183edo: Difference between revisions

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== Theory ==

183edo is notable as a higher-limit system, [[consistency|distinctly consistent]] in the [[17-odd-limit]], or the no-19 no-31 [[33-odd-limit]]. ~~The equal temperament~~ [[~~tempering out|~~tempers out]] the [[schisma]] in the [[5-limit]]. In the [[7-limit]], it tempers out porwell, [[6144/6125]], cataharry, [[19683/19600]] and mirkwai, [[16875/16807]]. In the [[11-limit]], it tempers out [[540/539]], 1375/1372, [[3025/3024]], [[5632/5625]], and [[8019/8000]]; in the [[13-limit]], [[351/350]], [[676/675]], [[729/728]], [[1001/1000]], [[1573/1568]], [[2080/2079]], [[4096/4095]], [[4225/4224]], and [[6656/6655]]; in the [[17-limit]] [[442/441]], [[561/560]], [[715/714]], [[936/935]], [[1089/1088]], and [[1156/1155]]; and in the [[19-limit]] [[456/455]]. It is the [[optimal patent val]] for 13- and 17-limit [[mirkat]], the 72 & 111 temperament, and an excellent tuning for the [[rank-3 temperament]]s [[madagascar]] and [[borneo]]. It allows [[essentially tempered chord]] including [[ratwolfsmic chords]], [[swetismic chords]], [[squbemic chords]], [[sinbadmic chords]], and [[lambeth chords]] in the 13-odd-limit, in addition to [[island chords]] in the 15-odd-limit.

183edo is notable as a higher-limit system, [[consistency|distinctly consistent]] in the [[17-odd-limit]], or the no-19 no-31 [[33-odd-limit]]. It [[tempers out]] the [[schisma]] in the [[5-limit]]. In the [[7-limit]], it tempers out porwell, [[6144/6125]], cataharry, [[19683/19600]] and mirkwai, [[16875/16807]]. In the [[11-limit]], it tempers out [[540/539]], 1375/1372, [[3025/3024]], [[5632/5625]], and [[8019/8000]]; in the [[13-limit]], [[351/350]], [[676/675]], [[729/728]], [[1001/1000]], [[1573/1568]], [[2080/2079]], [[4096/4095]], [[4225/4224]], and [[6656/6655]]; in the [[17-limit]] [[442/441]], [[561/560]], [[715/714]], [[936/935]], [[1089/1088]], and [[1156/1155]]; and in the [[19-limit]] [[456/455]]. It is the [[optimal patent val]] for 13- and 17-limit [[mirkat]], the {{nowrap|72 & 111}} temperament, and an excellent tuning for the [[rank-3 temperament]]s [[madagascar]] and [[borneo]]. It allows [[essentially tempered chord]] including [[ratwolfsmic chords]], [[swetismic chords]], [[squbemic chords]], [[sinbadmic chords]], and [[lambeth chords]] in the 13-odd-limit, in addition to [[island chords]] in the 15-odd-limit.

It is even stronger if 7 is left out of the picture. As a no-7 temperament, it tempers out 5632/5625, 8019/8000, 676/675, 4225/4224, 6656/6655, 936/935, 1089/1088, and 1377/1375.

Line 37:

| 32805/32768, {{val| 10 23 -20 }}

| {{mapping| 183 290 425 }}

| ~~−0~~.0157

| −0.0157

| 0.182

| 2.78

Line 44:

| 6144/6125, 16875/16807, 19683/19600

| {{mapping| 183 290 425 514 }}

| ~~−0~~.1601

| −0.1601

| 0.296

| 4.51

Line 51:

| 540/539, 1375/1372, 5632/5625, 8019/8000

| {{mapping| 183 290 425 514 633 }}

| ~~−0~~.0993

| −0.0993

| 0.291

| 4.44

Line 58:

| 351/350, 540/539, 676/675, 1375/1372, 4096/4095

| {{mapping| 183 290 425 514 633 677 }}

| ~~−0~~.0295

| −0.0295

| 0.308

| 4.70

Line 65:

| 351/350, 442/441, 540/539, 561/560, 1375/1372, 4096/4095

| {{mapping| 183 290 425 514 633 677 748 }}

| ~~−0~~.0240

| −0.0240

| 0.286

| 4.36

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; [[birdshite stalactite]]

* from ''meticulous clutter'' (2022)

