46edo: Difference between revisions
Wikispaces>genewardsmith **Imported revision 311999280 - Original comment: ** |
Wikispaces>phylingual **Imported revision 328526484 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User: | : This revision was by author [[User:phylingual|phylingual]] and made on <tt>2012-05-02 07:34:47 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>328526484</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : The revision comment was: <tt></tt><br> | ||
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | 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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=<span style="color: #300094; font-family: 'Times New Roman',Times,serif; font-size: 113%;">46 tone equal temperament</span>= | =<span style="color: #300094; font-family: 'Times New Roman',Times,serif; font-size: 113%;">46 tone equal temperament</span>= | ||
The 46 equal temperament, often abbreviated 46-tET, 46-EDO, or 46-ET, is the scale derived by dividing the [[octave]] into 46 equally-sized steps. Each step represents a frequency ratio of 26.087 [[cent]]s, an interval close in size to [[66_65|66/65]], the interval from [[13_11|13/11]] to [[6_5|6/5]]. | The 46 equal temperament, often abbreviated 46-tET, 46-EDO, or 46-ET, is the scale derived by dividing the [[xenharmonic/octave|octave]] into 46 equally-sized steps. Each step represents a frequency ratio of 26.087 [[xenharmonic/cent|cent]]s, an interval close in size to [[xenharmonic/66_65|66/65]], the interval from [[xenharmonic/13_11|13/11]] to [[xenharmonic/6_5|6/5]]. | ||
46et tempers out 507/500, 91/90, 686/675, 2048/2025, 121/120, 245/243, 126/125, 169/168, 176/175, 896/891, 196/195, 1029/1024, 5120/5103, 385/384, and 441/440 among other intervals, with varied consequences it would take a very long article to describe. [[Rank two temperaments]] it supports include sensi, valentine, shrutar, rodan, leapday and unidec. The [[11-limit]] [[Target tunings|minimax]] tuning for [[Starling family|valentine temperament]], (11/7)^(1/10), is only 0.01 cents flat of 3/46 octaves. In the opinion of some 46et is the first equal division to deal adequately with the [[13-limit]], though others award that distinction to [[41edo]]. In fact, while 41 is a [[The Riemann Zeta Function and Tuning#Zeta%20EDO%20lists|zeta integral edo]] but not a [[The Riemann Zeta Function and Tuning#Zeta%20EDO%20lists|zeta gap edo]], 46 is zeta gap but not zeta integral. | 46et tempers out 507/500, 91/90, 686/675, 2048/2025, 121/120, 245/243, 126/125, 169/168, 176/175, 896/891, 196/195, 1029/1024, 5120/5103, 385/384, and 441/440 among other intervals, with varied consequences it would take a very long article to describe. [[xenharmonic/Rank two temperaments|Rank two temperaments]] it supports include sensi, valentine, shrutar, rodan, leapday and unidec. The [[xenharmonic/11-limit|11-limit]] [[xenharmonic/Target tunings|minimax]] tuning for [[xenharmonic/Starling family|valentine temperament]], (11/7)^(1/10), is only 0.01 cents flat of 3/46 octaves. In the opinion of some 46et is the first equal division to deal adequately with the [[xenharmonic/13-limit|13-limit]], though others award that distinction to [[xenharmonic/41edo|41edo]]. In fact, while 41 is a [[xenharmonic/The Riemann Zeta Function and Tuning#Zeta%20EDO%20lists|zeta integral edo]] but not a [[xenharmonic/The Riemann Zeta Function and Tuning#Zeta%20EDO%20lists|zeta gap edo]], 46 is zeta gap but not zeta integral. | ||
The fifth of 46 equal is 2.39 cents sharp, which some people (eg, Margo Schulter) prefer, sometimes strongly, over both the [[just fifth]] and fifths of temperaments with flat fifths, such as meantone. It gives a characteristic bright sound to triads, distinct from the mellowness of a meantone triad. | The fifth of 46 equal is 2.39 cents sharp, which some people (eg, Margo Schulter) prefer, sometimes strongly, over both the [[xenharmonic/just fifth|just fifth]] and fifths of temperaments with flat fifths, such as meantone. It gives a characteristic bright sound to triads, distinct from the mellowness of a meantone triad. | ||
46edo can be treated as two [[23edo]]'s separated by an interval of 26.087 cents. | 46edo can be treated as two [[xenharmonic/23edo|23edo]]'s separated by an interval of 26.087 cents. | ||
=46edo srutis= | =46edo srutis= | ||
[[Magic22 as srutis#shrutar22assrutis|Shrutar22 as srutis]] describes a possible use of 46edo for [[Indian]] music. | [[xenharmonic/Magic22 as srutis#shrutar22assrutis|Shrutar22 as srutis]] describes a possible use of 46edo for [[xenharmonic/Indian|Indian]] music. | ||
=Linear temperaments= | =Linear temperaments= | ||
| Line 25: | Line 25: | ||
per octave ||~ Generator ||~ Cents ||~ Temperaments ||~ MOS/DE Scales available ||~ L:s || | per octave ||~ Generator ||~ Cents ||~ Temperaments ||~ MOS/DE Scales available ||~ L:s || | ||
|| 1 || 1\46 || 26.087 || || || || | || 1 || 1\46 || 26.087 || || || || | ||
|| 1 || 3\46 || 78.261 || [[Valentine]] || 1L 14s (15-tone) | || 1 || 3\46 || 78.261 || [[xenharmonic/Valentine|Valentine]] || 1L 14s (15-tone) | ||
15L 1s (16-tone) | 15L 1s (16-tone) | ||
16L 15s (31-tone) || 4:3 ~ [[Maximal evenness|quasi-equal]] | 16L 15s (31-tone) || 4:3 ~ [[xenharmonic/Maximal evenness|quasi-equal]] | ||
3:1 | 3:1 | ||
2:1 ~ QE || | 2:1 ~ QE || | ||
|| 1 || 5\46 || 130.435 || [[Twothirdtonic]] || [[1L 8s]] (9-tone) | || 1 || 5\46 || 130.435 || [[xenharmonic/Twothirdtonic|Twothirdtonic]] || [[xenharmonic/1L 8s|1L 8s]] (9-tone) | ||
[[9L 1s]] (10-tone) | [[xenharmonic/9L 1s|9L 1s]] (10-tone) | ||
9L 10s (19-tone) | 9L 10s (19-tone) | ||
9L 19s (28-tone) | 9L 19s (28-tone) | ||
| Line 39: | Line 39: | ||
3:1 | 3:1 | ||
2:1 ~ QE || | 2:1 ~ QE || | ||
|| 1 || 7\46 || 182.609 || [[Minortone]] || [[1L 5s]] (6-tone) | || 1 || 7\46 || 182.609 || [[xenharmonic/Minortone|Minortone]] || [[xenharmonic/1L 5s|1L 5s]] (6-tone) | ||
[[6L 1s]] (7-tone) | [[xenharmonic/6L 1s|6L 1s]] (7-tone) | ||
7L 6s (13-tone) | 7L 6s (13-tone) | ||
13L 7s (20-tone) | 13L 7s (20-tone) | ||
| Line 48: | Line 48: | ||
3:1 | 3:1 | ||
2:1 ~ QE || | 2:1 ~ QE || | ||
|| 1 || 9\46 || 234.783 || [[Rodan]] || [[1L 4s]] (5-tone) | || 1 || 9\46 || 234.783 || [[xenharmonic/Rodan|Rodan]] || [[xenharmonic/1L 4s|1L 4s]] (5-tone) | ||
[[1L 5s]] (6-tone) | [[xenharmonic/1L 5s|1L 5s]] (6-tone) | ||
[[5L 6s]] (11-tone) | [[xenharmonic/5L 6s|5L 6s]] (11-tone) | ||
5L 11s (16-tone) | 5L 11s (16-tone) | ||
5L 16s (21-tone) | 5L 16s (21-tone) | ||
| Line 65: | Line 65: | ||
