Template:Odd-limit intro: Difference between revisions

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<includeonly>The '''{{{1|}}}-odd-limit''' is the set of all [[rational interval]]s for which neither the numerator nor the denominator of the [[frequency ratio]] exceeds {{{1|}}}, once all powers of 2 are removed. {{#ifexpr: {{{1|}}} > 1|To the [[{{#expr: {{{1|}}}-2}}-odd-limit]], it adds {{#invoke: Sequence | get_term
<includeonly>The '''{{{1|}}}-odd-limit''' is the set of all [[rational interval]]s which can be written as $2^k\frac{a}{b}$ where $a, b \leq {{{1|}}}$ and k is an integer. {{#ifexpr: {{{1|}}} > 1|To the [[{{#expr: {{{1|}}}-2}}-odd-limit]], it adds {{#invoke: Sequence | get_term
| odd_limit_diff
| odd_limit_diff
| {{#expr: ({{{1|}}} + 1) / 2}}
| {{#expr: ({{{1|}}} + 1) / 2}}
}} interval pair{{#ifexpr: {{{1|}}} > 3|s|}} involving {{{1|}}}.|}}
}} pairs of [[octavew-reduced]] interval{{#ifexpr: {{{1|}}} > 3|s|}} involving {{{1|}}}.|}}


Below is a list of all [[octave-reduced]] intervals in the {{{1|}}}-odd-limit.</includeonly><noinclude>
Below is a list of all [[octave-reduced]] intervals in the {{{1|}}}-odd-limit.</includeonly><noinclude>