** "cursed owl windchimes" ~~–~~ [https://open.spotify.com/track/0A9z6gw5HuNWS7eYjvtCa1 Spotify] | [https://birdshitestalactite.bandcamp.com/track/cursed-owl-windchimes Bandcamp] | [https://www.youtube.com/watch?v=vyTbwHhdoXE YouTube] ~~–~~ madagascar[19] in 183edo tuning

** "cursed owl windchimes" – [https://open.spotify.com/track/0A9z6gw5HuNWS7eYjvtCa1 Spotify] | [https://birdshitestalactite.bandcamp.com/track/cursed-owl-windchimes Bandcamp] | [https://www.youtube.com/watch?v=vyTbwHhdoXE YouTube] – madagascar[19] in 183edo tuning

** "octopus bones" ~~–~~ [https://open.spotify.com/track/6TUm7uXjVaO6MGACWswoL7 Spotify] | [https://birdshitestalactite.bandcamp.com/track/octopus-bones Bandcamp] | [https://www.youtube.com/watch?v=ej80dEpC-DQ YouTube] ~~–~~ madagascar[19] in 183edo tuning and parakleismic[19] in 61edo tuning

** "octopus bones" – [https://open.spotify.com/track/6TUm7uXjVaO6MGACWswoL7 Spotify] | [https://birdshitestalactite.bandcamp.com/track/octopus-bones Bandcamp] | [https://www.youtube.com/watch?v=ej80dEpC-DQ YouTube] – madagascar[19] in 183edo tuning and parakleismic[19] in 61edo tuning

* "lemon drizzle" from ''tropical nosebleed'' (2023) ~~–~~ [https://open.spotify.com/track/3dBXs1KjzTjSWJ7KF4BjlK Spotify] | [https://birdshitestalactite.bandcamp.com/track/lemon-drizzle Bandcamp] | [https://www.youtube.com/watch?v=VJ_bAvWB8W0 YouTube]

* "lemon drizzle" from ''tropical nosebleed'' (2023) – [https://open.spotify.com/track/3dBXs1KjzTjSWJ7KF4BjlK Spotify] | [https://birdshitestalactite.bandcamp.com/track/lemon-drizzle Bandcamp] | [https://www.youtube.com/watch?v=VJ_bAvWB8W0 YouTube]

[[Category:Borneo]]