3:1 | 3:1 | ||
2:1 ~ QE || | 2:1 ~ QE || | ||
|| 1 || 11\46 || 286.957 || || [[4L 1s]] (5-tone) | || 1 || 11\46 || 286.957 || || [[xenharmonic/4L 1s|4L 1s]] (5-tone) | ||
[[4L 5s]] (9-tone) | [[xenharmonic/4L 5s|4L 5s]] (9-tone) | ||
4L 9s (13-tone) | 4L 9s (13-tone) | ||
4L 13s (17-tone) | 4L 13s (17-tone) | ||
| Line 76: | Line 76: | ||
3:2 ~ QE, Golden | 3:2 ~ QE, Golden | ||
2:1 ~ QE || | 2:1 ~ QE || | ||
|| 1 || 13\46 || 339.13 || [[Amity]]/[[hitchcock]] || [[4L 3s]] (7-tone) | || 1 || 13\46 || 339.13 || [[xenharmonic/Amity|Amity]]/[[xenharmonic/hitchcock|hitchcock]] || [[xenharmonic/4L 3s|4L 3s]] (7-tone) | ||
[[7L 4s]] (11-tone) | [[xenharmonic/7L 4s|7L 4s]] (11-tone) | ||
7L 11s (18-tone) | 7L 11s (18-tone) | ||
7L 18s (25-tone) | 7L 18s (25-tone) | ||
| Line 87: | Line 87: | ||
3:1 | 3:1 | ||
2:1 ~ QE || | 2:1 ~ QE || | ||
|| 1 || 15\46 || 391.304 || || [[1L 2s]] (3-tone) | || 1 || 15\46 || 391.304 || || [[xenharmonic/1L 2s|1L 2s]] (3-tone) | ||
[[3L 1s]] (4-tone) | [[xenharmonic/3L 1s|3L 1s]] (4-tone) | ||
[[3L 4s]] (7-tone) | [[xenharmonic/3L 4s|3L 4s]] (7-tone) | ||
[[3L 7s]] (10-tone) | [[xenharmonic/3L 7s|3L 7s]] (10-tone) | ||
3L 10s (13-tone) | 3L 10s (13-tone) | ||
3L 13s (16-tone) | 3L 13s (16-tone) | ||
| Line 116: | Line 116: | ||
3:1 | 3:1 | ||
2:1 ~ QE || | 2:1 ~ QE || | ||
|| 1 || 17\46 || 443.478 || [[Sensi]] || [[3L 2s]] (5-tone) | || 1 || 17\46 || 443.478 || [[xenharmonic/Sensi|Sensi]] || [[xenharmonic/3L 2s|3L 2s]] (5-tone) | ||
[[3L 5s]] (8-tone) | [[xenharmonic/3L 5s|3L 5s]] (8-tone) | ||
[[8L 3s]] (11-tone) | [[xenharmonic/8L 3s|8L 3s]] (11-tone) | ||
8L 11s (19-tone) | 8L 11s (19-tone) | ||
19L 8s (27-tone) || 12:5 | 19L 8s (27-tone) || 12:5 | ||
| Line 125: | Line 125: | ||
3:2 ~ QE, Golden | 3:2 ~ QE, Golden | ||
2:1 || | 2:1 || | ||
|| 1 || 19\46 || 495.652 || [[Leapday]] || [[2L 3s]] (5-tone) | || 1 || 19\46 || 495.652 || [[xenharmonic/Leapday|Leapday]] || [[xenharmonic/2L 3s|2L 3s]] (5-tone) | ||
[[5L 2s]] (7-tone) | [[xenharmonic/5L 2s|5L 2s]] (7-tone) | ||
[[5L 7s]] (12-tone) | [[xenharmonic/5L 7s|5L 7s]] (12-tone) | ||
12L 5s (17-tone) | 12L 5s (17-tone) | ||
17L 12s (29-tone) || 11:8 | 17L 12s (29-tone) || 11:8 | ||
| Line 134: | Line 134: | ||
3:2 ~ QE, Golden | 3:2 ~ QE, Golden | ||
2:1 ~ QE || | 2:1 ~ QE || | ||
|| 1 || 21\46 || 547.826 || [[Heinz]] || [[2L 3s]] (5-tone) | || 1 || 21\46 || 547.826 || [[xenharmonic/Heinz|Heinz]] || [[xenharmonic/2L 3s|2L 3s]] (5-tone) | ||
[[2L 5s]] (7-tone) | [[xenharmonic/2L 5s|2L 5s]] (7-tone) | ||
[[2L 7s]] (9-tone) | [[xenharmonic/2L 7s|2L 7s]] (9-tone) | ||
[[2L 9s]] (11-tone) | [[xenharmonic/2L 9s|2L 9s]] (11-tone) | ||
11L 2s (13-tone) | 11L 2s (13-tone) | ||
11L 13s (24-tone) | 11L 13s (24-tone) | ||
| Line 148: | Line 148: | ||
2:1 ~ QE || | 2:1 ~ QE || | ||
|| 2 || 1\46 || 26.087 || || || || | || 2 || 1\46 || 26.087 || || || || | ||
|| 2 || 2\46 || 52.174 || [[Shrutar]] || 2L 2s (4-tone) | || 2 || 2\46 || 52.174 || [[xenharmonic/Shrutar|Shrutar]] || 2L 2s (4-tone) | ||
[[2L 4s]] (6-tone) | [[xenharmonic/2L 4s|2L 4s]] (6-tone) | ||
[[2L 6s]] (8-tone) | [[xenharmonic/2L 6s|2L 6s]] (8-tone) | ||
[[2L 8s]] (10-tone) | [[xenharmonic/2L 8s|2L 8s]] (10-tone) | ||
[[2L 10s]] (12-tone) | [[xenharmonic/2L 10s|2L 10s]] (12-tone) | ||
2L 12s (14-tone) | 2L 12s (14-tone) | ||
2L 14s (16-tone) | 2L 14s (16-tone) | ||
| Line 170: | Line 170: | ||
2:1 ~ QE || | 2:1 ~ QE || | ||
|| 2 || 3\46 || 78.261 || || 2L 2s (4-tone) | || 2 || 3\46 || 78.261 || || 2L 2s (4-tone) | ||
[[2L 4s]] (6-tone) | [[xenharmonic/2L 4s|2L 4s]] (6-tone) | ||
[[2L 6s]] (8-tone) | [[xenharmonic/2L 6s|2L 6s]] (8-tone) | ||
[[2L 8s]] (10-tone) | [[xenharmonic/2L 8s|2L 8s]] (10-tone) | ||
[[2L 10s]] (12-tone) | [[xenharmonic/2L 10s|2L 10s]] (12-tone) | ||
2L 12s (14-tone) | 2L 12s (14-tone) | ||
14L 2s (16-tone) | 14L 2s (16-tone) | ||
| Line 184: | Line 184: | ||
3:2 ~ QE, Golden | 3:2 ~ QE, Golden | ||
2:1 ~ QE || | 2:1 ~ QE || | ||
|| 2 || 4\46 || 104.348 || [[Srutal]]/[[diaschismic]] || 2L 2s (4-tone) | || 2 || 4\46 || 104.348 || [[xenharmonic/Srutal|Srutal]]/[[xenharmonic/diaschismic|diaschismic]] || 2L 2s (4-tone) | ||
[[2L 4s]] (6-tone) | [[xenharmonic/2L 4s|2L 4s]] (6-tone) | ||
[[2L 6s]] (8-tone) | [[xenharmonic/2L 6s|2L 6s]] (8-tone) | ||
[[2L 8s]] (10-tone) | [[xenharmonic/2L 8s|2L 8s]] (10-tone) | ||
[[10L 2s]] (12-tone) | [[xenharmonic/10L 2s|10L 2s]] (12-tone) | ||
12L 10s (22-tone) | 12L 10s (22-tone) | ||
12L 22s (34-tone) || 19:4 | 12L 22s (34-tone) || 19:4 | ||
| Line 198: | Line 198: | ||
2:1 ~ QE || | 2:1 ~ QE || | ||
|| 2 || 5\46 || 130.435 || || 2L 2s (4-tone) | || 2 || 5\46 || 130.435 || || 2L 2s (4-tone) | ||
[[2L 4s]] (6-tone) | [[xenharmonic/2L 4s|2L 4s]] (6-tone) | ||
[[2L 6s]] (8-tone) | [[xenharmonic/2L 6s|2L 6s]] (8-tone) | ||
[[8L 2s]] (10-tone) | [[xenharmonic/8L 2s|8L 2s]] (10-tone) | ||
8L 10s (18-tone) | 8L 10s (18-tone) | ||
18L 10s (28-tone) || 18:5 | 18L 10s (28-tone) || 18:5 | ||
| Line 209: | Line 209: | ||
2:1 ~ QE || | 2:1 ~ QE || | ||
|| 2 || 6\46 || 156.522 || || 2L 2s (4-tone) | || 2 || 6\46 || 156.522 || || 2L 2s (4-tone) | ||
[[2L 4s]] (6-tone) | [[xenharmonic/2L 4s|2L 4s]] (6-tone) | ||
[[6L 2s]] (8-tone) | [[xenharmonic/6L 2s|6L 2s]] (8-tone) | ||
8L 6s (14-tone) | 8L 6s (14-tone) | ||
8L 14s (22-tone) | 8L 14s (22-tone) | ||
| Line 221: | Line 221: | ||
3:1 | 3:1 | ||
2:1 ~ QE || | 2:1 ~ QE || | ||
|| 2 || 7\46 || 182.609 || [[Unidec]]/[[hendec]] || 2L 2s (4-tone) | || 2 || 7\46 || 182.609 || [[xenharmonic/Unidec|Unidec]]/[[xenharmonic/hendec|hendec]] || 2L 2s (4-tone) | ||
[[2L 4s]] (6-tone) | [[xenharmonic/2L 4s|2L 4s]] (6-tone) | ||
[[6L 2s]] (8-tone) | [[xenharmonic/6L 2s|6L 2s]] (8-tone) | ||
6L 8s (14-tone) | 6L 8s (14-tone) | ||
6L 14s (20-tone) | 6L 14s (20-tone) | ||
| Line 232: | Line 232: | ||
3:2 ~ QE, Golden | 3:2 ~ QE, Golden | ||
2:1 ~ QE || | 2:1 ~ QE || | ||
|| 2 || 8\46 || 208.696 || [[Abigail]] || 2L 2s (4-tone) | || 2 || 8\46 || 208.696 || [[xenharmonic/Abigail|Abigail]] || 2L 2s (4-tone) | ||
[[4L 2s]] (6-tone) | [[xenharmonic/4L 2s|4L 2s]] (6-tone) | ||
[[6L 2s]] (8-tone) | [[xenharmonic/6L 2s|6L 2s]] (8-tone) | ||
6L 8s (14-tone) | 6L 8s (14-tone) | ||
6L 14s (20-tone) | 6L 14s (20-tone) | ||
| Line 249: | Line 249: | ||
3:1 | 3:1 | ||
2:1 ~ QE || | 2:1 ~ QE || | ||
|| 2 || 9\46 || 234.783 || [[Echidnic]] || 2L 2s (4-tone) | || 2 || 9\46 || 234.783 || [[xenharmonic/Echidnic|Echidnic]] || 2L 2s (4-tone) | ||
[[4L 2s]] (6-tone) | [[xenharmonic/4L 2s|4L 2s]] (6-tone) | ||
