38ed7/3 - Revision history

FloraC: /* Intervals */ - nonsense

2026-05-14T18:22:20Z

Intervals: - nonsense

FloraC: Re-organize

2026-05-14T18:17:42Z

Re-organize

@@ Line 2: / Line 2: @@
 {{ED intro}}
-While 38ed7/3 fails to accurately represent low primes, it provides great approximations of the 13th, 17th, 19th, and a multitude of higher prime harmonics, and also handles the interval of [[5/3]] well. But 38ed7/3 should, most of all, be noted for the exceptional quality of its approximation to [[11/9]], which is a mere 0.0088 cents off from just. Its natural subgroup in the [[19-limit]] is 7/3.5/3.11/9.13.17.19, but this can extend to include higher primes, especially 29, 31, and 37.
+== Theory ==
 ed7/3 possesses a shimmering octave at 31 steps in, therefore making this a potential octave-compressed version of [[31edo]], one that sacrifices its notable accuracy in the [[7-limit]] (though a number of 7-limit intervals are still portrayed passably due to the common flat tendency of harmonics 2, 3, 5, and 7) in favor of a huge number of high primes.
 == Intervals ==
@@ Line 241: / Line 246: @@
 |1466.8709
 |}

Hotcrystal0: fix wording

2026-05-13T20:58:51Z

fix wording

← Older revision		Revision as of 20:58, 13 May 2026
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	While 38ed7/3 fails to accurately represent low primes, it provides great approximations of the 13th, 17th, 19th, and a multitude of higher prime harmonics, and also handles the interval of [[5/3]] well. But 38ed7/3 should, most of all, be noted for the exceptional quality of its approximation to [[11/9]], which is a mere 0.0088 cents off from just. Its natural subgroup in the [[19-limit]] is 7/3.5/3.11/9.13.17.19, but this can extend to include higher primes, especially 29, 31, and 37.		While 38ed7/3 fails to accurately represent low primes, it provides great approximations of the 13th, 17th, 19th, and a multitude of higher prime harmonics, and also handles the interval of [[5/3]] well. But 38ed7/3 should, most of all, be noted for the exceptional quality of its approximation to [[11/9]], which is a mere 0.0088 cents off from just. Its natural subgroup in the [[19-limit]] is 7/3.5/3.11/9.13.17.19, but this can extend to include higher primes, especially 29, 31, and 37.

	38ed7/3 possesses a shimmering octave at 31 steps in, therefore making this a potential octave ~~stretch~~ of [[31edo]], one that sacrifices its notable accuracy in the [[7-limit]] (though a number of 7-limit intervals are still portrayed passably due to the common flat tendency of harmonics 2, 3, 5, and 7) in favor of a huge number of high primes.		38ed7/3 possesses a shimmering octave at 31 steps in, therefore making this a potential octave-compressed version of [[31edo]], one that sacrifices its notable accuracy in the [[7-limit]] (though a number of 7-limit intervals are still portrayed passably due to the common flat tendency of harmonics 2, 3, 5, and 7) in favor of a huge number of high primes.

	== Intervals ==		== Intervals ==

BudjarnLambeth: Harmonics

2024-10-05T07:54:12Z

Harmonics

@@ Line 5: / Line 5: @@
 ed7/3 possesses a shimmering octave at 31 steps in, therefore making this a potential octave stretch of [[31edo]], one that sacrifices its notable accuracy in the [[7-limit]] (though a number of 7-limit intervals are still portrayed passably due to the common flat tendency of harmonics 2, 3, 5, and 7) in favor of a huge number of high primes.
 == Intervals ==
@@ Line 243: / Line 241: @@
 |1466.8709
 |}

Lériendil at 04:43, 6 August 2024

2024-08-06T04:43:17Z

← Older revision		Revision as of 04:43, 6 August 2024
Line 4:		Line 4:
	While 38ed7/3 fails to accurately represent low primes, it provides great approximations of the 13th, 17th, 19th, and a multitude of higher prime harmonics, and also handles the interval of [[5/3]] well. But 38ed7/3 should, most of all, be noted for the exceptional quality of its approximation to [[11/9]], which is a mere 0.0088 cents off from just. Its natural subgroup in the [[19-limit]] is 7/3.5/3.11/9.13.17.19, but this can extend to include higher primes, especially 29, 31, and 37.		While 38ed7/3 fails to accurately represent low primes, it provides great approximations of the 13th, 17th, 19th, and a multitude of higher prime harmonics, and also handles the interval of [[5/3]] well. But 38ed7/3 should, most of all, be noted for the exceptional quality of its approximation to [[11/9]], which is a mere 0.0088 cents off from just. Its natural subgroup in the [[19-limit]] is 7/3.5/3.11/9.13.17.19, but this can extend to include higher primes, especially 29, 31, and 37.

	38ed7/3 possesses a shimmering octave at 31 steps in, therefore making this a potential octave stretch of [[31edo]], one that sacrifices its notable accuracy in the [[7-limit]] in favor of a huge number of high primes.		38ed7/3 possesses a shimmering octave at 31 steps in, therefore making this a potential octave stretch of [[31edo]], one that sacrifices its notable accuracy in the [[7-limit]] (though a number of 7-limit intervals are still portrayed passably due to the common flat tendency of harmonics 2, 3, 5, and 7) in favor of a huge number of high primes.

