <td>1-11/9-3/2-11/6-11/8<br />
| |
| </td>
| |
| <td>rastmic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>3<br />
| |
| </td>
| |
| <td>0-1-2-4-5<br />
| |
| </td>
| |
| <td>1-11/9-3/2-9/8-11/8<br />
| |
| </td>
| |
| <td>rastmic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>4<br />
| |
| </td>
| |
| <td>0-1-3-4-5<br />
| |
| </td>
| |
| <td>1-11/9-11/6-9/8-11/8<br />
| |
| </td>
| |
| <td>rastmic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>5<br />
| |
| </td>
| |
| <td>0-2-3-4-5<br />
| |
| </td>
| |
| <td>1-3/2-11/6-9/8-11/8<br />
| |
| </td>
| |
| <td>rastmic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>6<br />
| |
| </td>
| |
| <td>0-3-4-5-8<br />
| |
| </td>
| |
| <td>1-11/6-9/8-11/8-14/11<br />
| |
| </td>
| |
| <td>nofives<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>7<br />
| |
| </td>
| |
| <td>0-1-4-5-9<br />
| |
| </td>
| |
| <td>1-11/9-9/8-11/8-14/9<br />
| |
| </td>
| |
| <td>nofives<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>8<br />
| |
| </td>
| |
| <td>0-4-5-8-9<br />
| |
| </td>
| |
| <td>1-9/8-11/8-14/11-14/9<br />
| |
| </td>
| |
| <td>nofives<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>9<br />
| |
| </td>
| |
| <td>0-1-3-4-12<br />
| |
| </td>
| |
| <td>1-11/9-11/6-9/8-10/7<br />
| |
| </td>
| |
| <td>jove<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>10<br />
| |
| </td>
| |
| <td>0-3-4-8-12<br />
| |
| </td>
| |
| <td>1-11/6-9/8-14/11-10/7<br />
| |
| </td>
| |
| <td>hemififths<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11<br />
| |
| </td>
| |
| <td>0-1-4-9-12<br />
| |
| </td>
| |
| <td>1-11/9-9/8-14/9-10/7<br />
| |
| </td>
| |
| <td>hemififths<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>12<br />
| |
| </td>
| |
| <td>0-4-8-9-12<br />
| |
| </td>
| |
| <td>1-9/8-14/11-14/9-10/7<br />
| |
| </td>
| |
| <td>hemififths<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13<br />
| |
| </td>
| |
| <td>0-3-8-11-12<br />
| |
| </td>
| |
| <td>1-11/6-14/11-7/6-10/7<br />
| |
| </td>
| |
| <td>hemififths<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>14<br />
| |
| </td>
| |
| <td>0-8-9-11-12<br />
| |
| </td>
| |
| <td>1-14/11-14/9-7/6-10/7<br />
| |
| </td>
| |
| <td>jove<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>15<br />
| |
| </td>
| |
| <td>0-1-2-4-13<br />
| |
| </td>
| |
| <td>1-11/9-3/2-9/8-7/4<br />
| |
| </td>
| |
| <td>jove<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>16<br />
| |
| </td>
| |
| <td>0-1-2-5-13<br />
| |
| </td>
| |
| <td>1-11/9-3/2-11/8-7/4<br />
| |
| </td>
| |
| <td>jove<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>17<br />
| |
| </td>
| |
| <td>0-1-4-5-13<br />
| |
| </td>
| |
| <td>1-11/9-9/8-11/8-7/4<br />
| |
| </td>
| |
| <td>jove<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>18<br />
| |
| </td>
| |
| <td>0-2-4-5-13<br />
| |
| </td>
| |
| <td>1-3/2-9/8-11/8-7/4<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>19<br />
| |
| </td>
| |
| <td>0-4-5-8-13<br />
| |
| </td>
| |
| <td>1-9/8-11/8-14/11-7/4<br />
| |
| </td>
| |
| <td>nofives<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>20<br />
| |
| </td>
| |
| <td>0-1-4-9-13<br />
| |
| </td>
| |