[[6L 4s]] (10-tone) | [[xenharmonic/6L 4s|6L 4s]] (10-tone) | ||
10L 6s (16-tone) | 10L 6s (16-tone) | ||
10L 16s (26-tone) | 10L 16s (26-tone) | ||
| Line 261: | Line 261: | ||
2:1 ~ QE || | 2:1 ~ QE || | ||
|| 2 || 10\46 || 260.87 || || 2L 2s (4-tone) | || 2 || 10\46 || 260.87 || || 2L 2s (4-tone) | ||
[[4L 2s]] (6-tone) | [[xenharmonic/4L 2s|4L 2s]] (6-tone) | ||
[[4L 6s]] (10-tone) | [[xenharmonic/4L 6s|4L 6s]] (10-tone) | ||
4L 10s (14-tone) | 4L 10s (14-tone) | ||
14L 4s (18-tone) | 14L 4s (18-tone) | ||
| Line 272: | Line 272: | ||
2:1 ~ QE || | 2:1 ~ QE || | ||
|| 2 || 11\46 || 286.957 || || 2L 2s (4-tone) | || 2 || 11\46 || 286.957 || || 2L 2s (4-tone) | ||
[[4L 2s]] (6-tone) | [[xenharmonic/4L 2s|4L 2s]] (6-tone) | ||
[[4L 6s]] (10-tone) | [[xenharmonic/4L 6s|4L 6s]] (10-tone) | ||
4L 10s (14-tone) | 4L 10s (14-tone) | ||
4L 14s (18-tone) | 4L 14s (18-tone) | ||
| Line 294: | Line 294: | ||
|| 23 || 1\46 || 26.087 || || || || | || 23 || 1\46 || 26.087 || || || || | ||
=Intervals= | =Intervals= | ||
|| degrees of 46edo || cents value || approximate ratios in the [[17-limit]] || | || degrees of 46edo || cents value || approximate ratios in the [[xenharmonic/17-limit|17-limit]] || | ||
|| 0 || 0.00 || 1/1 || | || 0 || 0.00 || 1/1 || | ||
|| 1 || 26.087 || || | || 1 || 26.087 || || | ||
| Line 321: | Line 321: | ||
|| 24 || 626.087 || 10/7, 13/9 || | || 24 || 626.087 || 10/7, 13/9 || | ||
|| 25 || 652.174 || 16/11, 22/15 || | || 25 || 652.174 || 16/11, 22/15 || | ||
|| 26 || | || 26 || 678.261 || || | ||
|| 27 || 704.348 || 3/2 || | || 27 || 704.348 || 3/2 || | ||
|| 28 || 730.435 || 26/17 || | || 28 || 730.435 || 26/17 || | ||
| Line 341: | Line 341: | ||
|| 44 || 1147.826 || || | || 44 || 1147.826 || || | ||
|| 45 || 1173.913 || || | || 45 || 1173.913 || || | ||
*15/13 (and its inversion 26/15) appears twice on the list. 9\46edo is closest to 15/13 by a hair; 10\46edo represents the difference between, for instance, 46edo's 15/8 and 13/8, and is more likely to appear in chords actually functioning as 15/13. This discrepancy occurs because 46edo is not [[consistent]] in the [[15-limit]]. | *15/13 (and its inversion 26/15) appears twice on the list. 9\46edo is closest to 15/13 by a hair; 10\46edo represents the difference between, for instance, 46edo's 15/8 and 13/8, and is more likely to appear in chords actually functioning as 15/13. This discrepancy occurs because 46edo is not [[xenharmonic/consistent|consistent]] in the [[xenharmonic/15-limit|15-limit]]. | ||
=Approximation to Mode 8 of the Harmonic Series= | =Approximation to Mode 8 of the Harmonic Series= | ||
46edo represents [[overtone]]s 8 through 16 (written as [[JI]] ratios 8:9:10:11:12:13:14:15:16) with degrees 0, 8, 15, 21, 27, 32, 37, 42, 46. In steps-in-between, that's 8, 7, 6, 6, 5, 5, 5, 4. | 46edo represents [[xenharmonic/overtone|overtone]]s 8 through 16 (written as [[xenharmonic/JI|JI]] ratios 8:9:10:11:12:13:14:15:16) with degrees 0, 8, 15, 21, 27, 32, 37, 42, 46. In steps-in-between, that's 8, 7, 6, 6, 5, 5, 5, 4. | ||
8\46edo (208.70¢) stands in for frequency ratio [[9_8|9:8]] (203.91¢). | 8\46edo (208.70¢) stands in for frequency ratio [[xenharmonic/9_8|9:8]] (203.91¢). | ||
7\46edo (182.61¢) stands in for [[10_9|10:9]] (182.40¢). | 7\46edo (182.61¢) stands in for [[xenharmonic/10_9|10:9]] (182.40¢). | ||
6\46edo (156.52¢) stands in for [[11_10|11:10]] (165.00¢) and [[12_11|12:11]] (150.64¢). | 6\46edo (156.52¢) stands in for [[xenharmonic/11_10|11:10]] (165.00¢) and [[xenharmonic/12_11|12:11]] (150.64¢). | ||
5\46edo (130.43¢) stands in for [[13_12|13:12]] (138.57¢), [[14_13|14:13]] (128.30¢) and [[15_14|15:14]] (119.44¢). | 5\46edo (130.43¢) stands in for [[xenharmonic/13_12|13:12]] (138.57¢), [[xenharmonic/14_13|14:13]] (128.30¢) and [[xenharmonic/15_14|15:14]] (119.44¢). | ||
4\46edo (104.35¢) stands in for [[16_15|16:15]] (111.73¢). | 4\46edo (104.35¢) stands in for [[xenharmonic/16_15|16:15]] (111.73¢). | ||
=Scales= | =Scales= | ||
* [[plum]] | * [[xenharmonic/plum|plum]] | ||
* [[sensi5]] | * [[xenharmonic/sensi5|sensi5]] | ||
* [[sensi8]] | * [[xenharmonic/sensi8|sensi8]] | ||
* [[sensi11]] | * [[xenharmonic/sensi11|sensi11]] | ||
* [[sensi19]] | * [[xenharmonic/sensi19|sensi19]] | ||
=Music= | =Music= | ||
by [[Gene Ward Smith|Gene Ward Smith:]] | by [[xenharmonic/Gene Ward Smith|Gene Ward Smith:]] | ||
[[http://www.archive.org/details/Chromosounds|Chromosounds]] [[http://clones.soonlabel.com/public/micro/gene_ward_smith/chromosounds/GWS-GPO-Jazz-chromosounds.mp3|play]] | [[http://www.archive.org/details/Chromosounds|Chromosounds]] [[http://clones.soonlabel.com/public/micro/gene_ward_smith/chromosounds/GWS-GPO-Jazz-chromosounds.mp3|play]] | ||
[[http://www.archive.org/details/MusicForYourEars|Music For Your Ears]] [[http://www.archive.org/download/MusicForYourEars/musicfor.mp3|play]] The central portion is in [[27edo]], the rest in 46edo. | [[http://www.archive.org/details/MusicForYourEars|Music For Your Ears]] [[http://www.archive.org/download/MusicForYourEars/musicfor.mp3|play]] The central portion is in [[xenharmonic/27edo|27edo]], the rest in 46edo. | ||
by [[Andrew Heathwaite]]: [[@http://andrewheathwaite.bandcamp.com/track/rats|Rats]], [[http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2001%20Rats.mp3|play]] [[@http://andrewheathwaite.bandcamp.com/track/tumbledown-stew|Tumbledown Stew]] [[http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2012%20Tumbledown%20Stew.mp3|play]], [[@http://andrewheathwaite.bandcamp.com/track/hypnocloudsmack-1|Hypnocloudsmack 1]] [[http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2004%20Hypnocloudsmack%201.mp3|play]], [[@http://andrewheathwaite.bandcamp.com/track/hypnocloudsmack-2|Hypnocloudsmack 2]] [[http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2009%20Hypnocloudsmack%202.mp3|play]], [[@http://andrewheathwaite.bandcamp.com/track/hypnocloudsmack-3|Hypnocloudsmack 3]] [[http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2013%20Hypnocloudsmack%203.mp3|play]]</pre></div> | by [[xenharmonic/Andrew Heathwaite|Andrew Heathwaite]]: [[@http://andrewheathwaite.bandcamp.com/track/rats|Rats]], [[http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2001%20Rats.mp3|play]] [[@http://andrewheathwaite.bandcamp.com/track/tumbledown-stew|Tumbledown Stew]] [[http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2012%20Tumbledown%20Stew.mp3|play]], [[@http://andrewheathwaite.bandcamp.com/track/hypnocloudsmack-1|Hypnocloudsmack 1]] [[http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2004%20Hypnocloudsmack%201.mp3|play]], [[@http://andrewheathwaite.bandcamp.com/track/hypnocloudsmack-2|Hypnocloudsmack 2]] [[http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2009%20Hypnocloudsmack%202.mp3|play]], [[@http://andrewheathwaite.bandcamp.com/track/hypnocloudsmack-3|Hypnocloudsmack 3]] [[http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2013%20Hypnocloudsmack%203.mp3|play]]</pre></div> | ||
