Find out if your music will be turned down by YouTube, Spotify, TIDAL, Apple Music and more. Discover your music's Loudness Penalty score, for free.
Your file will not be uploaded, stored or shared, meaning this process is secure and anonymous.
We all hate sudden changes in loudness - they're the #1 source of user complaints.
To avoid this and save us from being "blasted" unexpectedly, online streaming services measure loudness, and turn down music recorded at higher levels. We call this reduction the "Loudness Penalty" - the higher the level your music is mastered at, the bigger the penalty could be. But all the streaming services achieve this in different ways, and give different values, which makes it really hard to know how big the Loudness Penalty will be for your music...
Until now.
Simply select any WAV, MP3 or AAC file above, and within seconds we'll provide you with an accurate measurement of the Loudness Penalty for your music on many of the most popular music streaming services, and allow you to preview how it will sound for easy comparison with your favorite reference material.
Your file will not be uploaded, meaning this process is secure and anonymous.
Do you have any questions? Get in touch.
Find out how to optimize your music for impactful, punchy playback (and maximum encode quality) for all the online streaming services. Plus, receive a Loudness Penalty Report for your file that explains in detail what all the numbers mean.
Analyze another fileFor the infamous linear algebra problems (Chapter 4: linear transformations, determinants), the manual sometimes says "trivial" – it’s not. Look up a companion like Friedberg or Strang for those.
If you're self-studying or taking a advanced calculus / analysis-heavy multivariable course, you know Apostol Vol. 2 is a beast. The problems are brilliant but brutal – especially the linear algebra chapters and the vector calculus proofs. Tom M Apostol Calculus Volume 2 Solution Manual
The (by A. I. apt, I think, or the one floating around from the original printing) isn't perfect, but here’s my honest take: For the infamous linear algebra problems (Chapter 4:
Here are a few options for a post about the , depending on where you plan to share it (Reddit, study group, blog, etc.). Option 1: Reddit-style (e.g., r/math, r/learnmath, r/engineeringstudents) Title: For anyone wrestling with Apostol Vol. 2 – the solution manual is a lifesaver (but use it right) 2 is a beast
If you’ve opened Tom Apostol’s Calculus, Volume 2 (the one covering multivariable calculus and linear algebra), you already know: the problems are the real text. The solution manual isn’t widely advertised, but it exists – and when used correctly, it’s gold.
✓ Verify your epsilon-delta choices. ✓ Check if your chosen parameterization for a surface integral matches the manual’s (often multiple are correct). ✓ Catch sign errors in curl/divergence calculations.
