Harmonic progression (mathematics)

Harmonic progression - progression formed by taking the reciprocals of an arithmetic progression. Article “Harmonic progression (mathematics)” in English Wikipedia has 18.9 points for quality (as of July 1, 2025). The article contains 3 references and 6 sections.

This article has the best quality in Greek Wikipedia. However, this article is the most popular in English version.

Since the creation of article “Harmonic progression (mathematics)”, its content was written by 34 registered users of English Wikipedia and edited by 129 registered Wikipedia users in all languages.

The article is cited 73 times in English Wikipedia and cited 368 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #50083 in March 2013
• Global: #86534 in March 2004

The highest popularity rank from 2008:

• Local (English): #111087 in July 2016
• Global: #177181 in July 2016

There are 18 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

#	Language	Quality grade	Quality score
1	Greek (el) Αρμονική πρόοδος		30.213
2	Tamil (ta) இசைத் தொடர்வரிசை (கணிதம்)		29.4991
3	German (de) Harmonische Folge		23.951
4	Ukrainian (uk) Гармонічна прогресія (математика)		21.8804
5	Basque (eu) Segida harmoniko (matematika)		21.4495
6	English (en) Harmonic progression (mathematics)		18.9231
7	Indonesian (id) Barisan harmonik (matematika)		18.6539
8	Romanian (ro) Progresie armonică		18.1825
9	Spanish (es) Progresión armónica (matemática)		16.1317
10	Polish (pl) Ciąg harmoniczny		15.74

More...

The following table shows the most popular language versions of the article.

The most popular language versions of the article "Harmonic progression (mathematics)" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Harmonic progression (mathematics)		643 392
2	German (de) Harmonische Folge		81 333
3	Japanese (ja) 調和数列		72 222
4	Polish (pl) Ciąg harmoniczny		41 533
5	Korean (ko) 조화수열		38 515
6	Spanish (es) Progresión armónica (matemática)		37 366
7	Hindi (hi) हरात्मक श्रेढी		15 940
8	Chinese (zh) 等諧數列		15 071
9	French (fr) Suite harmonique		14 615
10	Czech (cs) Harmonická posloupnost		13 890

More...

The following table shows the language versions of the article with the highest popularity in the last month.

The most popular language versions of the article "Harmonic progression (mathematics)" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Harmonic progression (mathematics)		1 077
2	Korean (ko) 조화수열		245
3	Chinese (zh) 等諧數列		174
4	Japanese (ja) 調和数列		151
5	Russian (ru) Гармоническая прогрессия		144
6	French (fr) Suite harmonique		130
7	German (de) Harmonische Folge		124
8	Polish (pl) Ciąg harmoniczny		56
9	Hindi (hi) हरात्मक श्रेढी		53
10	Czech (cs) Harmonická posloupnost		39

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The following table shows the language versions of the article with the highest Authors’ Interest.

Language versions of the article "Harmonic progression (mathematics)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Harmonic progression (mathematics)		34
2	German (de) Harmonische Folge		21
3	Polish (pl) Ciąg harmoniczny		15
4	Hindi (hi) हरात्मक श्रेढी		10
5	French (fr) Suite harmonique		9
6	Korean (ko) 조화수열		8
7	Czech (cs) Harmonická posloupnost		7
8	Japanese (ja) 調和数列		6
9	Greek (el) Αρμονική πρόοδος		4
10	Persian (fa) تصاعد همساز		3

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The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

Language versions of the article "Harmonic progression (mathematics)" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	Greek (el) Αρμονική πρόοδος		1
2	Czech (cs) Harmonická posloupnost		0
3	German (de) Harmonische Folge		0
4	English (en) Harmonic progression (mathematics)		0
5	Spanish (es) Progresión armónica (matemática)		0
6	Basque (eu) Segida harmoniko (matematika)		0
7	Persian (fa) تصاعد همساز		0
8	French (fr) Suite harmonique		0
9	Hindi (hi) हरात्मक श्रेढी		0
10	Indonesian (id) Barisan harmonik (matematika)		0

More...

The following table shows the language versions of the article with the highest number of citations.

Language versions of the article "Harmonic progression (mathematics)" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	Polish (pl) Ciąg harmoniczny		89
2	English (en) Harmonic progression (mathematics)		73
3	Korean (ko) 조화수열		41
4	Ukrainian (uk) Гармонічна прогресія (математика)		40
5	Indonesian (id) Barisan harmonik (matematika)		27
6	Chinese (zh) 等諧數列		27
7	Persian (fa) تصاعد همساز		24
8	German (de) Harmonische Folge		10
9	French (fr) Suite harmonique		7
10	Czech (cs) Harmonická posloupnost		6

More...

#	Language	Value
cs	Czech Harmonická posloupnost
de	German Harmonische Folge
el	Greek Αρμονική πρόοδος
en	English Harmonic progression (mathematics)
es	Spanish Progresión armónica (matemática)
eu	Basque Segida harmoniko (matematika)
fa	Persian تصاعد همساز
fr	French Suite harmonique
hi	Hindi हरात्मक श्रेढी
id	Indonesian Barisan harmonik (matematika)
ja	Japanese 調和数列
ko	Korean 조화수열
pl	Polish Ciąg harmoniczny
ro	Romanian Progresie armonică
ru	Russian Гармоническая прогрессия
ta	Tamil இசைத் தொடர்வரிசை (கணிதம்)
uk	Ukrainian Гармонічна прогресія (математика)
zh	Chinese 等諧數列

Best Rank

English: #111087 07.2016

Global: #177181 07.2016

Best Rank

English: #50083 03.2013

Global: #86534 03.2004

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The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information