Talk:List of pitch intervals

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Lists

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Music theory

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Tunings, Temperaments, and Scales (defunct)

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Other tuning images

Is there any interest in me creating more of images like this, but with different tunings? SharkD Talk 01:38, 14 November 2016 (UTC)[reply]

See: WP:BOLD and WP:CAREFUL. Hyacinth (talk) 01:10, 5 February 2020 (UTC)[reply]

Superparticular ratio

There is a column in the table to mark superparticular ratios. The corresponding WP page states they are of importance in music theory, but that page does not mention them. I cannot possibly see any musical relevance of these ratios, except the small ones that naturally occur in limit-tunings. Therefore I propose to eliminate this column. −Woodstone (talk) 14:14, 1 November 2020 (UTC)[reply]

Inconsistency in mathematical data in 2 rows

Hi, I am parsing this wikipedia table for a microtonal project with (Python/Pandas, JavaScript/Mathjs), So I am adding a numerical ratio field (that makes much more sense from the polychromatic/microtonal perspective of my project) after looking the data there are Inconsistencies, things that doesn't match between the cents and the ratio expressed as a formula.

I prefer to just warn about this that change it myself, I am only reporting for the mathemathical inconsistency I don't know if there are other issues or what are the right values. (I am sorry for the format) the end number is the Ratio, also the fractions are represented in a way that Pandas or Python could be get the value with pd.eval or eval

ID Cents
24	23.46	B♯+++	531441/524288	3**(12)/2**(19)	Pythagorean comma,[10][11] ditonic comma	3	1.013643265
316	1223.46	B♯+++	531441/524288	3**(12)/2**(18) Pythagorean augmented seventh	3	1.013643265
531441/524288=1.013643265
3**(12)/2**(18)=2.02728652954102
531441/262144 = 2.02728652954102 <== so this is the right value

237	833.09		5**(1/2)+1/2	φ/1		Golden ratio (833 cents scale)		2.736067977
238	833.11		233/144		233/2**(4)×3**(2)	Golden ratio approximation (833 cents scale)	233	1.618055556
233/144 = 1.61805555555556 = 233/2**(4)×3**(2)
5**(1/2)+1/2 = 2.736067977 = 1742.524889 Cents, this formula maybe wrong, also why two rows pointing to the golden ration?

For the purpose of tuning, notes are conventionally considered octave repeating, and intervals are therefore reduced by factors two to stay under 2. So the second one does not really belong in the table (just as the other few over 2). These seem to be given because they have special name. That is not a good idea, because there is not end to it in view of wider intervals, many of which are common in jazz harmony. They do not add essentially different interval types, only their names.

The golden ratio is (5^1/2+1)/2 or 833.09 cents. You have the brackets wrong. The other one is a rational approximation to the golden ratio. Both are curiosities and have no musical meaning.

−Woodstone (talk) 15:52, 16 July 2021 (UTC)[reply]

Agree, ratios should be given between the octave only.

I don't see any logical reason to have two golden ratios in this list or to have it without the right mathemathical notation as you did mention (5^1/2+1)/2 instead of 5^1/2+1/2 ::-49.230.136.53 (talk) 09:00, 18 July 2021 (UTC)[reply]

2-limit

Unisons and octaves should be 2-limit, not 3-limit, according to http://www.tonalsoft.com/enc/l/limit.aspx — Omegatron (talk) 01:00, 27 December 2022 (UTC)[reply]

Incorrect audio sample for 325 and 825 cents

The sample interval audio for 325 cents and 825 cents are audibly wider than they should be (wider than the intervals below them on the list), to my ear by at least 50 cents. I do not know how to produce the appropriate audio samples to fix it myself.

Crrrrrrystal (talk) 21:58, 9 August 2025 (UTC)[reply]