<h4>Original HTML content:</h4> | <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>46edo</title></head><body><!-- ws:start:WikiTextTocRule:14:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:14 --><!-- ws:start:WikiTextTocRule:15: --><a href="#x46 tone equal temperament">46 tone equal temperament</a><!-- ws:end:WikiTextTocRule:15 --><!-- ws:start:WikiTextTocRule:16: --> | <a href="#x46edo srutis">46edo srutis</a><!-- ws:end:WikiTextTocRule:16 --><!-- ws:start:WikiTextTocRule:17: --> | <a href="#Linear temperaments">Linear temperaments</a><!-- ws:end:WikiTextTocRule:17 --><!-- ws:start:WikiTextTocRule:18: --> | <a href="#Intervals">Intervals</a><!-- ws:end:WikiTextTocRule:18 --><!-- ws:start:WikiTextTocRule:19: --> | <a href="#Approximation to Mode 8 of the Harmonic Series">Approximation to Mode 8 of the Harmonic Series</a><!-- ws:end:WikiTextTocRule:19 --><!-- ws:start:WikiTextTocRule:20: --> | <a href="#Scales">Scales</a><!-- ws:end:WikiTextTocRule:20 --><!-- ws:start:WikiTextTocRule:21: --> | <a href="#Music">Music</a><!-- ws:end:WikiTextTocRule:21 --><!-- ws:start:WikiTextTocRule:22: --> | <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>46edo</title></head><body><!-- ws:start:WikiTextTocRule:14:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:14 --><!-- ws:start:WikiTextTocRule:15: --><a href="#x46 tone equal temperament">46 tone equal temperament</a><!-- ws:end:WikiTextTocRule:15 --><!-- ws:start:WikiTextTocRule:16: --> | <a href="#x46edo srutis">46edo srutis</a><!-- ws:end:WikiTextTocRule:16 --><!-- ws:start:WikiTextTocRule:17: --> | <a href="#Linear temperaments">Linear temperaments</a><!-- ws:end:WikiTextTocRule:17 --><!-- ws:start:WikiTextTocRule:18: --> | <a href="#Intervals">Intervals</a><!-- ws:end:WikiTextTocRule:18 --><!-- ws:start:WikiTextTocRule:19: --> | <a href="#Approximation to Mode 8 of the Harmonic Series">Approximation to Mode 8 of the Harmonic Series</a><!-- ws:end:WikiTextTocRule:19 --><!-- ws:start:WikiTextTocRule:20: --> | <a href="#Scales">Scales</a><!-- ws:end:WikiTextTocRule:20 --><!-- ws:start:WikiTextTocRule:21: --> | <a href="#Music">Music</a><!-- ws:end:WikiTextTocRule:21 --><!-- ws:start:WikiTextTocRule:22: --> | ||
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<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x46 tone equal temperament"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="color: #300094; font-family: 'Times New Roman',Times,serif; font-size: 113%;">46 tone equal temperament</span></h1> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x46 tone equal temperament"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="color: #300094; font-family: 'Times New Roman',Times,serif; font-size: 113%;">46 tone equal temperament</span></h1> | ||
The 46 equal temperament, often abbreviated 46-tET, 46-EDO, or 46-ET, is the scale derived by dividing the <a class="wiki_link" href="/octave">octave</a> into 46 equally-sized steps. Each step represents a frequency ratio of 26.087 <a class="wiki_link" href="/cent">cent</a>s, an interval close in size to <a class="wiki_link" href="/66_65">66/65</a>, the interval from <a class="wiki_link" href="/13_11">13/11</a> to <a class="wiki_link" href="/6_5">6/5</a>.<br /> | The 46 equal temperament, often abbreviated 46-tET, 46-EDO, or 46-ET, is the scale derived by dividing the <a class="wiki_link" href="http://xenharmonic.wikispaces.com/octave">octave</a> into 46 equally-sized steps. Each step represents a frequency ratio of 26.087 <a class="wiki_link" href="http://xenharmonic.wikispaces.com/cent">cent</a>s, an interval close in size to <a class="wiki_link" href="http://xenharmonic.wikispaces.com/66_65">66/65</a>, the interval from <a class="wiki_link" href="http://xenharmonic.wikispaces.com/13_11">13/11</a> to <a class="wiki_link" href="http://xenharmonic.wikispaces.com/6_5">6/5</a>.<br /> | ||
<br /> | <br /> | ||
46et tempers out 507/500, 91/90, 686/675, 2048/2025, 121/120, 245/243, 126/125, 169/168, 176/175, 896/891, 196/195, 1029/1024, 5120/5103, 385/384, and 441/440 among other intervals, with varied consequences it would take a very long article to describe. <a class="wiki_link" href="/Rank%20two%20temperaments">Rank two temperaments</a> it supports include sensi, valentine, shrutar, rodan, leapday and unidec. The <a class="wiki_link" href="/11-limit">11-limit</a> <a class="wiki_link" href="/Target%20tunings">minimax</a> tuning for <a class="wiki_link" href="/Starling%20family">valentine temperament</a>, (11/7)^(1/10), is only 0.01 cents flat of 3/46 octaves. In the opinion of some 46et is the first equal division to deal adequately with the <a class="wiki_link" href="/13-limit">13-limit</a>, though others award that distinction to <a class="wiki_link" href="/41edo">41edo</a>. In fact, while 41 is a <a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta%20EDO%20lists">zeta integral edo</a> but not a <a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta%20EDO%20lists">zeta gap edo</a>, 46 is zeta gap but not zeta integral.<br /> | 46et tempers out 507/500, 91/90, 686/675, 2048/2025, 121/120, 245/243, 126/125, 169/168, 176/175, 896/891, 196/195, 1029/1024, 5120/5103, 385/384, and 441/440 among other intervals, with varied consequences it would take a very long article to describe. <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Rank%20two%20temperaments">Rank two temperaments</a> it supports include sensi, valentine, shrutar, rodan, leapday and unidec. The <a class="wiki_link" href="http://xenharmonic.wikispaces.com/11-limit">11-limit</a> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Target%20tunings">minimax</a> tuning for <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Starling%20family">valentine temperament</a>, (11/7)^(1/10), is only 0.01 cents flat of 3/46 octaves. In the opinion of some 46et is the first equal division to deal adequately with the <a class="wiki_link" href="http://xenharmonic.wikispaces.com/13-limit">13-limit</a>, though others award that distinction to <a class="wiki_link" href="http://xenharmonic.wikispaces.com/41edo">41edo</a>. In fact, while 41 is a <a class="wiki_link" href="http://xenharmonic.wikispaces.com/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta%20EDO%20lists">zeta integral edo</a> but not a <a class="wiki_link" href="http://xenharmonic.wikispaces.com/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta%20EDO%20lists">zeta gap edo</a>, 46 is zeta gap but not zeta integral.<br /> | ||
