Conversation

In four-part harmony, singing the harmonic series 1, 3, 4, 5 can produce one form of this effect: i.e. the tonic, and its major triad in second inversion an above. e.g. this (remarkable) cadence resolves to that disposition in A major (A E A C#): youtu.be/Qo_N9_ZFBhs?t= Tingly!
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I think it feels tingly because of all the overtone interactions between those whole numbers. The bass's overtones reinforce all the other fundamentals; then there'll be strong overlaps at 12, 15, 20, etc.
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In my experience, this effect is much stronger when singing with less vibrato and quite a bright timbre (i.e. more upper overtones!). I hadn't really understood this—I sing mostly contemporary pop—but barbershop stylistic choices are mostly in pursuit of this effect.
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How do inversions/dispositions influence the effect? eg If the Notre Dame cadence resolved to root triad instead of second inv above bass: 1, 2, 5/2, 3 instead of 1, 3, 4, 5. That'd emphasize a root-fifth interaction, which might detract from the sus resolution of the third.
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I experience something like this effect with close dissonant chords, too, which barbershop eschews. What's going on there? e.g. in Eric Whitacre's music, there are lots of so-called "fist chords". These sometimes produce the effect for me too! Why? Overtones aren't very aligned.
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Why is this effect so much stronger for the singer than for the listener? There's something in being the *causer*, but it's also physical: when the effect occurs, It feels like my voice, my chest, the air in my lungs, my muscles, all resonate with the room and the other singers.
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Goofy question I've been noodling with: it's not easy for an amateur to produce this effect—so could one design a simple cybernetic exhibit to give an untrained person the experience of causing this with their voice? I have a few ideas…
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