File:72ed2.svg
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Size of this PNG preview of this SVG file: 80 × 595 pixels. Other resolutions: 32 × 240 pixels | 64 × 480 pixels | 103 × 768 pixels | 137 × 1,024 pixels | 275 × 2,048 pixels | 500 × 3,720 pixels.
Original file (SVG file, nominally 500 × 3,720 pixels, file size: 42 KB)
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Summary
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| Description |
English: A comparison of some just intonation frequency ratios (including 101:100 just for good measure) versus 72-tone equal temperament (72ET). Of particular note is that justly-tuned 5-limit minor and major thirds are much better approximated by 19/72 and 23/72, where 12ET would put these at 18/72 and 24/72.
Additionally, since the 11th harmonic is almost perfectly halfway between the tri-tone and perfect fourth of 12ET, and the 7th harmonic approximately one-third of a semitone flatter than an equally-tempered minor seventh, 72ET simultaneously provides good approximations of the 7th and 11th harmonics. |
| Date | |
| Source | Own work |
| Author | DASL51984 |
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I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 01:58, 21 June 2024 | | 500 × 3,720 (42 KB) | DASL51984 (talk | contribs) | Remove unneeded <defs> |
| 06:38, 10 June 2024 |  | 500 × 3,720 (42 KB) | DASL51984 (talk | contribs) | Broken lines fixed | |
| 02:08, 9 June 2024 |  | 500 × 3,720 (42 KB) | DASL51984 (talk | contribs) | Centre image and increase width to 500px | |
| 04:52, 7 June 2024 |  | 465 × 3,720 (42 KB) | DASL51984 (talk | contribs) | Normalise line lengths to 0 entropy | |
| 12:19, 2 June 2024 |  | 465 × 3,720 (42 KB) | DASL51984 (talk | contribs) | Fix line lengths based on harmonic entropy | |
| 00:58, 20 January 2024 |  | 465 × 3,720 (43 KB) | DASL51984 (talk | contribs) | Fix colours and make coordinates more accurate | |
| 18:36, 2 August 2023 |  | 465 × 3,720 (42 KB) | DASL51984 (talk | contribs) | Remove extraneous tags | |
| 17:01, 29 May 2023 |  | 465 × 3,720 (48 KB) | DASL51984 (talk | contribs) | Re-align | |
| 16:00, 8 May 2023 |  | 480 × 3,720 (47 KB) | DASL51984 (talk | contribs) | Add 7/6 and 12/7 | |
| 03:21, 4 April 2023 |  | 480 × 3,720 (48 KB) | DASL51984 (talk | contribs) | Remove duplicate entry |
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