| <td>1-11/9-9/8-14/9-7/4<br />
| |
| </td>
| |
| <td>hemififths<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>21<br />
| |
| </td>
| |
| <td>0-1-5-9-13<br />
| |
| </td>
| |
| <td>1-11/9-11/8-14/9-7/4<br />
| |
| </td>
| |
| <td>pele<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>22<br />
| |
| </td>
| |
| <td>0-4-5-9-13<br />
| |
| </td>
| |
| <td>1-9/8-11/8-14/9-7/4<br />
| |
| </td>
| |
| <td>pentacircle<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>23<br />
| |
| </td>
| |
| <td>0-4-8-9-13<br />
| |
| </td>
| |
| <td>1-9/8-14/11-14/9-7/4<br />
| |
| </td>
| |
| <td>pentacircle<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>24<br />
| |
| </td>
| |
| <td>0-5-8-9-13<br />
| |
| </td>
| |
| <td>1-11/8-14/11-14/9-7/4<br />
| |
| </td>
| |
| <td>nofives<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>25<br />
| |
| </td>
| |
| <td>0-8-9-11-13<br />
| |
| </td>
| |
| <td>1-14/11-14/9-7/6-7/4<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>26<br />
| |
| </td>
| |
| <td>0-1-4-12-13<br />
| |
| </td>
| |
| <td>1-11/9-9/8-10/7-7/4<br />
| |
| </td>
| |
| <td>jove<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>27<br />
| |
| </td>
| |
| <td>0-4-8-12-13<br />
| |
| </td>
| |
| <td>1-9/8-14/11-10/7-7/4<br />
| |
| </td>
| |
| <td>pele<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>28<br />
| |
| </td>
| |
| <td>0-1-9-12-13<br />
| |
| </td>
| |
| <td>1-11/9-14/9-10/7-7/4<br />
| |
| </td>
| |
| <td>jove<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>29<br />
| |
| </td>
| |
| <td>0-4-9-12-13<br />
| |
| </td>
| |
| <td>1-9/8-14/9-10/7-7/4<br />
| |
| </td>
| |
| <td>hemififths<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>30<br />
| |
| </td>
| |
| <td>0-8-9-12-13<br />
| |
| </td>
| |
| <td>1-14/11-14/9-10/7-7/4<br />
| |
| </td>
| |
| <td>jove<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>31<br />
| |
| </td>
| |
| <td>0-8-11-12-13<br />
| |
| </td>
| |
| <td>1-14/11-7/6-10/7-7/4<br />
| |
| </td>
| |
| <td>jove<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>32<br />
| |
| </td>
| |
| <td>0-9-11-12-13<br />
| |
| </td>
| |
| <td>1-14/9-7/6-10/7-7/4<br />
| |
| </td>
| |
| <td>jove<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>33<br />
| |
| </td>
| |
| <td>0-8-9-11-20<br />
| |
| </td>
| |
| <td>1-14/11-14/9-7/6-20/11<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>34<br />
| |
| </td>
| |
| <td>0-8-9-12-20<br />
| |
| </td>
| |
| <td>1-14/11-14/9-10/7-20/11<br />
| |
| </td>
| |
| <td>jove<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>35<br />
| |
| </td>
| |
| <td>0-8-11-12-20<br />
| |
| </td>
| |
| <td>1-14/11-7/6-10/7-20/11<br />
| |
| </td>
| |
| <td>jove<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>36<br />
| |
| </td>
| |
| <td>0-9-11-12-20<br />
| |
| </td>
| |
| <td>1-14/9-7/6-10/7-20/11<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>37<br />
| |
| </td>
| |
| <td>0-1-9-12-21<br />
| |
| </td>
| |
| <td>1-11/9-14/9-10/7-10/9<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>38<br />
| |
| </td>
| |
| <td>0-8-9-12-21<br />
| |
| </td>
| |
| <td>1-14/11-14/9-10/7-10/9<br />
| |
| </td>
| |
| <td>jove<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>39<br />