<br /> | <br /> | ||
The fifth of 46 equal is 2.39 cents sharp, which some people (eg, Margo Schulter) prefer, sometimes strongly, over both the <a class="wiki_link" href="/just%20fifth">just fifth</a> and fifths of temperaments with flat fifths, such as meantone. It gives a characteristic bright sound to triads, distinct from the mellowness of a meantone triad.<br /> | The fifth of 46 equal is 2.39 cents sharp, which some people (eg, Margo Schulter) prefer, sometimes strongly, over both the <a class="wiki_link" href="http://xenharmonic.wikispaces.com/just%20fifth">just fifth</a> and fifths of temperaments with flat fifths, such as meantone. It gives a characteristic bright sound to triads, distinct from the mellowness of a meantone triad.<br /> | ||
<br /> | <br /> | ||
46edo can be treated as two <a class="wiki_link" href="/23edo">23edo</a>'s separated by an interval of 26.087 cents.<br /> | 46edo can be treated as two <a class="wiki_link" href="http://xenharmonic.wikispaces.com/23edo">23edo</a>'s separated by an interval of 26.087 cents.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="x46edo srutis"></a><!-- ws:end:WikiTextHeadingRule:2 -->46edo srutis</h1> | <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="x46edo srutis"></a><!-- ws:end:WikiTextHeadingRule:2 -->46edo srutis</h1> | ||
<a class="wiki_link" href="/Magic22%20as%20srutis#shrutar22assrutis">Shrutar22 as srutis</a> describes a possible use of 46edo for <a class="wiki_link" href="/Indian">Indian</a> music.<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Magic22%20as%20srutis#shrutar22assrutis">Shrutar22 as srutis</a> describes a possible use of 46edo for <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Indian">Indian</a> music.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Linear temperaments"></a><!-- ws:end:WikiTextHeadingRule:4 -->Linear temperaments</h1> | <!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Linear temperaments"></a><!-- ws:end:WikiTextHeadingRule:4 -->Linear temperaments</h1> | ||
| Line 422: | Line 422: | ||
<td>78.261<br /> | <td>78.261<br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Valentine">Valentine</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Valentine">Valentine</a><br /> | ||
</td> | </td> | ||
<td>1L 14s (15-tone)<br /> | <td>1L 14s (15-tone)<br /> | ||
| Line 428: | Line 428: | ||
16L 15s (31-tone)<br /> | 16L 15s (31-tone)<br /> | ||
</td> | </td> | ||
<td>4:3 ~ <a class="wiki_link" href="/Maximal%20evenness">quasi-equal</a><br /> | <td>4:3 ~ <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Maximal%20evenness">quasi-equal</a><br /> | ||
3:1<br /> | 3:1<br /> | ||
2:1 ~ QE<br /> | 2:1 ~ QE<br /> | ||
| Line 440: | Line 440: | ||
<td>130.435<br /> | <td>130.435<br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Twothirdtonic">Twothirdtonic</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Twothirdtonic">Twothirdtonic</a><br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/1L%208s">1L 8s</a> (9-tone)<br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/1L%208s">1L 8s</a> (9-tone)<br /> | ||
<a class="wiki_link" href="/9L%201s">9L 1s</a> (10-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/9L%201s">9L 1s</a> (10-tone)<br /> | ||
9L 10s (19-tone)<br /> | 9L 10s (19-tone)<br /> | ||
9L 19s (28-tone)<br /> | 9L 19s (28-tone)<br /> | ||
| Line 462: | Line 462: | ||
<td>182.609<br /> | <td>182.609<br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Minortone">Minortone</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Minortone">Minortone</a><br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/1L%205s">1L 5s</a> (6-tone)<br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/1L%205s">1L 5s</a> (6-tone)<br /> | ||
<a class="wiki_link" href="/6L%201s">6L 1s</a> (7-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/6L%201s">6L 1s</a> (7-tone)<br /> | ||
7L 6s (13-tone)<br /> | 7L 6s (13-tone)<br /> | ||
13L 7s (20-tone)<br /> | 13L 7s (20-tone)<br /> | ||
| Line 484: | Line 484: | ||
<td>234.783<br /> | <td>234.783<br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Rodan">Rodan</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Rodan">Rodan</a><br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/1L%204s">1L 4s</a> (5-tone)<br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/1L%204s">1L 4s</a> (5-tone)<br /> | ||
<a class="wiki_link" href="/1L%205s">1L 5s</a> (6-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/1L%205s">1L 5s</a> (6-tone)<br /> | ||
<a class="wiki_link" href="/5L%206s">5L 6s</a> (11-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/5L%206s">5L 6s</a> (11-tone)<br /> | ||
5L 11s (16-tone)<br /> | 5L 11s (16-tone)<br /> | ||
5L 16s (21-tone)<br /> | 5L 16s (21-tone)<br /> | ||
| Line 516: | Line 516: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/4L%201s">4L 1s</a> (5-tone)<br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/4L%201s">4L 1s</a> (5-tone)<br /> | ||
<a class="wiki_link" href="/4L%205s">4L 5s</a> (9-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/4L%205s">4L 5s</a> (9-tone)<br /> | ||
4L 9s (13-tone)<br /> | 4L 9s (13-tone)<br /> | ||
4L 13s (17-tone)<br /> | 4L 13s (17-tone)<br /> | ||
| Line 538: | Line 538: | ||
<td>339.13<br /> | <td>339.13<br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Amity">Amity</a>/<a class="wiki_link" href="/hitchcock">hitchcock</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Amity">Amity</a>/<a class="wiki_link" href="http://xenharmonic.wikispaces.com/hitchcock">hitchcock</a><br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/4L%203s">4L 3s</a> (7-tone)<br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/4L%203s">4L 3s</a> (7-tone)<br /> | ||
<a class="wiki_link" href="/7L%204s">7L 4s</a> (11-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/7L%204s">7L 4s</a> (11-tone)<br /> | ||
7L 11s (18-tone)<br /> | 7L 11s (18-tone)<br /> | ||
7L 18s (25-tone)<br /> | 7L 18s (25-tone)<br /> | ||
| Line 564: | Line 564: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/1L%202s">1L 2s</a> (3-tone)<br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/1L%202s">1L 2s</a> (3-tone)<br /> | ||
