KnowraJust intonationLinked fromLinked fromThe 19 pages that link to Just intonation, each with the reason it gives.All 19Related 8Narrower topic 2Compared with 9Music theoryCompared with: Its interval sizes differ from the equal divisions common in modern Western instruments.Equal temperamentCompared with: It can tune selected intervals more purely, but those ratios do not transfer uniformly between keys.HarmonyCompared with: Its pure ratios differ from the compromises used by equal temperament in fixed-pitch music.Musical intervalRelated: Its ratios show how interval sizes can be tuned without equal temperament.Musical tuningCompared with: It produces pure intervals in selected tonal contexts, unlike fixed equal temperament.Pythagorean tuningNarrower topic: Pythagorean tuning is one historically influential form of ratio-based intonation.Chromatic scaleCompared with: Its pitch relationships do not generally produce twelve equal semitones.Pitch classCompared with: Its tuning can distinguish enharmonic spellings that share a pitch class in equal temperament.HarmonicRelated: Its simple frequency ratios connect musical intervals to harmonic relationships.TritoneCompared with: Unlike equal temperament, just intonation offers multiple possible sizes for tritone-like intervals.Musical temperamentCompared with: It preserves pure ratios but makes many intervals unusable when music changes key.La Monte YoungRelated: Young’s later work uses precise ratios to create distinctive, slowly beating harmonies.Barbershop musicRelated: Purely tuned chord intervals can strengthen the sensation of a chord ringing.Consonance and dissonanceRelated: It extends the idea that simple ratios produce especially consonant intervals.Terry RileyRelated: Riley’s sustained-tone works often explore the resonance of precisely tuned intervals.Vincenzo GalileiRelated: Its ideal ratios provided a reference point for his tests of practical musical intervals.Gioseffo ZarlinoRelated: Zarlino explained consonant intervals through simple numerical ratios.Harry PartchNarrower topic: Partch built his tuning system from pure ratios rather than the standard twelve-tone equal temperament.Music and mathematicsCompared with: Its pure ratios contrast with equal temperament’s evenly spaced, compromise intervals.
KnowraJust intonationLinked fromLinked fromThe 19 pages that link to Just intonation, each with the reason it gives.All 19Related 8Narrower topic 2Compared with 9Music theoryCompared with: Its interval sizes differ from the equal divisions common in modern Western instruments.Equal temperamentCompared with: It can tune selected intervals more purely, but those ratios do not transfer uniformly between keys.HarmonyCompared with: Its pure ratios differ from the compromises used by equal temperament in fixed-pitch music.Musical intervalRelated: Its ratios show how interval sizes can be tuned without equal temperament.Musical tuningCompared with: It produces pure intervals in selected tonal contexts, unlike fixed equal temperament.Pythagorean tuningNarrower topic: Pythagorean tuning is one historically influential form of ratio-based intonation.Chromatic scaleCompared with: Its pitch relationships do not generally produce twelve equal semitones.Pitch classCompared with: Its tuning can distinguish enharmonic spellings that share a pitch class in equal temperament.HarmonicRelated: Its simple frequency ratios connect musical intervals to harmonic relationships.TritoneCompared with: Unlike equal temperament, just intonation offers multiple possible sizes for tritone-like intervals.Musical temperamentCompared with: It preserves pure ratios but makes many intervals unusable when music changes key.La Monte YoungRelated: Young’s later work uses precise ratios to create distinctive, slowly beating harmonies.Barbershop musicRelated: Purely tuned chord intervals can strengthen the sensation of a chord ringing.Consonance and dissonanceRelated: It extends the idea that simple ratios produce especially consonant intervals.Terry RileyRelated: Riley’s sustained-tone works often explore the resonance of precisely tuned intervals.Vincenzo GalileiRelated: Its ideal ratios provided a reference point for his tests of practical musical intervals.Gioseffo ZarlinoRelated: Zarlino explained consonant intervals through simple numerical ratios.Harry PartchNarrower topic: Partch built his tuning system from pure ratios rather than the standard twelve-tone equal temperament.Music and mathematicsCompared with: Its pure ratios contrast with equal temperament’s evenly spaced, compromise intervals.