Harmony in Gradation formula and its modifications are promoted for use in all branches of science.
The Fundamental of Harmony in Gradation
The Harmony in Gradation is the formula that has been made by Sigit Haryadi on April 28, 2016, which was originally named as “Haryadi Index” since only focus to use in the Competition Law field, to replace the HerfindahlHirschman Index (HHI). But, after studying for two years, the inventor was very confident that the formula can be used as an alternative to replace many existing methods in all branches of science, because in the formula both contain two contradictory things that no one has ever thought to merge them, namely “the Harmony” and “the Gradation”, on the other hand, the existing formulas contain only that one element.
More specifically, pay close attention to the Images of Equalizer which is the closest form of the Harmony in Gradation, where each calculator that is on this website is a representation of one or more of the equalizer images.
A painting or natural landscape that has a combination of shapes and colors will look very beautiful if there is a harmony of the gradation of the shapes and colors that lie in suitable positions. Also, a musical composition that has a combination of tone and rhythm will sound very melodious if there is a harmony of the tonal gradation and the rhythm that lies in the appropriate time sequence. Then, inspired by paintings, natural scenery, and music, we suppose that most of the mathematical formula in all sciences should have two elements simultaneously that “the Harmony” and “the Gradation”.
It has been proven, the existence of “the harmony” and “the gradation” at the same time on a formula when used to analyze a Union or a random variable is to produce an index or level that accurately and precisely represents the “harmony level” of the Union or random variable regardless of the population. This means that an index equal to one is showing the perfect conditions of the harmony level, a value equal to 0.95 means that the harmony level is 0.95 of the perfect, a value equal to 0.75 indicates the harmony level is equal to 0.75 of the perfect, and so on. The consequence, the Harmony in Gradation will produce an index that represents the nature of the union or the random variable very accurately and precisely.
More specifically, the branch of science that is worth considering the use of Harmony in Gradation is that it uses “the level of harmony” which represents “the beauty” as the keyword of the research, which in each branch of science are called in different terms such as “level of balance”, “equilibrium level”, “stability level”, “level of parity”, “equipoise level”, “level of competition”, “level of justice”, “fairness level”, “level of correlation”, “entropy”, “level of performance”, “Level of quality”, “level of certainty”, “level of health”, “level of similarity”, “confidence level”, “level of consistency”, “level of equity”, “level of equality”, and others. And, don’t forget, since some branches of science prefer to use the negative of these terms, then the spirit of Harmony in Gradation also corresponds to the terms of “the level of imbalance”, “the level of concentration”, “the level of injustice”, “unfairness level”, “complement level”, “counterbalance level”, “level of uncertainty”, “level of relativity”, “level of inequality”, “level of inequity”, and others.
Furthermore, there are three ways to use the Harmony in Gradation formula. First is to replace the existing formula. Second, only the spirit is utilized, in the sense that the existing formula is modified in such a way so that in the same time it has the two elements which “the Harmony” and “the Gradation”. And third, the Harmony in Gradation formula is only used to calculate the harmony level of the union or random variables that are being observed, which are formed or defined through an existing formula or a formula that was just made.
In essence, the name of the formula is the Harmony in Gradation, not the Gradation in Harmony because the goal is to form the harmony. Moreover, when we are analyzing a Union or a random variable that has the harmony level that we consider too low and want to increase it, then there are several alternatives that can be done. First, combining several elements that have relatively small strength so that the union population will be less but there will be a balance of power between the existing elements that have great power with new elements which are a combination of small elements. Second, let the elemental population not change, but shift or give a portion of the strength of the elements that are relatively large to the small elements. Third, combines the first and second ways. The fourth way, if you have a Union or random variable that is less harmonious, then we put it side by side and compare to the other Union or random variable which also not harmonious, but these two unions have the same relative strength distribution so that the combination of these Unions will appear harmonious. Fifth, is done if we cannot change the harmony level of pairs of objects and/or waves, and can only observe, then we should use the Harmony in Gradation to examine what will happen in the future in pairs of objects and/or waves that will change or move continuously caused by disharmony that is slightly less perfect between them. In the future, it may take the sixth method, the seventh strategy and so on.
