File:Music intervals frequency ratio equal tempered pythagorean comparison.svg

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Summary

Description

English: Comparison of the Pythagorean (green) and equal-tempered (black) tunings.

Pythagorean scale
# of fifths	Letter name	Interval name	Just cents	ET cents	Difference	Relation to ET
-6	Gb--	Pythagorean diminished fifth	588.27	600	11.73	Below
-5	Db--	Pythagorean minor second	90.22	100	9.78	Below
-4	Ab-	Pythagorean minor sixth	792.18	800	7.82	Below
-3	Eb-	Pythagorean minor third	294.13	300	5.87	Below
-2	Bb-	Pythagorean minor seventh	996.09	1000	3.91	Below
-1	F	Perfect fourth	407.82	500	1.96	Below
0	C	Unison	0	0	0	Equal
1	G	Perfect fifth	701.96	700	1.96	Above
2	D	Major second	203.91	200	3.91	Above
3	A+	Pythagorean major sixth	905.87	900	5.87	Above
4	E+	Pythagorean major third	407.82	400	7.82	Above
5	B+	Pythagorean major seventh	1109.78	1100	9.78	Above
6	F#++	Pythagorean augmented fourth	611.73	600	11.73	Above

Date

10 August 2008

Source

Own work. Download source code.

Author

SharkD

Other versions

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Licensing

I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
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I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

File history

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	Date/Time	Dimensions	User	Comment
current	08:28, 13 November 2016	1,000 × 500 (167 KB)	Datumizer	Reverted to version as of 05:34, 13 November 2016 (UTC)
	08:27, 13 November 2016	750 × 375 (167 KB)	Datumizer	Smaller image. Bigger text.
	05:34, 13 November 2016	1,000 × 500 (167 KB)	Datumizer	Fixed tunings. Set the x axis to 1 unit above the origin.
	18:34, 5 May 2014	759 × 398 (18 KB)	Trlkly	Trimmed excess parts of chart, removed covered up lines, converted curve to an actual curve (maintaining precision), removed excess precision from other parts, converted path-text to actual text.
	07:55, 24 November 2011	793 × 593 (223 KB)	Orionist	made unison point white
	08:35, 20 November 2011	793 × 593 (223 KB)	Orionist	changed grey dots to red dots for clarity
	06:06, 10 August 2008	793 × 593 (222 KB)	Datumizer	resize
	06:04, 10 August 2008	948 × 709 (239 KB)	Datumizer	remove blue open dot
	05:44, 10 August 2008	958 × 719 (240 KB)	Datumizer	Use open dots for frequency ratios greater than or equal to 2:1.
	05:32, 10 August 2008	3,968 × 2,976 (225 KB)	Datumizer	{{Information \|Description={{en\|1=Comparison of the Pythagorean and equal-tempered tunings.}} \|Source=Own work by uploader \|Author=SharkD \|Date=2008-08-10 \|Permission= \|other_versions= }} {{ImageUpload\|full}}