76ed7/3 - Revision history

BudjarnLambeth: Interval table

2024-10-05T08:10:39Z

Interval table

← Older revision		Revision as of 08:10, 5 October 2024
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	{{Harmonics in equal\|76\|7\|3\|prec=2\|columns=15\|intervals=prime}}		{{Harmonics in equal\|76\|7\|3\|prec=2\|columns=15\|intervals=prime}}
	{{Harmonics in equal\|76\|7\|3\|prec=2\|columns=15\|intervals=odd}}		{{Harmonics in equal\|76\|7\|3\|prec=2\|columns=15\|intervals=odd}}

			==Intervals==
			{{Interval table}}

Lériendil at 06:18, 10 August 2024

2024-08-10T06:18:04Z

← Older revision		Revision as of 06:18, 10 August 2024
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	{{ED intro}}		{{ED intro}}

	While it fails to accurately represent the 3rd, 5th, or 7th harmonics, it inherits great approximations of the 11th, 13th, 17th, and 19th harmonics from its cousin [[197edt]], notable for its strong representation of the no-twos, no-fives JI subgroup. 76ed7/3 additionally provides an equave stretch appropriate for producing, at the cost of a flat tendency for most well-represented prime harmonics as well as the 9th harmonic, a passable approximation to [[5/3]] and interesting approximations to many higher primes; however, 76ed7/3 should also be noted for the exceptional quality of its approximation to [[11/9]], inherited from 38ed7/3, which is a mere 0.0088 cents off from just. Its natural subgroup in the [[19-limit]] is 7/3.9.11.13.15.17.19, but this can extend to include higher primes, especially 29 and 31.		While it fails to accurately represent the 3rd, 5th, or 7th harmonics, it inherits great approximations of the 11th, 13th, 17th, and 19th harmonics from its cousin [[197edt]], notable for its strong representation of the no-twos, no-fives JI subgroup. 76ed7/3 additionally provides an equave stretch appropriate for producing, at the cost of a flat tendency for most well-represented prime harmonics as well as the 9th harmonic, a passable approximation to [[5/3]] and interesting approximations to many higher primes; however, 76ed7/3 should also be noted for the exceptional quality of its approximation to [[11/9]], inherited from [[38ed7/3]], which is a mere 0.0088 cents off from just. Its natural subgroup in the [[19-limit]] is 7/3.9.11.13.15.17.19, but this can extend to include higher primes, especially 29 and 31.

	{{Harmonics in equal\|76\|7\|3\|prec=2\|columns=15\|intervals=prime}}		{{Harmonics in equal\|76\|7\|3\|prec=2\|columns=15\|intervals=prime}}
	{{Harmonics in equal\|76\|7\|3\|prec=2\|columns=15\|intervals=odd}}		{{Harmonics in equal\|76\|7\|3\|prec=2\|columns=15\|intervals=odd}}

Lériendil at 04:32, 6 August 2024

2024-08-06T04:32:02Z

← Older revision		Revision as of 04:32, 6 August 2024
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	{{Infobox ET}}		{{Infobox ET}}
			{{ED intro}}

	~~76ed7/3 is a tuning system dividing the subminor tenth, [[7/3]], into 76 equal parts.~~ While it fails to accurately represent the 3rd, 5th, or 7th harmonics, it inherits great approximations of the 11th, 13th, 17th, and 19th harmonics from its cousin [[197edt]], notable for its strong representation of the no-twos, no-fives JI subgroup. 76ed7/3 additionally provides an equave stretch appropriate for producing, at the cost of a flat tendency for most well-represented prime harmonics as well as the 9th harmonic, a passable approximation to [[5/3]] and interesting approximations to many higher primes; however, 76ed7/3 should also be noted for the exceptional quality of its approximation to [[11/9]], inherited from 38ed7/3, which is a mere 0.0088 cents off from just. Its natural subgroup in the [[19-limit]] is 7/3.9.11.13.15.17.19, but this can extend to include higher primes, especially 29 and 31.		While it fails to accurately represent the 3rd, 5th, or 7th harmonics, it inherits great approximations of the 11th, 13th, 17th, and 19th harmonics from its cousin [[197edt]], notable for its strong representation of the no-twos, no-fives JI subgroup. 76ed7/3 additionally provides an equave stretch appropriate for producing, at the cost of a flat tendency for most well-represented prime harmonics as well as the 9th harmonic, a passable approximation to [[5/3]] and interesting approximations to many higher primes; however, 76ed7/3 should also be noted for the exceptional quality of its approximation to [[11/9]], inherited from 38ed7/3, which is a mere 0.0088 cents off from just. Its natural subgroup in the [[19-limit]] is 7/3.9.11.13.15.17.19, but this can extend to include higher primes, especially 29 and 31.