The Formula of Harmony in Gradation
The formula “Harmony in Gradation” is written as follows:
Where: HiG is “the Harmony in Gradation” of a random variable (or set) which has a sample population (or subset) = N, and Si is “the Share” of each sample (or subset) = comparison between strengths or the value of each sample (or subset) with the total strength of the random (or set) variable.
Note: The weakness of Existing Formulas (the formula containing one of the Harmony or the Gradation)

 The weakness of the formulas containing only “the Harmony” is cannot give the exact same index to the random variable (or set) that have the same nature but have different sample populations.
 The weakness of the formulas containing only “The Gradation” is to give the possibility that some random variables (or sets) of a different nature that have same sample populations will get the same index.
References:




 Haryadi, S. (2019, January 15). The New Pythagorean Equation that Applies to all Types of Lines. Retrieved from osf.io/preprints/inarxiv/umxq3
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 Sigit Haryadi. (2017). Haryadi Index and Its Applications in Science of Law, Sociology, Economics, Statistics, and Telecommunications. Penerbit Elex Media Komputindo. Jakarta. ISBN: 9786020298955.
 Haryadi, S. (2018, December 6). The Fundamental of Harmony in Gradation, the Formula for Everything. Retrieved from osf.io/preprints/inarxiv/z2rvj
 Sigit Haryadi. (2017). The Fairness over Inequality Index: Unfairness is Disaster – a notebook of Sigit Haryadi. Researchgate. DOI: 10.13140/RG.2.2.34379.49449.
 Haryadi, S. (2018, March 17). The Ten First Implementations to prove that “The Harmony in Gradation” is “The Formula Everything”. Retrieved from osf.io/preprints/inarxiv/59szb
 Sigit Haryadi. (March 17, 2018). The Six 100yearold Formula Should be Replaced. Researchgate. DOI 10.13140/RG.2.2.21919.66723
 Haryadi, S. (2018, December 12). A New Postulate for Using the Harmony in Gradation to Finding the Theory of Everything. Retrieved from osf.io/preprints/inarxiv/2rak6
 Sigit Haryadi. (2017). Indeks Haryadi dan Penerapan di Ilmu Hukum, Sosiologi, Ekonomi, Statistik, dan Telekomunikasi. Penerbit Elex Media Komputindo, Jakarta. ISBN: 9786020298962
 Sigit Haryadi. (2016). Haryadi Index for Competition, Equality and Correlation Evaluation. Penerbit Lantip Safari Media, Bandung, Indonesia. ISBN: 9786027323132
 Sigit Haryadi. (2016). Haryadi Index untuk Evaluasi Kompetisi, Kesetaraan dan Korelasi. Penerbit Lantip Safari Media, Bandung, Indonesia. ISBN: 9786027323131
 Haryadi, S. (2018, March 29). Estimasi Cerdas VerH.1.0. http://doi.org/10.17605/OSF.IO/DHQ9Y
 Haryadi, S. (2018, March 29). Smart Estimation VerH.1.0. http://doi.org/10.17605/OSF.IO/2TYQK
 Haryadi, S. (2018, March 17). Sepuluh Implementasi Yang Pertama untuk Membuktikan bahwa “The Harmony in Gradation” adalah “The Formula Everything”. Retrieved from osf.io/preprints/inarxiv/ja9ve
 Haryadi, S., & California, S. H. (2018, March 14). New Method to Calculate the Level of Consistency of the Pauli & Kraepelin Tests. Retrieved from osf.io/preprints/inarxiv/ty326
 Haryadi, S., & California, S. H. (2018, March 14). Metoda Baru Untuk Menghitung Tingkat Konsistensi pada Tes Pauli & Kraepelin. Retrieved from osf.io/preprints/inarxiv/qht8j
 Haryadi, S. (2018, March 6). Calculation the Equity Level of an Internet Service. Retrieved from osf.io/uzcmq
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 Dyah Rakhma Ariyanti; Sigit Haryadi. (October 2017). Analysis of Harmony In Gradation Index on 5G Cellular Network Quantitative Analysis. The 11th International Conference on Telecommunication Systems, Services, and Applications, At Lombok, Indonesia.