| |
| </td>
| |
| <td>0-1-9-13-21<br />
| |
| </td>
| |
| <td>1-11/9-14/9-7/4-10/9<br />
| |
| </td>
| |
| <td>werckismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>40<br />
| |
| </td>
| |
| <td>0-8-9-13-21<br />
| |
| </td>
| |
| <td>1-14/11-14/9-7/4-10/9<br />
| |
| </td>
| |
| <td>werckismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>41<br />
| |
| </td>
| |
| <td>0-1-12-13-21<br />
| |
| </td>
| |
| <td>1-11/9-10/7-7/4-10/9<br />
| |
| </td>
| |
| <td>jove<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>42<br />
| |
| </td>
| |
| <td>0-8-12-13-21<br />
| |
| </td>
| |
| <td>1-14/11-10/7-7/4-10/9<br />
| |
| </td>
| |
| <td>werckismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>43<br />
| |
| </td>
| |
| <td>0-9-12-13-21<br />
| |
| </td>
| |
| <td>1-14/9-10/7-7/4-10/9<br />
| |
| </td>
| |
| <td>jove<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>44<br />
| |
| </td>
| |
| <td>0-8-9-20-21<br />
| |
| </td>
| |
| <td>1-14/11-14/9-20/11-10/9<br />
| |
| </td>
| |
| <td>jove<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>45<br />
| |
| </td>
| |
| <td>0-8-12-20-21<br />
| |
| </td>
| |
| <td>1-14/11-10/7-20/11-10/9<br />
| |
| </td>
| |
| <td>werckismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>46<br />
| |
| </td>
| |
| <td>0-9-12-20-21<br />
| |
| </td>
| |
| <td>1-14/9-10/7-20/11-10/9<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>47<br />
| |
| </td>
| |
| <td>0-2-3-11-23<br />
| |
| </td>
| |
| <td>1-3/2-11/6-7/6-5/3<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>48<br />
| |
| </td>
| |
| <td>0-3-11-12-23<br />
| |
| </td>
| |
| <td>1-11/6-7/6-10/7-5/3<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>49<br />
| |
| </td>
| |
| <td>0-11-12-20-23<br />
| |
| </td>
| |
| <td>1-7/6-10/7-20/11-5/3<br />
| |
| </td>
| |
| <td>swetismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>50<br />
| |
| </td>
| |
| <td>0-12-20-21-23<br />
| |
| </td>
| |
| <td>1-10/7-20/11-10/9-5/3<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>51<br />
| |
| </td>
| |
| <td>0-2-4-5-25<br />
| |
| </td>
| |
| <td>1-3/2-9/8-11/8-5/4<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>52<br />
| |
| </td>
| |
| <td>0-2-4-13-25<br />
| |
| </td>
| |
| <td>1-3/2-9/8-7/4-5/4<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>53<br />
| |
| </td>
| |
| <td>0-2-5-13-25<br />
| |
| </td>
| |
| <td>1-3/2-11/8-7/4-5/4<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>54<br />
| |
| </td>
| |
| <td>0-4-5-13-25<br />
| |
| </td>
| |
| <td>1-9/8-11/8-7/4-5/4<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>55<br />
| |
| </td>
| |
| <td>0-4-12-13-25<br />
| |
| </td>
| |
| <td>1-9/8-10/7-7/4-5/4<br />
| |
| </td>
| |
| <td>werckismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>56<br />
| |
| </td>
| |
| <td>0-12-13-21-25<br />
| |
| </td>
| |
| <td>1-10/7-7/4-10/9-5/4<br />
| |
| </td>
| |
| <td>werckismic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>57<br />
| |
| </td>
| |
| <td>0-12-20-21-25<br />
| |
| </td>
| |
| <td>1-10/7-20/11-10/9-5/4<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>58<br />
| |
| </td>
| |
| <td>0-12-20-23-25<br />
| |
