Xen concepts for beginners: Difference between revisions
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* ''frequency ratios'' | * ''frequency ratios'' | ||
** the frequency is the absolute pitch of any given tone usually in hertz (Hz). The ratio between frequencies is just a number. | ** the frequency is the absolute pitch of any given tone usually in hertz (Hz). The ratio between frequencies is just a number. | ||
* ''logarithmic units'' such as cents and edo steps that | * ''logarithmic units'' such as cents and edo steps that treat intervals we hear as equal as the same additive unit | ||
To stack two intervals, we use different types of operations for the two kinds of units. To stack two intervals written as ratios, we *multiply*, whereas to stack two intervals written as cents or edo steps, we *add* the intuitive way. To "unstack" an interval from another interval, we *divide* the respective ratios and *subtract* logarithmic units. To convert between cents and ratios we use the following formulas: | To stack two intervals, we use different types of operations for the two kinds of units. To stack two intervals written as ratios, we *multiply*, whereas to stack two intervals written as cents or edo steps, we *add* the intuitive way. To "unstack" an interval from another interval, we *divide* the respective ratios and *subtract* logarithmic units. To convert between cents and ratios we use the following formulas: | ||