List of intervals in 5-limit just intonation

The fundamental intervals are the superparticular ratios 2/1 (the octave), 3/2 (the perfect fifth) and 5/4 (the major third).That is, the notes of the major triad are in the ratio 1:5/4:3/2 or 4:5:6.The intervals within the diatonic scale are shown in the table below.(The Pythagorean minor second is found by adding 5 perfect fourths.)The table below shows how these steps map to the first 31 scientific harmonics, transposed into a single octave.
just intonationprime limitthe powers of 2, 3, and 5superparticular ratiosoctaveperfect fifthmajor thirdmajor triadmajor secondsmajor toneminor tonediatonic scaleHoldrian commasArel-Ezgi-Uzdilek notationunisonsyntonic commadiesisPythagorean minor seventhList of musical intervalsList of pitch intervalsPythagorean intervalIntervalsTwelve-semitonesemitonesfourthsecondseventheleventhtwelfththirteenthfourteenthfifteenth24-tone equal temperamentNeutralquarter tonemajor fourthminor fifthJust intonations7-limitseptimal quarter toneseptimal third toneseptimal chromatic semitoneseptimal diatonic semitonesupermajor secondsubminor thirdsupermajor thirdsubminor fifthsupermajor fourthsubminor seventhHigher-limitminor diatonic semitoneMicrotonePseudo-octaveSubminor and supermajorPythagorean limmaPythagorean apotomeMajor limmaUndecimal quarter toneCommasPythagorean commaHoldrian commaSeptimal commaLesser diesisGreater diesisSeptimal diesisDiaschismaSemicommaSeptimal semicommaKleismaSeptimal kleismaSchismaBreedsmaRagismaMillioctaveSavartDitoneSemiditoneIncomposite intervalMusical tuningsIntervalInterval ratioPitch classConsonance and dissonanceList of meantone intervalsEuler–Fokker genusHarmonic scaleHarry Partch's 43-tone scaleHexany5-limitList of compositionsOtonalityPtolemy's intense diatonic scalePythagorean tuningScale of harmonicsTonality diamondTonality fluxTemperaments6-tone12-tone15-tone17-tone19-tone22-tone23-tone24-tonepieces31-tone34-tone41-tone53-tone58-tone72-tone96-toneLinearMeantonequarter-commaseptimalSchismaticMiracleRegular diatonicWell temperamentTemperament ordinaireKirnbergerVallottiWerckmeisterChinese musicologyShí-èr-lǜDastgahArabic maqamTurkish makamMughamOctoechosCarnatic ragaSlendroTetrachord833 cents scaleA12 scaleAlpha scaleBeta scaleGamma scaleDelta scaleLambda scale