npub13g7298atz6a7dgkywhvwwvfrw2aj0xuu254dezcq5uaq34gq0jnqmwdaxp (npub13g7…daxp) - things get really complicated! In the Pythagorean scale here we get two different notes: the augmented 4th which is a bit lower than the tritone, and the diminished 5th which is a bit higher. The augmented 4th is
1024/729 ≈ 1.404664
the tritone is
√2 ≈ 1.414214
and the diminished 5th
729/512 ≈ 1.423828
I sure don't claim I can hear the difference! But if two were played simultaneously they would sound out of tune.
John Carlos Baez /
npub17u…8pd6m
2023-10-05 10:47:04
in reply to nevent1q…vda5
Author Public Key
npub17u6xav5rjq4d48fpcyy6j05rz2xelp7clnl8ptvpnval9tvmectqp8pd6mPublished at
2023-10-05 10:47:04Event JSON
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"content": "nostr:npub13g7298atz6a7dgkywhvwwvfrw2aj0xuu254dezcq5uaq34gq0jnqmwdaxp - things get really complicated! In the Pythagorean scale here we get two different notes: the augmented 4th which is a bit lower than the tritone, and the diminished 5th which is a bit higher. The augmented 4th is \n\n1024/729 ≈ 1.404664\n\nthe tritone is\n\n√2 ≈ 1.414214\n\nand the diminished 5th\n\n729/512 ≈ 1.423828\n\nI sure don't claim I can hear the difference! But if two were played simultaneously they would sound out of tune.",
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