We characterize an all-sky catalog of { \sim } 8 , 400 \delta Scuti variables in ASAS-SN , which includes { \sim } 3 , 300 new discoveries .
Using distances from Gaia DR2 , we derive period-luminosity relationships ( PLRs ) for both the fundamental mode and overtone pulsators in the W _ { JK } , V , Gaia DR2 G , J , H , K _ { s } and W _ { 1 } bands .
We find that the overtone pulsators have a dominant overtone mode , with many sources pulsating in the second overtone or higher order modes .

The fundamental mode pulsators have metallicity dependent periods , with \log _ { 10 } ( P ) { \sim } -1.1 for [ Fe / H ] < -0.3 and \log _ { 10 } ( P ) { \sim } -0.9 for [ Fe / H ] > 0 which leads to a period-dependant scale height .
Stars with P > 0.100 d are predominantly located close to the Galactic disk ( |Z| < 0.5 kpc ) .
The median period at a scale height of Z { \sim } 0 kpc also increases with the Galactocentric radius R , from \log _ { 10 } ( P ) { \sim } -0.94 for sources with R > 9 kpc to \log _ { 10 } ( P ) { \sim } -0.85 for sources with R < 7 kpc , which is indicative of a radial metallicity gradient .

To illustrate potential applications of this all-sky catalog , we obtained 30 min cadence , image subtraction TESS light curves for a sample of 10 fundamental mode and 10 overtone \delta Scuti stars discovered by ASAS-SN .
From this sample , we identified two new \delta Scuti eclipsing binaries , ASASSN-V J071855.62 - 434247.3 and ASASSN-V J170344.20 - 615941.2 with short orbital periods of P _ { orb } = 2.6096 d and P _ { orb } = 2.5347 d respectively .