| </td>
| |
| <td>1-10/7-20/11-5/3-5/4<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>59<br />
| |
| </td>
| |
| <td>0-12-21-23-25<br />
| |
| </td>
| |
| <td>1-10/7-10/9-5/3-5/4<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>60<br />
| |
| </td>
| |
| <td>0-20-21-23-25<br />
| |
| </td>
| |
| <td>1-20/11-10/9-5/3-5/4<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
| | |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Hexads"></a><!-- ws:end:WikiTextHeadingRule:6 -->Hexads</h1>
| |
| | |
| | |
| <table class="wiki_table">
| |
| <tr>
| |
| <td>Number<br />
| |
| </td>
| |
| <td>Chord<br />
| |
| </td>
| |
| <td>Transversal<br />
| |
| </td>
| |
| <td>Type<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>1<br />
| |
| </td>
| |
| <td>0-1-2-3-4-5<br />
| |
| </td>
| |
| <td>1-11/9-3/2-11/6-9/8-11/8<br />
| |
| </td>
| |
| <td>rastmic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>2<br />
| |
| </td>
| |
| <td>0-1-2-4-5-13<br />
| |
| </td>
| |
| <td>1-11/9-3/2-9/8-11/8-7/4<br />
| |
| </td>
| |
| <td>jove<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>3<br />
| |
| </td>
| |
| <td>0-1-4-5-9-13<br />
| |
| </td>
| |
| <td>1-11/9-9/8-11/8-14/9-7/4<br />
| |
| </td>
| |
| <td>hemififths<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>4<br />
| |
| </td>
| |
| <td>0-4-5-8-9-13<br />
| |
| </td>
| |
| <td>1-9/8-11/8-14/11-14/9-7/4<br />
| |
| </td>
| |
| <td>nofives<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>5<br />
| |
| </td>
| |
| <td>0-1-4-9-12-13<br />
| |
| </td>
| |
| <td>1-11/9-9/8-14/9-10/7-7/4<br />
| |
| </td>
| |
| <td>hemififths<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>6<br />
| |
| </td>
| |
| <td>0-4-8-9-12-13<br />
| |
| </td>
| |
| <td>1-9/8-14/11-14/9-10/7-7/4<br />
| |
| </td>
| |
| <td>hemififths<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>7<br />
| |
| </td>
| |
| <td>0-8-9-11-12-13<br />
| |
| </td>
| |
| <td>1-14/11-14/9-7/6-10/7-7/4<br />
| |
| </td>
| |
| <td>jove<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>8<br />
| |
| </td>
| |
| <td>0-8-9-11-12-20<br />
| |
| </td>
| |
| <td>1-14/11-14/9-7/6-10/7-20/11<br />
| |
| </td>
| |
| <td>jove<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>9<br />
| |
| </td>
| |
| <td>0-1-9-12-13-21<br />
| |
| </td>
| |
| <td>1-11/9-14/9-10/7-7/4-10/9<br />
| |
| </td>
| |
| <td>jove<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>10<br />
| |
| </td>
| |
| <td>0-8-9-12-13-21<br />
| |
| </td>
| |
| <td>1-14/11-14/9-10/7-7/4-10/9<br />
| |
| </td>
| |
| <td>jove<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11<br />
| |
| </td>
| |
| <td>0-8-9-12-20-21<br />
| |
| </td>
| |
| <td>1-14/11-14/9-10/7-20/11-10/9<br />
| |
| </td>
| |
| <td>jove<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>12<br />
| |
| </td>
| |
| <td>0-2-4-5-13-25<br />
| |
| </td>
| |
| <td>1-3/2-9/8-11/8-7/4-5/4<br />
| |
| </td>
| |
| <td>otonal<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13<br />
| |
| </td>
| |
| <td>0-12-20-21-23-25<br />
| |
| </td>
| |
| <td>1-10/7-20/11-10/9-5/3-5/4<br />
| |
| </td>
| |
| <td>utonal<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
| | |
| </body></html></pre></div>
| |
