@kadse@chaos.social @elilla@transmom.love the names of intervals in conventional western music don't come from the harmonic series but from steps in the diatonic scale that is attained by comtinually "stacking" fifths, i.e. 3:2 ratios, and "folding them into an octave, i.e. a tone and the double of it's frequency https://en.wikipedia.org/wiki/Diatonic_scale this was the state of things until around the renaissance people got really into the sound of 5:4 intervals and started retuning some tones of the original scale to it. thus tuning in western music became about nudging the diatonic scale around to fit 3:2 and 5:4 intervals to varying degrees, which by itself created some quite differing sounds. but ultimately nothing above the fifth harmonic was considered, which is why those kinda tuning systems are now referred to as 5-limit https://en.wikipedia.org/wiki/Five-limit_tuning