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if ppq = 1120,

1120 ticks @60bpm == 1 second.

1120 ticks @120bpm == 0.5 seconds

we can see that this becomes a ratio at 60bpm,

1120:1

given 9999 ticks, we can use this conversion:

9999/1120 = 8.9277 seconds @ 60 bpm

we can also see that there is a ratio between 60bpm:120bpm as a 1:0.5 ratio, since 60/120 = 0.5

60/bpm is the multiplier.

Putting this together, if I have a 30bpm song at 1120 ppq, and I want to calculate out how many seconds 9000 ticks is , I first calculate it at 60bpm at then multiply with the multiplier:

`(ticks/ppq )*(60/bpm)`

which gives us:

(9000/1120)*60/30 = 16.071 seconds

in typescript, this would look like:


      export function ticksToSecs(ticks: number, ppq: number = 96, tempo: number = 33) {
          return (ticks/ppq)*(60/bpm)
        }

for going from seconds to ticks, I found this works (tested against 60, 120 and 200 bpm)

I made a converter going seconds to ticks starting with the above answer from Aaronaught in 2010 of

60000/(tempo* ppq)

However, it was not updating based on tempo in my testing , so I put in tempo*1000 for the top, and divided by 1000 to get seconds since his was in milliseconds.

I also added in tempo so it would change the overall ticks

That gave me this:

    export function secondsToTicks(secondsIn: string, ticksPerQuarterNote: number = 96, tempo: number = 33) {
      const seconds = parseFloat(secondsIn)
      const secondsPerTick = tempo*1000 / (tempo * ticksPerQuarterNote)/1000  
      console.log("seconds:" ,seconds,"ticks:", seconds / secondsPerTick * 1.0,"seconds per tick:", secondsPerTick)
      return  seconds / secondsPerTick * 1.0
    }

I then saw that tempo and 1000 could be simplified out of the equation, which gave me this:


    export function secondsToTicks(secondsIn: string, ticksPerQuarterNote: number = 96, tempo: number = 33) {
      const seconds = parseFloat(secondsIn)
      const secondsPerTick = 1/ticksPerQuarterNote
      console.log("seconds:" ,seconds,"ticks:", seconds / secondsPerTick * 1.0,"seconds per tick:", secondsPerTick)
      return  seconds* ticksPerQuarterNote
    }

which can be simplified further by removing secondsPerTick since it is no longer used and console.log which gives us a seconds to tick- multiply seconds by ticks per quarterNote to get the ticks


    export function secondsToTicks(secondsIn: string, ticksPerQuarterNote: number = 96, tempo: number = 33) {
      const seconds = parseFloat(secondsIn)
      return  seconds* ticksPerQuarterNote
    }

and that is how to convert from seconds to ticks and ticks to seconds.

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