<a class="wiki_link" href="/3L%201s">3L 1s</a> (4-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/3L%201s">3L 1s</a> (4-tone)<br /> | ||
<a class="wiki_link" href="/3L%204s">3L 4s</a> (7-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/3L%204s">3L 4s</a> (7-tone)<br /> | ||
<a class="wiki_link" href="/3L%207s">3L 7s</a> (10-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/3L%207s">3L 7s</a> (10-tone)<br /> | ||
3L 10s (13-tone)<br /> | 3L 10s (13-tone)<br /> | ||
3L 13s (16-tone)<br /> | 3L 13s (16-tone)<br /> | ||
| Line 604: | Line 604: | ||
<td>443.478<br /> | <td>443.478<br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Sensi">Sensi</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Sensi">Sensi</a><br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/3L%202s">3L 2s</a> (5-tone)<br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/3L%202s">3L 2s</a> (5-tone)<br /> | ||
<a class="wiki_link" href="/3L%205s">3L 5s</a> (8-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/3L%205s">3L 5s</a> (8-tone)<br /> | ||
<a class="wiki_link" href="/8L%203s">8L 3s</a> (11-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/8L%203s">8L 3s</a> (11-tone)<br /> | ||
8L 11s (19-tone)<br /> | 8L 11s (19-tone)<br /> | ||
19L 8s (27-tone)<br /> | 19L 8s (27-tone)<br /> | ||
| Line 626: | Line 626: | ||
<td>495.652<br /> | <td>495.652<br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Leapday">Leapday</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Leapday">Leapday</a><br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/2L%203s">2L 3s</a> (5-tone)<br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/2L%203s">2L 3s</a> (5-tone)<br /> | ||
<a class="wiki_link" href="/5L%202s">5L 2s</a> (7-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/5L%202s">5L 2s</a> (7-tone)<br /> | ||
<a class="wiki_link" href="/5L%207s">5L 7s</a> (12-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/5L%207s">5L 7s</a> (12-tone)<br /> | ||
12L 5s (17-tone)<br /> | 12L 5s (17-tone)<br /> | ||
17L 12s (29-tone)<br /> | 17L 12s (29-tone)<br /> | ||
| Line 648: | Line 648: | ||
<td>547.826<br /> | <td>547.826<br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Heinz">Heinz</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Heinz">Heinz</a><br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/2L%203s">2L 3s</a> (5-tone)<br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/2L%203s">2L 3s</a> (5-tone)<br /> | ||
<a class="wiki_link" href="/2L%205s">2L 5s</a> (7-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/2L%205s">2L 5s</a> (7-tone)<br /> | ||
<a class="wiki_link" href="/2L%207s">2L 7s</a> (9-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/2L%207s">2L 7s</a> (9-tone)<br /> | ||
<a class="wiki_link" href="/2L%209s">2L 9s</a> (11-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/2L%209s">2L 9s</a> (11-tone)<br /> | ||
11L 2s (13-tone)<br /> | 11L 2s (13-tone)<br /> | ||
11L 13s (24-tone)<br /> | 11L 13s (24-tone)<br /> | ||
| Line 688: | Line 688: | ||
<td>52.174<br /> | <td>52.174<br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Shrutar">Shrutar</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Shrutar">Shrutar</a><br /> | ||
</td> | </td> | ||
<td>2L 2s (4-tone)<br /> | <td>2L 2s (4-tone)<br /> | ||
<a class="wiki_link" href="/2L%204s">2L 4s</a> (6-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/2L%204s">2L 4s</a> (6-tone)<br /> | ||
<a class="wiki_link" href="/2L%206s">2L 6s</a> (8-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/2L%206s">2L 6s</a> (8-tone)<br /> | ||
<a class="wiki_link" href="/2L%208s">2L 8s</a> (10-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/2L%208s">2L 8s</a> (10-tone)<br /> | ||
<a class="wiki_link" href="/2L%2010s">2L 10s</a> (12-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/2L%2010s">2L 10s</a> (12-tone)<br /> | ||
2L 12s (14-tone)<br /> | 2L 12s (14-tone)<br /> | ||
2L 14s (16-tone)<br /> | 2L 14s (16-tone)<br /> | ||
| Line 725: | Line 725: | ||
</td> | </td> | ||
<td>2L 2s (4-tone)<br /> | <td>2L 2s (4-tone)<br /> | ||
<a class="wiki_link" href="/2L%204s">2L 4s</a> (6-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/2L%204s">2L 4s</a> (6-tone)<br /> | ||
<a class="wiki_link" href="/2L%206s">2L 6s</a> (8-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/2L%206s">2L 6s</a> (8-tone)<br /> | ||
<a class="wiki_link" href="/2L%208s">2L 8s</a> (10-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/2L%208s">2L 8s</a> (10-tone)<br /> | ||
<a class="wiki_link" href="/2L%2010s">2L 10s</a> (12-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/2L%2010s">2L 10s</a> (12-tone)<br /> | ||
2L 12s (14-tone)<br /> | 2L 12s (14-tone)<br /> | ||
14L 2s (16-tone)<br /> | 14L 2s (16-tone)<br /> | ||
| Line 750: | Line 750: | ||
<td>104.348<br /> | <td>104.348<br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Srutal">Srutal</a>/<a class="wiki_link" href="/diaschismic">diaschismic</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Srutal">Srutal</a>/<a class="wiki_link" href="http://xenharmonic.wikispaces.com/diaschismic">diaschismic</a><br /> | ||
</td> | </td> | ||
<td>2L 2s (4-tone)<br /> | <td>2L 2s (4-tone)<br /> | ||
<a class="wiki_link" href="/2L%204s">2L 4s</a> (6-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/2L%204s">2L 4s</a> (6-tone)<br /> | ||
<a class="wiki_link" href="/2L%206s">2L 6s</a> (8-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/2L%206s">2L 6s</a> (8-tone)<br /> | ||
<a class="wiki_link" href="/2L%208s">2L 8s</a> (10-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/2L%208s">2L 8s</a> (10-tone)<br /> | ||
<a class="wiki_link" href="/10L%202s">10L 2s</a> (12-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/10L%202s">10L 2s</a> (12-tone)<br /> | ||
12L 10s (22-tone)<br /> | 12L 10s (22-tone)<br /> | ||
12L 22s (34-tone)<br /> | 12L 22s (34-tone)<br /> | ||
| Line 779: | Line 779: | ||
</td> | </td> | ||
<td>2L 2s (4-tone)<br /> | <td>2L 2s (4-tone)<br /> | ||
<a class="wiki_link" href="/2L%204s">2L 4s</a> (6-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/2L%204s">2L 4s</a> (6-tone)<br /> | ||
<a class="wiki_link" href="/2L%206s">2L 6s</a> (8-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/2L%206s">2L 6s</a> (8-tone)<br /> | ||
<a class="wiki_link" href="/8L%202s">8L 2s</a> (10-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/8L%202s">8L 2s</a> (10-tone)<br /> | ||
8L 10s (18-tone)<br /> | 8L 10s (18-tone)<br /> | ||