	{{Harmonics in equal\|38\|7\|3\|prec=2\|columns=15\|intervals=prime}}		{{Harmonics in equal\|38\|7\|3\|prec=2\|columns=15\|intervals=prime}}

Lériendil at 04:38, 6 August 2024

2024-08-06T04:38:47Z

← Older revision		Revision as of 04:38, 6 August 2024
Line 3:		Line 3:

	While 38ed7/3 fails to accurately represent low primes, it provides great approximations of the 13th, 17th, 19th, and a multitude of higher prime harmonics, and also handles the interval of [[5/3]] well. But 38ed7/3 should, most of all, be noted for the exceptional quality of its approximation to [[11/9]], which is a mere 0.0088 cents off from just. Its natural subgroup in the [[19-limit]] is 7/3.5/3.11/9.13.17.19, but this can extend to include higher primes, especially 29, 31, and 37.		While 38ed7/3 fails to accurately represent low primes, it provides great approximations of the 13th, 17th, 19th, and a multitude of higher prime harmonics, and also handles the interval of [[5/3]] well. But 38ed7/3 should, most of all, be noted for the exceptional quality of its approximation to [[11/9]], which is a mere 0.0088 cents off from just. Its natural subgroup in the [[19-limit]] is 7/3.5/3.11/9.13.17.19, but this can extend to include higher primes, especially 29, 31, and 37.

			38ed7/3 possesses a shimmering octave at 31 steps in, therefore making this a potential octave stretch of [[31edo]], one that sacrifices its notable accuracy in the [[7-limit]] in favor of a huge number of high primes.

	{{Harmonics in equal\|38\|7\|3\|prec=2\|columns=15\|intervals=prime}}		{{Harmonics in equal\|38\|7\|3\|prec=2\|columns=15\|intervals=prime}}

Lériendil at 04:36, 6 August 2024

2024-08-06T04:36:30Z

← Older revision		Revision as of 04:36, 6 August 2024
Line 2:		Line 2:
	{{ED intro}}		{{ED intro}}

	While 38ed7/3 fails to accurately represent low primes, it provides great approximations of the 13th, 17th, 19th, and a multitude of higher prime harmonics, and also handles the interval of [[5/3]] well. But 38ed7/3 should, most of all, be noted for the exceptional quality of its approximation to [[11/9]], which is a mere 0.0088 cents off from just. Its natural subgroup in the [[19-limit]] is 7/3.5/3.11/9.13.17.19, but this can extend to include higher primes, especially 29 and 31.		While 38ed7/3 fails to accurately represent low primes, it provides great approximations of the 13th, 17th, 19th, and a multitude of higher prime harmonics, and also handles the interval of [[5/3]] well. But 38ed7/3 should, most of all, be noted for the exceptional quality of its approximation to [[11/9]], which is a mere 0.0088 cents off from just. Its natural subgroup in the [[19-limit]] is 7/3.5/3.11/9.13.17.19, but this can extend to include higher primes, especially 29, 31, and 37.

	{{Harmonics in equal\|38\|7\|3\|prec=2\|columns=15\|intervals=prime}}		{{Harmonics in equal\|38\|7\|3\|prec=2\|columns=15\|intervals=prime}}
	~~{{Harmonics in equal\|38\|7\|3\|prec=2\|columns=15\|intervals=odd}}~~

	== Intervals ==		== Intervals ==

Lériendil at 04:36, 6 August 2024

2024-08-06T04:36:01Z

← Older revision		Revision as of 04:36, 6 August 2024
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
			{{ED intro}}

			While 38ed7/3 fails to accurately represent low primes, it provides great approximations of the 13th, 17th, 19th, and a multitude of higher prime harmonics, and also handles the interval of [[5/3]] well. But 38ed7/3 should, most of all, be noted for the exceptional quality of its approximation to [[11/9]], which is a mere 0.0088 cents off from just. Its natural subgroup in the [[19-limit]] is 7/3.5/3.11/9.13.17.19, but this can extend to include higher primes, especially 29 and 31.

			{{Harmonics in equal\|38\|7\|3\|prec=2\|columns=15\|intervals=prime}}
			{{Harmonics in equal\|38\|7\|3\|prec=2\|columns=15\|intervals=odd}}

	== Intervals ==		== Intervals ==
	{\| class="wikitable"		{\| class="wikitable"

Moremajorthanmajor at 22:40, 15 May 2023

2023-05-15T22:40:14Z

← Older revision		Revision as of 22:40, 15 May 2023
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			{{Infobox ET}}
	== Intervals ==		== Intervals ==
	{\| class="wikitable"		{\| class="wikitable"

Moremajorthanmajor: Moremajorthanmajor moved page User:Moremajorthanmajor/38ed7/3 to 38ed7/3 over redirect: In order for infobox to work

2023-05-15T22:40:00Z

Moremajorthanmajor moved page User:Moremajorthanmajor/38ed7/3 to 38ed7/3 over redirect: In order for infobox to work

← Older revision	Revision as of 22:40, 15 May 2023
(No difference)