Triangulum harmonicum

Leibniz harmonic triangle - triangular arrangement L(r,c) of unit fractions, where (r,c) are row and column numbers, such that L(r, 1) = 1/r and L(r, c) = L(r − 1, c − 1) − L(r, c − 1). Article “Triangulum harmonicum” in Latin Wikipedia has 23.6 points for quality (as of July 1, 2025).

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

Since the creation of article “Triangulum harmonicum”, its content was written by 7 registered users of Latin Wikipedia and edited by 87 registered Wikipedia users in all languages.

The article is cited 2 times in Latin Wikipedia and cited 37 times in all languages.

The highest Authors Interest rank from 2001:

• Local (Latin): #449 in February 2013
• Global: #65190 in February 2013

The highest popularity rank from 2008:

• Local (Latin): #8283 in May 2017
• Global: #640592 in November 2012

There are 12 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	Dutch (nl) Harmonische driehoek		26.5008
2	Latin (la) Triangulum harmonicum		23.625
3	English (en) Leibniz harmonic triangle		17.114
4	French (fr) Triangle harmonique de Leibniz		14.889
5	Romanian (ro) Triunghiul armonic al lui Leibniz		13.7061
6	Spanish (es) Triángulo armónico de Leibniz		12.4669
7	Finnish (fi) Leibnizin kolmio		11.6976
8	Chinese (zh) 莱布尼茨三角形		10.9053
9	Japanese (ja) ライプニッツの調和三角形		6.4965
10	Hebrew (he) המשולש ההרמוני של לייבניץ		6.1816

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

The most popular language versions of the article "Triangulum harmonicum" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Leibniz harmonic triangle		110 482
2	German (de) Harmonisches Dreieck		23 026
3	Japanese (ja) ライプニッツの調和三角形		20 107
4	Chinese (zh) 莱布尼茨三角形		14 139
5	French (fr) Triangle harmonique de Leibniz		12 930
6	Spanish (es) Triángulo armónico de Leibniz		1 767
7	Latin (la) Triangulum harmonicum		1 545
8	Hebrew (he) המשולש ההרמוני של לייבניץ		1 491
9	Dutch (nl) Harmonische driehoek		998
10	Arabic (ar) مثلث لايبنز المتناسق		712

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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 "Triangulum harmonicum" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Leibniz harmonic triangle		310
2	French (fr) Triangle harmonique de Leibniz		209
3	Japanese (ja) ライプニッツの調和三角形		78
4	German (de) Harmonisches Dreieck		42
5	Chinese (zh) 莱布尼茨三角形		35
6	Spanish (es) Triángulo armónico de Leibniz		14
7	Romanian (ro) Triunghiul armonic al lui Leibniz		12
8	Arabic (ar) مثلث لايبنز المتناسق		11
9	Finnish (fi) Leibnizin kolmio		8
10	Dutch (nl) Harmonische driehoek		8

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

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

#	Language	AI award	Relative AI
1	English (en) Leibniz harmonic triangle		26
2	German (de) Harmonisches Dreieck		14
3	French (fr) Triangle harmonique de Leibniz		11
4	Japanese (ja) ライプニッツの調和三角形		8
5	Latin (la) Triangulum harmonicum		7
6	Finnish (fi) Leibnizin kolmio		5
7	Chinese (zh) 莱布尼茨三角形		5
8	Dutch (nl) Harmonische driehoek		3
9	Arabic (ar) مثلث لايبنز المتناسق		2
10	Spanish (es) Triángulo armónico de Leibniz		2

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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 "Triangulum harmonicum" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	Arabic (ar) مثلث لايبنز المتناسق		0
2	German (de) Harmonisches Dreieck		0
3	English (en) Leibniz harmonic triangle		0
4	Spanish (es) Triángulo armónico de Leibniz		0
5	Finnish (fi) Leibnizin kolmio		0
6	French (fr) Triangle harmonique de Leibniz		0
7	Hebrew (he) המשולש ההרמוני של לייבניץ		0
8	Japanese (ja) ライプニッツの調和三角形		0
9	Latin (la) Triangulum harmonicum		0
10	Dutch (nl) Harmonische driehoek		0

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

Language versions of the article "Triangulum harmonicum" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Leibniz harmonic triangle		13
2	Japanese (ja) ライプニッツの調和三角形		8
3	Dutch (nl) Harmonische driehoek		3
4	Romanian (ro) Triunghiul armonic al lui Leibniz		3
5	German (de) Harmonisches Dreieck		2
6	French (fr) Triangle harmonique de Leibniz		2
7	Latin (la) Triangulum harmonicum		2
8	Arabic (ar) مثلث لايبنز المتناسق		1
9	Finnish (fi) Leibnizin kolmio		1
10	Hebrew (he) המשולש ההרמוני של לייבניץ		1

More...

#	Language	Value
ar	Arabic مثلث لايبنز المتناسق
de	German Harmonisches Dreieck
en	English Leibniz harmonic triangle
es	Spanish Triángulo armónico de Leibniz
fi	Finnish Leibnizin kolmio
fr	French Triangle harmonique de Leibniz
he	Hebrew המשולש ההרמוני של לייבניץ
ja	Japanese ライプニッツの調和三角形
la	Latin Triangulum harmonicum
nl	Dutch Harmonische driehoek
ro	Romanian Triunghiul armonic al lui Leibniz
zh	Chinese 莱布尼茨三角形

Best Rank

Latin: #8283 05.2017

Global: #640592 11.2012

Best Rank

Latin: #449 02.2013

Global: #65190 02.2013

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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