Musical isomorphism

en

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Musical isomorphism

Quality:

Musical isomorphism - isomorphism between the tangent and cotangent bundles on a smooth manifold; induced by either a RIemannian or symplectic structure. Article "Musical isomorphism" in English Wikipedia has 20.2 points for quality (as of August 1, 2024). The article contains 3 references and 10 sections. The article also contains quality flaw template, which reduce quality score.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that language version.

In July 2024 the article "Musical isomorphism" was edited by 2 authors in English Wikipedia and written by 2 authors in all languages.

Since the creation of article "Musical isomorphism", its content was written by 69 registered users of English Wikipedia and edited by 116 registered Wikipedia users in all languages.

The article is cited 57 times in English Wikipedia and cited 89 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #94755 in March 2004
  • Global: #142519 in March 2004

The highest popularity rank from 2008:

  • Local (English): #228175 in July 2020
  • Global: #378310 in July 2020

There are 10 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 August 1, 2024 (including revision history and pageviews for previous years).

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

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Musical isomorphism
20.1609
2Portuguese (pt)
Isomorfismo musical
13.1259
3Korean (ko)
음악 동형
12.1947
4French (fr)
Isomorphisme musical
11.1963
5Chinese (zh)
音乐同构
9.5463
6Vietnamese (vi)
Đẳng cấu thăng giáng (hình học Riemann)
8.7885
7Catalan (ca)
Isomorfisme musical
5.1612
8Polish (pl)
Izomorfizm muzyczny
4.4203
9Spanish (es)
Isomorfismo musical
4.033
10Italian (it)
Isomorfismo musicale
3.5375
More...

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

Most popular in all the time

The most popular language versions of the article "Musical isomorphism" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Musical isomorphism
278 583
2Polish (pl)
Izomorfizm muzyczny
20 440
3Italian (it)
Isomorfismo musicale
19 681
4Spanish (es)
Isomorfismo musical
13 499
5Chinese (zh)
音乐同构
7 703
6Korean (ko)
음악 동형
1 763
7Catalan (ca)
Isomorfisme musical
1 588
8Portuguese (pt)
Isomorfismo musical
1 243
9French (fr)
Isomorphisme musical
1 091
10Vietnamese (vi)
Đẳng cấu thăng giáng (hình học Riemann)
114
More...

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

Most popular in July 2024

The most popular language versions of the article "Musical isomorphism" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
Musical isomorphism
2 510
2Italian (it)
Isomorfismo musicale
110
3Chinese (zh)
音乐同构
40
4French (fr)
Isomorphisme musical
34
5Polish (pl)
Izomorfizm muzyczny
30
6Spanish (es)
Isomorfismo musical
28
7Korean (ko)
음악 동형
24
8Portuguese (pt)
Isomorfismo musical
10
9Vietnamese (vi)
Đẳng cấu thăng giáng (hình học Riemann)
4
10Catalan (ca)
Isomorfisme musical
3
More...

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

The highest AI

Language versions of the article "Musical isomorphism" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Musical isomorphism
69
2Italian (it)
Isomorfismo musicale
9
3French (fr)
Isomorphisme musical
8
4Polish (pl)
Izomorfizm muzyczny
8
5Spanish (es)
Isomorfismo musical
6
6Catalan (ca)
Isomorfisme musical
5
7Chinese (zh)
音乐同构
4
8Korean (ko)
음악 동형
3
9Vietnamese (vi)
Đẳng cấu thăng giáng (hình học Riemann)
3
10Portuguese (pt)
Isomorfismo musical
1
More...

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

The highest AI in July 2024

Language versions of the article "Musical isomorphism" with the highest AI in July 2024
#LanguageAI awardRelative AI
1English (en)
Musical isomorphism
2
2Catalan (ca)
Isomorfisme musical
0
3Spanish (es)
Isomorfismo musical
0
4French (fr)
Isomorphisme musical
0
5Italian (it)
Isomorfismo musicale
0
6Korean (ko)
음악 동형
0
7Polish (pl)
Izomorfizm muzyczny
0
8Portuguese (pt)
Isomorfismo musical
0
9Vietnamese (vi)
Đẳng cấu thăng giáng (hình học Riemann)
0
10Chinese (zh)
音乐同构
0
More...

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

The highest CI

Language versions of the article "Musical isomorphism" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Musical isomorphism
57
2Korean (ko)
음악 동형
10
3Italian (it)
Isomorfismo musicale
6
4Spanish (es)
Isomorfismo musical
5
5French (fr)
Isomorphisme musical
3
6Polish (pl)
Izomorfizm muzyczny
3
7Catalan (ca)
Isomorfisme musical
2
8Portuguese (pt)
Isomorfismo musical
2
9Chinese (zh)
音乐同构
1
10Vietnamese (vi)
Đẳng cấu thăng giáng (hình học Riemann)
0
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in July 2024:
English:
Global:
Popularity in all years:
English:
Global:
Authors in July 2024:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
caCatalan
Isomorfisme musical
enEnglish
Musical isomorphism
esSpanish
Isomorfismo musical
frFrench
Isomorphisme musical
itItalian
Isomorfismo musicale
koKorean
음악 동형
plPolish
Izomorfizm muzyczny
ptPortuguese
Isomorfismo musical
viVietnamese
Đẳng cấu thăng giáng (hình học Riemann)
zhChinese
音乐同构

Popularity rank trends

Best Rank English:
#228175
07.2020
Global:
#378310
07.2020

AI rank trends

Best Rank English:
#94755
03.2004
Global:
#142519
03.2004

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Musical isomorphism from Wikipedia articles about Exterior derivative, Curl, Sharp sign, Gradient and Divergence. Whereas reading the article about Musical isomorphism people most often go to Wikipedia articles on Raising and lowering indices, Pseudo-Riemannian manifold, Hodge star operator, Marcel Berger and Tangent bundle.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 26 December 2024

On 26 December 2024 in multilingual Wikipedia, Internet users most often read articles on the following topics: Squid Game, Boxing Day, 2004 Indian Ocean earthquake, Squid Game, season 2, Hanukkah, Azerbaijan Airlines Flight 8243, Empress Elisabeth of Austria, Nosferatu, Mufasa: The Lion King, Gladiator II.

In English Wikipedia the most popular articles on that day were: Manmohan Singh, Squid Game season 2, Boxing Day, Nosferatu (2024 film), Pushpa 2: The Rule, Baby John (film), Squid Game, Sam Konstas, Azerbaijan Airlines Flight 8243, Gavin & Stacey.

About WikiRank

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 August, 2024. When calculating current popularity and AI of articles data from July 2024 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2023... More information