Kai's House of Odds and Ends
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- This revision was by author kai.lugheidh and made on 2018-01-17 04:29:47 UTC.
- The original revision id was 624971083.
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Original Wikitext content:
Hai, I'm Kai! This is a place for musings, messings, and novelties of mine that I'm not sure deserve their own page, or that I'm having trouble fitting into an existing page, but that I think will be of interest to my fellow xen-heads anyways! =La Monte Young's tuning from //The Well-Tuned Piano,// in Rational Comma Notation (and brand spankin' new KAIGI SIGNATURES!)= With Concert Pitch (1/1) being C4@256Hz, Eb4[7] = 7/6 = (298+2/3)Hz serves nicely as the tonic. Originally, Young tuned his "A", 189/128, to 440Hz, giving Eb of (297+187/189)Hz. These two pitches are less than 0.7Hz apart, a difference that can be essentially ignored, unless you're playing along to a recording with the same reference pitch, or feel like giving an officially sanctioned performance of the WTP (yeah right.) The octave above the Eb[7] reference pitch is as follows: || || "Eb" || "E" || "F" || "F#" || "G" || "G#" || "A" || "Bb" || "B" || "C" || "C#" || "D" || || RATIO || 1/1 || 567/512 || 9/8 || 147/128 || 21/16 || 1323/1024 || 189/128 || 3/2 || 49/32 || 7/4 || 441/256 || 63/32 || || CENTS || 0.000000 || 176.645910 || 203.910002 || 239.606814 || 470.780907 || 443.516816 || 674.690909 || 701.955001 || 737.651813 || 968.825906 || 941.561815 || 1172.735908 || || KAIGI SIG. || – || ◻4▲ || ◻2 || ◻▲2 || ◻▲ || ◻3▲2 || ◻3▲ || ◻ || ▲2 || ▲ || ◻2▲2 || ◻2▲ || || ABS. PITCH (RCN) || Eb4[7] || F4[49] || || || || || || || || || || || || FREQUENCY || 298+2/3 || || || || || || || || || || || ||
Original HTML content:
<html><head><title>Kai's House of Odds and Ends</title></head><body>Hai, I'm Kai! This is a place for musings, messings, and novelties of mine that I'm not sure deserve their own page, or that I'm having trouble fitting into an existing page, but that I think will be of interest to my fellow xen-heads anyways!<br />
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<!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="La Monte Young's tuning from The Well-Tuned Piano, in Rational Comma Notation (and brand spankin' new KAIGI SIGNATURES!)"></a><!-- ws:end:WikiTextHeadingRule:0 -->La Monte Young's tuning from <em>The Well-Tuned Piano,</em> in Rational Comma Notation (and brand spankin' new KAIGI SIGNATURES!)</h1>
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With Concert Pitch (1/1) being C4@256Hz, Eb4[7] = 7/6 = (298+2/3)Hz serves nicely as the tonic. Originally, Young tuned his "A", 189/128, to 440Hz, giving Eb of (297+187/189)Hz. These two pitches are less than 0.7Hz apart, a difference that can be essentially ignored, unless you're playing along to a recording with the same reference pitch, or feel like giving an officially sanctioned performance of the WTP (yeah right.)<br />
<br />
The octave above the Eb[7] reference pitch is as follows:<br />
<table class="wiki_table">
<tr>
<td><br />
</td>
<td>"Eb"<br />
</td>
<td>"E"<br />
</td>
<td>"F"<br />
</td>
<td>"F#"<br />
</td>
<td>"G"<br />
</td>
<td>"G#"<br />
</td>
<td>"A"<br />
</td>
<td>"Bb"<br />
</td>
<td>"B"<br />
</td>
<td>"C"<br />
</td>
<td>"C#"<br />
</td>
<td>"D"<br />
</td>
</tr>
<tr>
<td>RATIO<br />
</td>
<td>1/1<br />
</td>
<td>567/512<br />
</td>
<td>9/8<br />
</td>
<td>147/128<br />
</td>
<td>21/16<br />
</td>
<td>1323/1024<br />
</td>
<td>189/128<br />
</td>
<td>3/2<br />
</td>
<td>49/32<br />
</td>
<td>7/4<br />
</td>
<td>441/256<br />
</td>
<td>63/32<br />
</td>
</tr>
<tr>
<td>CENTS<br />
</td>
<td>0.000000<br />
</td>
<td>176.645910<br />
</td>
<td>203.910002<br />
</td>
<td>239.606814<br />
</td>
<td>470.780907<br />
</td>
<td>443.516816<br />
</td>
<td>674.690909<br />
</td>
<td>701.955001<br />
</td>
<td>737.651813<br />
</td>
<td>968.825906<br />
</td>
<td>941.561815<br />
</td>
<td>1172.735908<br />
</td>
</tr>
<tr>
<td>KAIGI SIG.<br />
</td>
<td>–<br />
</td>
<td>◻4▲<br />
</td>
<td>◻2<br />
</td>
<td>◻▲2<br />
</td>
<td>◻▲<br />
</td>
<td>◻3▲2<br />
</td>
<td>◻3▲<br />
</td>
<td>◻<br />
</td>
<td>▲2<br />
</td>
<td>▲<br />
</td>
<td>◻2▲2<br />
</td>
<td>◻2▲<br />
</td>
</tr>
<tr>
<td>ABS. PITCH (RCN)<br />
</td>
<td>Eb4[7]<br />
</td>
<td>F4[49]<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>FREQUENCY<br />
</td>
<td>298+2/3<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
</table>
</body></html>