18L 10s (28-tone)<br /> | 18L 10s (28-tone)<br /> | ||
| Line 803: | Line 803: | ||
</td> | </td> | ||
<td>2L 2s (4-tone)<br /> | <td>2L 2s (4-tone)<br /> | ||
<a class="wiki_link" href="/2L%204s">2L 4s</a> (6-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/2L%204s">2L 4s</a> (6-tone)<br /> | ||
<a class="wiki_link" href="/6L%202s">6L 2s</a> (8-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/6L%202s">6L 2s</a> (8-tone)<br /> | ||
8L 6s (14-tone)<br /> | 8L 6s (14-tone)<br /> | ||
8L 14s (22-tone)<br /> | 8L 14s (22-tone)<br /> | ||
| Line 826: | Line 826: | ||
<td>182.609<br /> | <td>182.609<br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Unidec">Unidec</a>/<a class="wiki_link" href="/hendec">hendec</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Unidec">Unidec</a>/<a class="wiki_link" href="http://xenharmonic.wikispaces.com/hendec">hendec</a><br /> | ||
</td> | </td> | ||
<td>2L 2s (4-tone)<br /> | <td>2L 2s (4-tone)<br /> | ||
<a class="wiki_link" href="/2L%204s">2L 4s</a> (6-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/2L%204s">2L 4s</a> (6-tone)<br /> | ||
<a class="wiki_link" href="/6L%202s">6L 2s</a> (8-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/6L%202s">6L 2s</a> (8-tone)<br /> | ||
6L 8s (14-tone)<br /> | 6L 8s (14-tone)<br /> | ||
6L 14s (20-tone)<br /> | 6L 14s (20-tone)<br /> | ||
| Line 850: | Line 850: | ||
<td>208.696<br /> | <td>208.696<br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Abigail">Abigail</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Abigail">Abigail</a><br /> | ||
</td> | </td> | ||
<td>2L 2s (4-tone)<br /> | <td>2L 2s (4-tone)<br /> | ||
<a class="wiki_link" href="/4L%202s">4L 2s</a> (6-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/4L%202s">4L 2s</a> (6-tone)<br /> | ||
<a class="wiki_link" href="/6L%202s">6L 2s</a> (8-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/6L%202s">6L 2s</a> (8-tone)<br /> | ||
6L 8s (14-tone)<br /> | 6L 8s (14-tone)<br /> | ||
6L 14s (20-tone)<br /> | 6L 14s (20-tone)<br /> | ||
| Line 880: | Line 880: | ||
<td>234.783<br /> | <td>234.783<br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Echidnic">Echidnic</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Echidnic">Echidnic</a><br /> | ||
</td> | </td> | ||
<td>2L 2s (4-tone)<br /> | <td>2L 2s (4-tone)<br /> | ||
<a class="wiki_link" href="/4L%202s">4L 2s</a> (6-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/4L%202s">4L 2s</a> (6-tone)<br /> | ||
<a class="wiki_link" href="/6L%204s">6L 4s</a> (10-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/6L%204s">6L 4s</a> (10-tone)<br /> | ||
10L 6s (16-tone)<br /> | 10L 6s (16-tone)<br /> | ||
10L 16s (26-tone)<br /> | 10L 16s (26-tone)<br /> | ||
| Line 907: | Line 907: | ||
</td> | </td> | ||
<td>2L 2s (4-tone)<br /> | <td>2L 2s (4-tone)<br /> | ||
<a class="wiki_link" href="/4L%202s">4L 2s</a> (6-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/4L%202s">4L 2s</a> (6-tone)<br /> | ||
<a class="wiki_link" href="/4L%206s">4L 6s</a> (10-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/4L%206s">4L 6s</a> (10-tone)<br /> | ||
4L 10s (14-tone)<br /> | 4L 10s (14-tone)<br /> | ||
14L 4s (18-tone)<br /> | 14L 4s (18-tone)<br /> | ||
| Line 931: | Line 931: | ||
</td> | </td> | ||
<td>2L 2s (4-tone)<br /> | <td>2L 2s (4-tone)<br /> | ||
<a class="wiki_link" href="/4L%202s">4L 2s</a> (6-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/4L%202s">4L 2s</a> (6-tone)<br /> | ||
<a class="wiki_link" href="/4L%206s">4L 6s</a> (10-tone)<br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/4L%206s">4L 6s</a> (10-tone)<br /> | ||
4L 10s (14-tone)<br /> | 4L 10s (14-tone)<br /> | ||
4L 14s (18-tone)<br /> | 4L 14s (18-tone)<br /> | ||
| Line 980: | Line 980: | ||
<td>cents value<br /> | <td>cents value<br /> | ||
</td> | </td> | ||
<td>approximate ratios in the <a class="wiki_link" href="/17-limit">17-limit</a><br /> | <td>approximate ratios in the <a class="wiki_link" href="http://xenharmonic.wikispaces.com/17-limit">17-limit</a><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,194: | Line 1,194: | ||
<td>26<br /> | <td>26<br /> | ||
</td> | </td> | ||
<td> | <td>678.261<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,353: | Line 1,353: | ||
</table> | </table> | ||
*15/13 (and its inversion 26/15) appears twice on the list. 9\46edo is closest to 15/13 by a hair; 10\46edo represents the difference between, for instance, 46edo's 15/8 and 13/8, and is more likely to appear in chords actually functioning as 15/13. This discrepancy occurs because 46edo is not <a class="wiki_link" href="/consistent">consistent</a> in the <a class="wiki_link" href="/15-limit">15-limit</a>.<br /> | *15/13 (and its inversion 26/15) appears twice on the list. 9\46edo is closest to 15/13 by a hair; 10\46edo represents the difference between, for instance, 46edo's 15/8 and 13/8, and is more likely to appear in chords actually functioning as 15/13. This discrepancy occurs because 46edo is not <a class="wiki_link" href="http://xenharmonic.wikispaces.com/consistent">consistent</a> in the <a class="wiki_link" href="http://xenharmonic.wikispaces.com/15-limit">15-limit</a>.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Approximation to Mode 8 of the Harmonic Series"></a><!-- ws:end:WikiTextHeadingRule:8 -->Approximation to Mode 8 of the Harmonic Series</h1> | <!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Approximation to Mode 8 of the Harmonic Series"></a><!-- ws:end:WikiTextHeadingRule:8 -->Approximation to Mode 8 of the Harmonic Series</h1> | ||
<br /> | <br /> | ||
46edo represents <a class="wiki_link" href="/overtone">overtone</a>s 8 through 16 (written as <a class="wiki_link" href="/JI">JI</a> ratios 8:9:10:11:12:13:14:15:16) with degrees 0, 8, 15, 21, 27, 32, 37, 42, 46. In steps-in-between, that's 8, 7, 6, 6, 5, 5, 5, 4.<br /> | 46edo represents <a class="wiki_link" href="http://xenharmonic.wikispaces.com/overtone">overtone</a>s 8 through 16 (written as <a class="wiki_link" href="http://xenharmonic.wikispaces.com/JI">JI</a> ratios 8:9:10:11:12:13:14:15:16) with degrees 0, 8, 15, 21, 27, 32, 37, 42, 46. In steps-in-between, that's 8, 7, 6, 6, 5, 5, 5, 4.<br /> | ||
<br /> | <br /> | ||
8\46edo (208.70¢) stands in for frequency ratio <a class="wiki_link" href="/9_8">9:8</a> (203.91¢).<br /> | 8\46edo (208.70¢) stands in for frequency ratio <a class="wiki_link" href="http://xenharmonic.wikispaces.com/9_8">9:8</a> (203.91¢).<br /> | ||