@@ Line 3: / Line 3: @@
 == Theory ==
-edo is notable as a higher-limit system, [[consistency|distinctly consistent]] in the [[17-odd-limit]], or the no-19 no-31 [[33-odd-limit]]. The equal temperament [[tempering out|tempers out]] the [[schisma]] in the [[5-limit]]. In the [[7-limit]], it tempers out porwell, [[6144/6125]], cataharry, [[19683/19600]] and mirkwai, [[16875/16807]]. In the [[11-limit]], it tempers out [[540/539]], 1375/1372, [[3025/3024]], [[5632/5625]], and [[8019/8000]]; in the [[13-limit]], [[351/350]], [[676/675]], [[729/728]], [[1001/1000]], [[1573/1568]], [[2080/2079]], [[4096/4095]], [[4225/4224]], and [[6656/6655]]; in the [[17-limit]] [[442/441]], [[561/560]], [[715/714]], [[936/935]], [[1089/1088]], and [[1156/1155]]; and in the [[19-limit]] [[456/455]]. It is the [[optimal patent val]] for 13- and 17-limit [[mirkat]], the 72 &amp; 111 temperament, and an excellent tuning for the [[rank-3 temperament]]s [[madagascar]] and [[borneo]]. It allows [[essentially tempered chord]] including [[ratwolfsmic chords]], [[swetismic chords]], [[squbemic chords]], [[sinbadmic chords]], and [[lambeth chords]] in the 13-odd-limit, in addition to [[island chords]] in the 15-odd-limit.
+edo is notable as a higher-limit system, [[consistency|distinctly consistent]] in the [[17-odd-limit]], or the no-19 no-31 [[33-odd-limit]]. It [[tempers out]] the [[schisma]] in the [[5-limit]]. In the [[7-limit]], it tempers out porwell, [[6144/6125]], cataharry, [[19683/19600]] and mirkwai, [[16875/16807]]. In the [[11-limit]], it tempers out [[540/539]], 1375/1372, [[3025/3024]], [[5632/5625]], and [[8019/8000]]; in the [[13-limit]], [[351/350]], [[676/675]], [[729/728]], [[1001/1000]], [[1573/1568]], [[2080/2079]], [[4096/4095]], [[4225/4224]], and [[6656/6655]]; in the [[17-limit]] [[442/441]], [[561/560]], [[715/714]], [[936/935]], [[1089/1088]], and [[1156/1155]]; and in the [[19-limit]] [[456/455]]. It is the [[optimal patent val]] for 13- and 17-limit [[mirkat]], the {{nowrap|72 &amp; 111}} temperament, and an excellent tuning for the [[rank-3 temperament]]s [[madagascar]] and [[borneo]]. It allows [[essentially tempered chord]] including [[ratwolfsmic chords]], [[swetismic chords]], [[squbemic chords]], [[sinbadmic chords]], and [[lambeth chords]] in the 13-odd-limit, in addition to [[island chords]] in the 15-odd-limit.
 It is even stronger if 7 is left out of the picture. As a no-7 temperament, it tempers out 5632/5625, 8019/8000, 676/675, 4225/4224, 6656/6655, 936/935, 1089/1088, and 1377/1375.
@@ Line 37: / Line 37: @@
 | 32805/32768, {{val| 10 23 -20 }}
 | {{mapping| 183 290 425 }}
-| &minus;0.0157
+| −0.0157
 | 0.182
 | 2.78
@@ Line 44: / Line 44: @@
 | 6144/6125, 16875/16807, 19683/19600
 | {{mapping| 183 290 425 514 }}
-| &minus;0.1601
+| −0.1601
 | 0.296
 | 4.51
@@ Line 51: / Line 51: @@
 | 540/539, 1375/1372, 5632/5625, 8019/8000
 | {{mapping| 183 290 425 514 633 }}
-| &minus;0.0993
+| −0.0993
 | 0.291
 | 4.44
@@ Line 58: / Line 58: @@
 | 351/350, 540/539, 676/675, 1375/1372, 4096/4095
 | {{mapping| 183 290 425 514 633 677 }}
-| &minus;0.0295
+| −0.0295
 | 0.308
 | 4.70
@@ Line 65: / Line 65: @@
 | 351/350, 442/441, 540/539, 561/560, 1375/1372, 4096/4095
 | {{mapping| 183 290 425 514 633 677 748 }}
-| &minus;0.0240
+| −0.0240
 | 0.286
 | 4.36
@@ Line 164: / Line 164: @@
 ; [[birdshite stalactite]]
 * from ''meticulous clutter'' (2022)
-** "cursed owl windchimes" &ndash; [https://open.spotify.com/track/0A9z6gw5HuNWS7eYjvtCa1 Spotify] | [https://birdshitestalactite.bandcamp.com/track/cursed-owl-windchimes Bandcamp] | [https://www.youtube.com/watch?v=vyTbwHhdoXE YouTube] &ndash; madagascar[19] in 183edo tuning
+** "cursed owl windchimes" – [https://open.spotify.com/track/0A9z6gw5HuNWS7eYjvtCa1 Spotify] | [https://birdshitestalactite.bandcamp.com/track/cursed-owl-windchimes Bandcamp] | [https://www.youtube.com/watch?v=vyTbwHhdoXE YouTube] – madagascar[19] in 183edo tuning
-** "octopus bones" &ndash; [https://open.spotify.com/track/6TUm7uXjVaO6MGACWswoL7 Spotify] | [https://birdshitestalactite.bandcamp.com/track/octopus-bones Bandcamp] | [https://www.youtube.com/watch?v=ej80dEpC-DQ YouTube] &ndash; madagascar[19] in 183edo tuning and parakleismic[19] in 61edo tuning
+** "octopus bones" – [https://open.spotify.com/track/6TUm7uXjVaO6MGACWswoL7 Spotify] | [https://birdshitestalactite.bandcamp.com/track/octopus-bones Bandcamp] | [https://www.youtube.com/watch?v=ej80dEpC-DQ YouTube] – madagascar[19] in 183edo tuning and parakleismic[19] in 61edo tuning
-* "lemon drizzle" from ''tropical nosebleed'' (2023) &ndash; [https://open.spotify.com/track/3dBXs1KjzTjSWJ7KF4BjlK Spotify] | [https://birdshitestalactite.bandcamp.com/track/lemon-drizzle Bandcamp] | [https://www.youtube.com/watch?v=VJ_bAvWB8W0 YouTube]
+* "lemon drizzle" from ''tropical nosebleed'' (2023) – [https://open.spotify.com/track/3dBXs1KjzTjSWJ7KF4BjlK Spotify] | [https://birdshitestalactite.bandcamp.com/track/lemon-drizzle Bandcamp] | [https://www.youtube.com/watch?v=VJ_bAvWB8W0 YouTube]
 [[Category:Borneo]]