Mike Sheiman's Sweet and Sour Interval List

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This revision was by author mikesheiman and made on 2012-02-23 20:38:09 UTC.
The original revision id was 304629572.
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Original Wikitext content:

|| Sweet || Mild || Borderline/Bridge-able || Sour ||
||   ||   ||   || 13/12 (and smaller) ||
||   ||   || <span style="background-color: #ffff00;">12/11</span> ||   ||
||   ||   || <span style="background-color: #ffff00;">11/10</span> ||   ||
||   ||   || <span style="background-color: #ffff00;">10/9</span> ||   ||
||   || 9/8 ||   ||   ||
||   || 8/7 ||   ||   ||
||   || 7/6 ||   ||   ||
||   ||   ||   || 13/11 ||
|| 6/5 ||   ||   ||   ||
||   ||   || 11/9 ||   ||
|| 5/4 ||   ||   ||   ||
||   || 9/7 ||   ||   ||
||   ||   ||   || 13/10 ||
|| 4/3 ||   ||   ||   ||
||   ||   || <span style="background-color: #ffff00;">15/11</span> ||   ||
||   ||   || <span style="background-color: #ffff00;">11/8</span> ||   ||
||   || 7/5 ||   ||   ||
||   || <span style="background-color: #ffff00;">10/7</span> ||   ||   ||
||   ||   || <span style="background-color: #ffff00;">13/9</span> ||   ||
||   ||   ||   || 16/11 ||
||   ||   || 22/15 ||   ||
||   ||   ||   || 40/27 ||
|| 3/2 ||   ||   ||   ||
||   ||   ||   || 20/13 ||
||   ||   ||   || 17/11 ||
||   ||   || <span style="background-color: #ffff00;">14/9</span> ||   ||
||   ||   || <span style="background-color: #ffff00;">11/7</span> ||   ||
||   || 8/5 ||   ||   ||
||   ||   ||   || 13/8 ||
||   ||   || 18/11 ||   ||
|| 5/3 ||   ||   ||   ||
||   || 12/7 ||   ||   ||
||   || 7/4 ||   ||   ||
||   ||   || 16/9 ||   ||
||   || 9/5 ||   ||   ||
||   ||   || 11/6 ||   ||
||   ||   ||   || 20/11 ||
||   ||   || <span style="background-color: #ffff00;">13/7</span> ||   ||
||   ||   || <span style="background-color: #ffff00;">15/8</span> ||   ||
||   ||   || <span style="background-color: #ffff00;">17/9</span> ||   ||
||   ||   ||   || 19/10 (and above it, but below 2/1) ||

Here is a simple list of dyads I prefer (this is NOT tied or derived from to any formal system of interval limits, octave equivalence, Harmonic Entropy, or anything else).
Note that bridge-able dyads are borderline/"barely" consonant, but can be bridged IE anything between 15/11 and 11/8 or 14/9 and 11/7 will also sound borderline consonant.
Also note that
A) Anything within around 8 cents of an interval, to me, sounds like that interval...and
B) In cases of "sweet" dyads, anything within about 10 cents flat or up to 15 cents sharp of such dyads usually sound fairly consonant to me. IE a 50/33 sounds "ok" as a super-sharp 3/2.
<span style="background-color: #ffff00;">C) Yellow indicates interval bridges</span> IE anything between consecutive yellow intervals sounds borderline consonant...regardless of how far it is from any one yellow interval. Note that mostly only "bridgeable" category intervals can form a bridge.

Original HTML content:

<html><head><title>Mike Sheiman's Sweet and Sour Dyad List</title></head><body>

<table class="wiki_table">
    <tr>
        <td>Sweet<br />
</td>
        <td>Mild<br />
</td>
        <td>Borderline/Bridge-able<br />
</td>
        <td>Sour<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>13/12 (and smaller)<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><span style="background-color: #ffff00;">12/11</span><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><span style="background-color: #ffff00;">11/10</span><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><span style="background-color: #ffff00;">10/9</span><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>9/8<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>8/7<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>7/6<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>13/11<br />
</td>
    </tr>
    <tr>
        <td>6/5<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>11/9<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>5/4<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>9/7<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>13/10<br />
</td>
    </tr>
    <tr>
        <td>4/3<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><span style="background-color: #ffff00;">15/11</span><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><span style="background-color: #ffff00;">11/8</span><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>7/5<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><span style="background-color: #ffff00;">10/7</span><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><span style="background-color: #ffff00;">13/9</span><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>16/11<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>22/15<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>40/27<br />
</td>
    </tr>
    <tr>
        <td>3/2<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>20/13<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>17/11<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><span style="background-color: #ffff00;">14/9</span><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><span style="background-color: #ffff00;">11/7</span><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>8/5<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>13/8<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>18/11<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>5/3<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>12/7<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>7/4<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>16/9<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>9/5<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>11/6<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>20/11<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><span style="background-color: #ffff00;">13/7</span><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><span style="background-color: #ffff00;">15/8</span><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><span style="background-color: #ffff00;">17/9</span><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>19/10 (and above it, but below 2/1)<br />
</td>
    </tr>
</table>

<br />
Here is a simple list of dyads I prefer (this is NOT tied or derived from to any formal system of interval limits, octave equivalence, Harmonic Entropy, or anything else).<br />
Note that bridge-able dyads are borderline/&quot;barely&quot; consonant, but can be bridged IE anything between 15/11 and 11/8 or 14/9 and 11/7 will also sound borderline consonant.<br />
Also note that<br />
A) Anything within around 8 cents of an interval, to me, sounds like that interval...and<br />
B) In cases of &quot;sweet&quot; dyads, anything within about 10 cents flat or up to 15 cents sharp of such dyads usually sound fairly consonant to me. IE a 50/33 sounds &quot;ok&quot; as a super-sharp 3/2.<br />
<span style="background-color: #ffff00;">C) Yellow indicates interval bridges</span> IE anything between consecutive yellow intervals sounds borderline consonant...regardless of how far it is from any one yellow interval. Note that mostly only &quot;bridgeable&quot; category intervals can form a bridge.</body></html>
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