Temperament addition: Difference between revisions
Cmloegcmluin (talk | contribs) →g_{\text{min}}>1: slight reorganization of statements |
Cmloegcmluin (talk | contribs) →4. Linear independence between temperaments by only one basis vecto (addability)=: fix typo in heading |
||
| Line 263: | Line 263: | ||
A proof of this conjecture is given here: [[Temperament arithmetic#Sintel's proof of the linear-independence conjecture]]. | A proof of this conjecture is given here: [[Temperament arithmetic#Sintel's proof of the linear-independence conjecture]]. | ||
====4. <span style="color: #B6321C;">Linear independence</span> between temperaments by only one basis | ====4. <span style="color: #B6321C;">Linear independence</span> between temperaments by only one basis vector (i.e. addability)==== | ||
Two temperaments are addable if they are <span style="color: #B6321C;"><math>l_{\text{ind}}=1</math></span>. In other words, both their mappings and their comma bases <span style="color: #3C8031;">share</span> all but one basis vector. | Two temperaments are addable if they are <span style="color: #B6321C;"><math>l_{\text{ind}}=1</math></span>. In other words, both their mappings and their comma bases <span style="color: #3C8031;">share</span> all but one basis vector. | ||