	{{Harmonics in equal\|76\|7\|3\|prec=2\|columns=15\|intervals=prime}}		{{Harmonics in equal\|76\|7\|3\|prec=2\|columns=15\|intervals=prime}}
	{{Harmonics in equal\|76\|7\|3\|prec=2\|columns=15\|intervals=odd}}		{{Harmonics in equal\|76\|7\|3\|prec=2\|columns=15\|intervals=odd}}

Lériendil at 04:24, 6 August 2024

2024-08-06T04:24:37Z

← Older revision		Revision as of 04:24, 6 August 2024
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}

	76ed7/3 is a tuning system dividing the subminor tenth, [[7/3]], into 76 equal parts. While it fails to accurately represent the 3rd, 5th, or 7th harmonics, it inherits great approximations of the 11th, 13th, 17th, and 19th harmonics from its cousin [[197edt]], notable for its strong representation of the no-twos, no-fives JI subgroup. 76ed7/3 additionally provides an equave stretch appropriate for producing, at the cost of a flat tendency for most well-represented prime harmonics as well as the 9th harmonic, a passable approximation to [[5/3]] and interesting approximations to many higher primes. Its natural subgroup in the [[19-limit]] is 7/3.9.11.13.15.17.19, but this can extend to include higher primes, especially 29 and 31.		76ed7/3 is a tuning system dividing the subminor tenth, [[7/3]], into 76 equal parts. While it fails to accurately represent the 3rd, 5th, or 7th harmonics, it inherits great approximations of the 11th, 13th, 17th, and 19th harmonics from its cousin [[197edt]], notable for its strong representation of the no-twos, no-fives JI subgroup. 76ed7/3 additionally provides an equave stretch appropriate for producing, at the cost of a flat tendency for most well-represented prime harmonics as well as the 9th harmonic, a passable approximation to [[5/3]] and interesting approximations to many higher primes; however, 76ed7/3 should also be noted for the exceptional quality of its approximation to [[11/9]], inherited from 38ed7/3, which is a mere 0.0088 cents off from just. Its natural subgroup in the [[19-limit]] is 7/3.9.11.13.15.17.19, but this can extend to include higher primes, especially 29 and 31.

	{{Harmonics in equal\|76\|7\|3\|prec=2\|columns=15\|intervals=prime}}		{{Harmonics in equal\|76\|7\|3\|prec=2\|columns=15\|intervals=prime}}
	{{Harmonics in equal\|76\|7\|3\|prec=2\|columns=15\|intervals=odd}}		{{Harmonics in equal\|76\|7\|3\|prec=2\|columns=15\|intervals=odd}}

Lériendil at 04:21, 6 August 2024

2024-08-06T04:21:16Z

← Older revision		Revision as of 04:21, 6 August 2024
Line 1:		Line 1:
	~~{{Stub}}~~
	{{Infobox ET}}		{{Infobox ET}}

			76ed7/3 is a tuning system dividing the subminor tenth, [[7/3]], into 76 equal parts. While it fails to accurately represent the 3rd, 5th, or 7th harmonics, it inherits great approximations of the 11th, 13th, 17th, and 19th harmonics from its cousin [[197edt]], notable for its strong representation of the no-twos, no-fives JI subgroup. 76ed7/3 additionally provides an equave stretch appropriate for producing, at the cost of a flat tendency for most well-represented prime harmonics as well as the 9th harmonic, a passable approximation to [[5/3]] and interesting approximations to many higher primes. Its natural subgroup in the [[19-limit]] is 7/3.9.11.13.15.17.19, but this can extend to include higher primes, especially 29 and 31.

			{{Harmonics in equal\|76\|7\|3\|prec=2\|columns=15\|intervals=prime}}
	{{Harmonics in equal\|76\|7\|3\|prec=2\|columns=15\|intervals=odd}}		{{Harmonics in equal\|76\|7\|3\|prec=2\|columns=15\|intervals=odd}}

Lériendil at 04:08, 6 August 2024

2024-08-06T04:08:13Z

← Older revision		Revision as of 04:08, 6 August 2024
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	{{Infobox ET}}		{{Infobox ET}}

	{{Harmonics in equal\|76\|7\|3\|prec=2\|columns=15}}		{{Harmonics in equal\|76\|7\|3\|prec=2\|columns=15\|intervals=odd}}

Lériendil at 04:07, 6 August 2024

2024-08-06T04:07:38Z

← Older revision		Revision as of 04:07, 6 August 2024
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	{{Stub}}		{{Stub}}
	{{Infobox ET}}		{{Infobox ET}}

			{{Harmonics in equal\|76\|7\|3\|prec=2\|columns=15}}

Francium: Marked page as stub

2023-10-04T09:57:25Z

Marked page as stub

← Older revision		Revision as of 09:57, 4 October 2023
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			{{Stub}}
	{{Infobox ET}}		{{Infobox ET}}

Moremajorthanmajor: Created page with "{{Infobox ET}}"

2023-05-04T02:59:50Z

Created page with "{{Infobox ET}}"

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