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 Haryadi, S. (2018, February 1). KALKULATOR untuk membuat Regresi Linier Tanpa Intersep. Retrieved from osf.io/emvs7
 Haryadi, S. (2018, February 1). Kalkulator Untuk Mengukur Tingkat Kompetisi di suatu Industri, dengan menggunakan rumus Indeks Haryadi. Retrieved from osf.io/fy7zu
 Haryadi, S. (2018, February 17). Calculation the Competition Levels between Students in Class and the Relation to the Teacher or Lecture Fairness in Teaching. Researchgate. DOI: 10.13140/RG.2.2.30359.06569
 Haryadi, S. (2018, February 17). Perhitungan Tingkat Kompetisi antar Murid atau Mahasiswa di Kelas dan Kaitannya Dengan Keadilan Guru atau Dosen Dalam Mengajar. Retrieved from osf.io/a894w
 Haryadi, S. (2018, February 22). Equality Correlation Calculation. Researchgate. DOI: 10.13140/RG.2.2.22068.76168
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 Haryadi, S. (2018, February 24). Calculation of “Channel Cavity” on Data Communications. Equality Correlation Calculation. Research gate. DOI: 10.13140/RG.2.2.30536.01288
 Haryadi, S. (2018, February 24). Perhitungan “Rongga Kanal” pada Komunikasi Data. Retrieved from osf.io/preprints/inarxiv/y3wcg
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 Haryadi, S. (2018, January 26). Chapter 2 of Network Performance and Quality of Service: Determination of Key Performance Indicator (KPI). Retrieved from osf.io/preprints/inarxiv/6gtnd
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 Nie Levin Kusuma Adiatma ; Sigit Haryadi. (2017, October). Comparison of the Haryadi Index with Existing Method in Competition, Equality, Fairness, and Correlation Level Calculation Case Study: Telecommunication Industry. The 11th International Conference on Telecommunication Systems, Services, and Applications, At Lombok, Indonesia.
 Sigit Haryadi. (2017). Calculation of the Mobile Communication Competition using Haryadi Index. DOI: 10.13140/RG.2.2.15634.25280
 Sigit Haryadi. (2017). Harmony in Gradation and and its prospects as the Formula of Everything (First edition of posts: December 31, 2017). Researchgate. DOI: 10.13140/RG.2.2.19309.08169
 Sigit Haryadi. (2017). the Equality Correlation Method. Researchgate. DOI: 10.13140/RG.2.2.10443.80169.
 Sigit Haryadi. (2017). The NonIntercept Linear Regression Method. Researchgate. DOI: 10.13140/RG.2.2.18721.71522
 Sigit Haryadi. (2017, December). Calculator for Measurement the Competition Index & Level. Researchgate. DOI: 10.13140/RG.2.2.23626.26568
 Sigit Haryadi. (2017, December). Calculator for non intercept linear regression. Researchgate. DOI: 10.13140/RG.2.2.15761.94562.
 Sigit Haryadi. (2017, January). Calculation of the Income Equality Levels between Regions using the Haryadi Index. Researchgate. DOI: 10.13140/RG.2.2.36605.77282
 Sigit Haryadi. (2018, February). Applied Statistics for Assessment of the Regulation and Policy: case study in Telecommunication Industry. DOI: 10.13140/RG.2.2.15774.02884
 Sigit Haryadi; Dyah Rakhma Ariyanti. (October 2017). The Fairness of Resource Allocation and Its Impact on 5G UltraDense Cellular Network Performance. The 11th International Conference on Telecommunication Systems, Services, and Applications, At Lombok, Indonesia.
 Westi Riani; Sigit Haryadi. (2017). CALCULATOR for the Government to make the Fair Policy of Tax Rates. Researchgate. DOI: 10.13140/RG.2.2.18550.50246. Available online at http://sigitharyadi.net/multidicipline/incometaxratescalculatorid/
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 Haryadi, S., & Riani, W. (2018, March 12). Telecommunication Competition and Interconnection. Retrieved from osf.io/preprints/inarxiv/7tfqd
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 Westi Riani; Sigit Haryadi. (2016). Keterbatasan Indeks Gini sebagai Ukuran Ketimpangan Pendapatan dan Solusi Metoda Alternatif. Prosiding SNaPP: Sosial, Ekonomi, dan Humaniora. Tersedia di http://proceeding.unisba.ac.id/index.php/sosial/article/view/383
 Haryadi, S., & Riani, W. (2018, March 19). Pengukuran Ketimpangan Indeks Pembangunan Manusia. Retrieved from osf.io/preprints/inarxiv/x9vjt
 Haryadi, S., & Riani, W. (2018, March 19). Measurement of the Human Development Index Inequality. Retrieved from osf.io/preprints/inarxiv/5r42m
 Haryadi, Sigit. 2018. “Always Move to Seek Perfection: The New Equilibrium Index Calculation for the Science of Physics and Astronomy.” INARxiv. July 13. osf.io/preprints/inarxiv/8hrnb.