7\46edo (182.61¢) stands in for <a class="wiki_link" href="/10_9">10:9</a> (182.40¢).<br /> | 7\46edo (182.61¢) stands in for <a class="wiki_link" href="http://xenharmonic.wikispaces.com/10_9">10:9</a> (182.40¢).<br /> | ||
6\46edo (156.52¢) stands in for <a class="wiki_link" href="/11_10">11:10</a> (165.00¢) and <a class="wiki_link" href="/12_11">12:11</a> (150.64¢).<br /> | 6\46edo (156.52¢) stands in for <a class="wiki_link" href="http://xenharmonic.wikispaces.com/11_10">11:10</a> (165.00¢) and <a class="wiki_link" href="http://xenharmonic.wikispaces.com/12_11">12:11</a> (150.64¢).<br /> | ||
5\46edo (130.43¢) stands in for <a class="wiki_link" href="/13_12">13:12</a> (138.57¢), <a class="wiki_link" href="/14_13">14:13</a> (128.30¢) and <a class="wiki_link" href="/15_14">15:14</a> (119.44¢).<br /> | 5\46edo (130.43¢) stands in for <a class="wiki_link" href="http://xenharmonic.wikispaces.com/13_12">13:12</a> (138.57¢), <a class="wiki_link" href="http://xenharmonic.wikispaces.com/14_13">14:13</a> (128.30¢) and <a class="wiki_link" href="http://xenharmonic.wikispaces.com/15_14">15:14</a> (119.44¢).<br /> | ||
4\46edo (104.35¢) stands in for <a class="wiki_link" href="/16_15">16:15</a> (111.73¢).<br /> | 4\46edo (104.35¢) stands in for <a class="wiki_link" href="http://xenharmonic.wikispaces.com/16_15">16:15</a> (111.73¢).<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Scales"></a><!-- ws:end:WikiTextHeadingRule:10 -->Scales</h1> | <!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Scales"></a><!-- ws:end:WikiTextHeadingRule:10 -->Scales</h1> | ||
<ul><li><a class="wiki_link" href="/plum">plum</a></li><li><a class="wiki_link" href="/sensi5">sensi5</a></li><li><a class="wiki_link" href="/sensi8">sensi8</a></li><li><a class="wiki_link" href="/sensi11">sensi11</a></li><li><a class="wiki_link" href="/sensi19">sensi19</a></li></ul><br /> | <ul><li><a class="wiki_link" href="http://xenharmonic.wikispaces.com/plum">plum</a></li><li><a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi5">sensi5</a></li><li><a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi8">sensi8</a></li><li><a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi11">sensi11</a></li><li><a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi19">sensi19</a></li></ul><br /> | ||
<!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:12 -->Music</h1> | <!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:12 -->Music</h1> | ||
by <a class="wiki_link" href="/Gene%20Ward%20Smith">Gene Ward Smith:</a><br /> | by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Gene%20Ward%20Smith">Gene Ward Smith:</a><br /> | ||
<a class="wiki_link_ext" href="http://www.archive.org/details/Chromosounds" rel="nofollow">Chromosounds</a> <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/chromosounds/GWS-GPO-Jazz-chromosounds.mp3" rel="nofollow">play</a><br /> | <a class="wiki_link_ext" href="http://www.archive.org/details/Chromosounds" rel="nofollow">Chromosounds</a> <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/chromosounds/GWS-GPO-Jazz-chromosounds.mp3" rel="nofollow">play</a><br /> | ||
<a class="wiki_link_ext" href="http://www.archive.org/details/MusicForYourEars" rel="nofollow">Music For Your Ears</a> <a class="wiki_link_ext" href="http://www.archive.org/download/MusicForYourEars/musicfor.mp3" rel="nofollow">play</a> The central portion is in <a class="wiki_link" href="/27edo">27edo</a>, the rest in 46edo.<br /> | <a class="wiki_link_ext" href="http://www.archive.org/details/MusicForYourEars" rel="nofollow">Music For Your Ears</a> <a class="wiki_link_ext" href="http://www.archive.org/download/MusicForYourEars/musicfor.mp3" rel="nofollow">play</a> The central portion is in <a class="wiki_link" href="http://xenharmonic.wikispaces.com/27edo">27edo</a>, the rest in 46edo.<br /> | ||
<br /> | <br /> | ||
by <a class="wiki_link" href="/Andrew%20Heathwaite">Andrew Heathwaite</a>: <a class="wiki_link_ext" href="http://andrewheathwaite.bandcamp.com/track/rats" rel="nofollow" target="_blank">Rats</a>, <a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2001%20Rats.mp3" rel="nofollow">play</a> <a class="wiki_link_ext" href="http://andrewheathwaite.bandcamp.com/track/tumbledown-stew" rel="nofollow" target="_blank">Tumbledown Stew</a> <a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2012%20Tumbledown%20Stew.mp3" rel="nofollow">play</a>, <a class="wiki_link_ext" href="http://andrewheathwaite.bandcamp.com/track/hypnocloudsmack-1" rel="nofollow" target="_blank">Hypnocloudsmack 1</a> <a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2004%20Hypnocloudsmack%201.mp3" rel="nofollow">play</a>, <a class="wiki_link_ext" href="http://andrewheathwaite.bandcamp.com/track/hypnocloudsmack-2" rel="nofollow" target="_blank">Hypnocloudsmack 2</a> <a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2009%20Hypnocloudsmack%202.mp3" rel="nofollow">play</a>, <a class="wiki_link_ext" href="http://andrewheathwaite.bandcamp.com/track/hypnocloudsmack-3" rel="nofollow" target="_blank">Hypnocloudsmack 3</a> <a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2013%20Hypnocloudsmack%203.mp3" rel="nofollow">play</a></body></html></pre></div> | by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Andrew%20Heathwaite">Andrew Heathwaite</a>: <a class="wiki_link_ext" href="http://andrewheathwaite.bandcamp.com/track/rats" rel="nofollow" target="_blank">Rats</a>, <a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2001%20Rats.mp3" rel="nofollow">play</a> <a class="wiki_link_ext" href="http://andrewheathwaite.bandcamp.com/track/tumbledown-stew" rel="nofollow" target="_blank">Tumbledown Stew</a> <a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2012%20Tumbledown%20Stew.mp3" rel="nofollow">play</a>, <a class="wiki_link_ext" href="http://andrewheathwaite.bandcamp.com/track/hypnocloudsmack-1" rel="nofollow" target="_blank">Hypnocloudsmack 1</a> <a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2004%20Hypnocloudsmack%201.mp3" rel="nofollow">play</a>, <a class="wiki_link_ext" href="http://andrewheathwaite.bandcamp.com/track/hypnocloudsmack-2" rel="nofollow" target="_blank">Hypnocloudsmack 2</a> <a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2009%20Hypnocloudsmack%202.mp3" rel="nofollow">play</a>, <a class="wiki_link_ext" href="http://andrewheathwaite.bandcamp.com/track/hypnocloudsmack-3" rel="nofollow" target="_blank">Hypnocloudsmack 3</a> <a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2013%20Hypnocloudsmack%203.mp3" rel="nofollow">play</a></body></html></pre></div> | ||