 Sigit Haryadi. “Homepage.” Harmony in Gradation: The Formula for Everything, 17th December 2018, https://www.haryadi.org/
 Sigit Haryadi. “A New Equilibrium Index for the science of Physics and Astronomy.” Harmony in Gradation: The Formula for Everything, 17th December 2018, https://www.haryadi.org/anewequilibriumindex/
 Sigit Haryadi. “Formula for Everything, Its My Turn Trying to Make It.” Harmony in Gradation: The Formula for Everything, 17th December 2018, https://www.haryadi.org/formulaforeverythingitsmyturntryingtomakeit/
 Sigit Haryadi. “Competition Level in the Industry.” Harmony in Gradation: The Formula for Everything, 17th December 2018, https://www.haryadi.org/competitionlevelintheindustry/
 Sigit Haryadi. “Competition Levels among Students.” Harmony in Gradation: The Formula for Everything, 17th December 2018, https://www.haryadi.org/competitionlevelsamongstudentsinclass/
 Sigit Haryadi. “Consistency Test.” Harmony in Gradation: The Formula for Everything, 17th December 2018, https://www.haryadi.org/consistencytest/
 Sigit Haryadi. “Equality Correlation.” Harmony in Gradation: The Formula for Everything, 17th December 2018, https://www.haryadi.org/equalitycorrelation/
 Sigit Haryadi. “Fair Policy of Tax Rate.” Harmony in Gradation: The Formula for Everything, 17th December 2018, https://www.haryadi.org/fairpolicyoftaxrates/
 Sigit Haryadi. “Fairness over Inequality.” Harmony in Gradation: The Formula for Everything, 17th December 2018, https://www.haryadi.org/fairnessoverinequality/
 Sigit Haryadi. “Income Equality.” Harmony in Gradation: The Formula for Everything, 17th December 2018, https://www.haryadi.org/incomeequality/
 Sigit Haryadi. “Inequality of Human Development Index.” Harmony in Gradation: The Formula for Everything, 17th December 2018, https://www.haryadi.org/inequalityofhumandevelopmentindex/
 Sigit Haryadi. “Internet Service Equity.” Harmony in Gradation: The Formula for Everything, 17th December 2018, https://www.haryadi.org/internetserviceequity/
 Sigit Haryadi. “Linear Regression without Intercept.” Harmony in Gradation: The Formula for Everything, 17th December 2018, https://www.haryadi.org/linearregressionwithoutintercept/
 Sigit Haryadi. “Modified Formula of Information Entropy.” Harmony in Gradation: The Formula for Everything, 17th December 2018, https://www.haryadi.org/channelcavity/
 Sigit Haryadi. “Performance Simulation of 5G Cellular Network.” Harmony in Gradation: The Formula for Everything, 17th December 2018, https://www.haryadi.org/performancesimulationof5gcellularnetwork/
 Sigit Haryadi. “Smart Estimation verH10.” Harmony in Gradation: The Formula for Everything, 17th December 2018, https://www.haryadi.org/smartestimationverh10/
 Sigit Haryadi. “Linear Regression With Intercept.” Harmony in Gradation: The Formula for Everything, 17th December 2018, https://www.haryadi.org/linearregressionwithintercept/
 Sigit Haryadi. “Hundreds of Years We Live With Mathematical Formulas That Are Only “Half Correct”.” Harmony in Gradation: The Formula for Everything, 17th January 2018, https://www.haryadi.org/hundredsofyearswelivewithmathematicalformulasthatareonlyhalfcorrect/
 Sigit Haryadi. “A New Pythagorean Equation that Applies to all Types of Lines.” Harmony in Gradation: The Formula for Everything, 17th January 2018, https://www.haryadi.org/thenewpythagoreanequationthatappliestoalltypesoflines/
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